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Bernd Sturmfels - Publications by Type

Explore the scholarly works of Bernd Sturmfels. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover the latest research through preprints.

Journal Articles

inJournal
2025 Journal Open Access
Viktoriia Borovik, Bernd Sturmfels and Svala Sverrisdóttir

Coupled cluster degree of the Grassmannian

In: Journal of symbolic computation, 128 (2025), p. 102396

BibTex

 DOI: 10.1016/j.jsc.2024.102396 ArXiv: 2310.15474 Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
Daniele Agostini, Hannah Markwig, Clemens Nollau, Victoria Schleis, Javier Sendra-Arranz and Bernd Sturmfels

Recovery of plane curves from branch points

In: Discrete and computational geometry, 72 (2024) 2, pp. 451-475

BibTex

 DOI: 10.1007/s00454-023-00538-5 ArXiv: 2205.11287 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Aldo Conca, Simone Naldi, Giorgio Ottaviani and Bernd Sturmfels

Taylor polynomials of rational functions

In: Acta mathematica Vietnamica, 49 (2024) 1, pp. 19-37

BibTex

 DOI: 10.1007/s40306-023-00514-4 ArXiv: 2304.00712
inJournal
2024 Journal Open Access
Fabian Faulstich, Bernd Sturmfels and Svala Sverrisdóttir

Algebraic varieties in quantum chemistry

In: Foundations of computational mathematics, (2024)

BibTex

 DOI: 10.1007/s10208-024-09657-8 ArXiv: 2308.05258
inJournal
2024 Repository Open Access
Hannah Friedman, Bernd Sturmfels and Maksym Zubkov

Likelihood geometry of determinantal point processes

In: Algebraic statistics, 15 (2024) 1, pp. 15-25

BibTex

 DOI: 10.2140/astat.2024.15.15 ArXiv: 2307.13486
inJournal
2024 Repository Open Access
Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels

Subspaces fixed by a nilpotent matrix

In: Orbita mathematicae, 1 (2024) 1, pp. 1-15

BibTex

 DOI: 10.2140/om.2024.1.1 ArXiv: 2207.00802
inJournal
2024 Journal Open Access
Hana Melánová, Bernd Sturmfels and Rosa Winter

Recovery from power sums

In: Experimental mathematics, 33 (2024) 2, pp. 225-234

BibTex

 DOI: 10.1080/10586458.2022.2061650 ArXiv: 2106.13981
inJournal
2024 Repository Open Access
Bernd Sturmfels, Simon Telen, François-Xavier Vialard and Max von Renesse

Toric geometry of entropic regularization

In: Journal of symbolic computation, 120 (2024), p. 102221

BibTex

 DOI: 10.1016/j.jsc.2023.102221 ArXiv: 2202.01571
inJournal
2023 Repository Open Access
Daniele Agostini, Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

KP solitons from tropical limits

In: Journal of symbolic computation, 114 (2023), pp. 282-301

BibTex

 DOI: 10.1016/j.jsc.2022.04.009 ArXiv: 2101.10392 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations

In: Advances in mathematics, 414 (2023), p. 108863

BibTex

 DOI: 10.1016/j.aim.2023.108863 ArXiv: 2107.10518 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Rida Ait El Manssour, Marc Härkönen and Bernd Sturmfels

Linear PDE with constant coefficients

In: Glasgow mathematical journal, 65 (2023) S1, S2-S27

BibTex

 DOI: 10.1017/S0017089521000355 ArXiv: 2104.10146
inJournal
2023 Repository Open Access
Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels and Simon Telen

Bayesian integrals on toric varieties

In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 77-103

BibTex

 DOI: 10.1137/22M1490569 ArXiv: 2204.06414 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Yairon Cid-Ruiz and Bernd Sturmfels

Primary decomposition with differential operators

In: International mathematics research notices, 2023 (2023) 14, pp. 12119-12147

BibTex

 DOI: 10.1093/imrn/rnac178 ArXiv: 2101.03643 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels and Raluca Vlad

Self-dual matroids from canonical curves

In: Experimental mathematics, (2023)

BibTex

 DOI: 10.1080/10586458.2023.2239282 ArXiv: 2212.05910 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Marc Härkönen, Jonas Hirsch and Bernd Sturmfels

Making waves

In: La matematica, 2 (2023) 3, pp. 593-615

BibTex

 DOI: 10.1007/s44007-023-00056-z ArXiv: 2111.14045 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Thinh P. Le, Chiara Meroni, Bernd Sturmfels, Reinhard F. Werner and Timo Ziegler

Quantum correlations in the minimal scenario

In: Quantum : the open journal for quantum science, 7 (2023), pp. 1-59

BibTex

 DOI: 10.22331/q-2023-03-16-947 ArXiv: 2111.06270
inJournal
2023 Repository Open Access
Laurent Manivel, Bernd Sturmfels and Svala Sverrisdóttir

Four-dimensional Lie algebras revisited

In: Journal of lie theory, 33 (2023) 3, pp. 703-712

BibTex

 ArXiv: 2208.14631 Link: www.heldermann.de Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Dmitrii Pavlov, Bernd Sturmfels and Simon Telen

Gibbs manifolds

In: Information geometry, (2023)

BibTex

 DOI: 10.1007/s41884-023-00111-2 ArXiv: 2211.15490 Code: mathrepo.mis.mpg.de
inJournal
2022 Repository Open Access
Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels and Madeleine Weinstein

Voronoi cells of varieties

In: Journal of symbolic computation, 109 (2022), pp. 351-366

BibTex

 DOI: 10.1016/j.jsc.2020.07.009 ArXiv: 1811.08395

MiS Preprint
inJournal
2022 Journal Open Access
Yassine El Maazouz, Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels

Orders and polytropes : matrix algebras from valuations

In: Beiträge zur Algebra und Geometrie, 63 (2022) 3, pp. 515-531

BibTex

 DOI: 10.1007/s13366-021-00600-4 ArXiv: 2107.00503 Code: mathrepo.mis.mpg.de
inJournal
2022 Journal Open Access
İrem Portakal and Bernd Sturmfels

Geometry of dependency equilibria

In: Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 54 (2022), p. 5

BibTex

 DOI: 10.13137/2464-8728/33881 ArXiv: 2201.05506
inJournal
2022 Repository Open Access
Elina Robeva, Bernd Sturmfels and Caroline Uhler

Publisher correction: 'Geometry of log-concave density estimation' [In: Discrete and computational geometry, 61 (2019) 1, p. 136-160]

In: Discrete and computational geometry, 68 (2022) 2, pp. 645-645

BibTex

 DOI: 10.1007/s00454-022-00434-4 ArXiv: 1704.01910
inJournal
2021 Repository Open Access
Daniele Agostini, Türkü Özlüm Celik and Bernd Sturmfels

The Dubrovin threefold of an algebraic curve

In: Nonlinearity, 34 (2021) 6, pp. 3783-3812

BibTex

 DOI: 10.1088/1361-6544/abf08c ArXiv: 2005.08244
inJournal
2021 Journal Open Access
Daniele Agostini, Türkü Özlüm Celik, Julia Struwe and Bernd Sturmfels

Theta surfaces

In: Vietnam journal of mathematics, 49 (2021) 2, pp. 319-347

BibTex

 DOI: 10.1007/s10013-020-00443-x ArXiv: 2001.11385 Link: math.berkeley.edu
inJournal
2021 Repository Open Access
Gabriele Baletti, Marta Panizzut and Bernd Sturmfels

K3 polytopes and their quartic surfaces

In: Advances in geometry, 21 (2021) 1, pp. 85-98

BibTex

 DOI: 10.1515/advgeom-2020-0016 ArXiv: 1806.02236

MiS Preprint
inJournal
2021 Journal Open Access
Arthur Bik, Henrik Eisenmann and Bernd Sturmfels

Jordan algebras of symmetric matrices

In: Le Matematiche, 76 (2021) 2, pp. 337-353

BibTex

 DOI: 10.4418/2021.76.2.3 ArXiv: 2010.00277 Code: mathrepo.mis.mpg.de
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Claudia Fevola and Bernd Sturmfels

Tangent quadrics in real 3-space

In: Le Matematiche, 76 (2021) 2, pp. 355-367

BibTex

 DOI: 10.4418/2021.76.2.4 ArXiv: 2010.10879 Code: mathrepo.mis.mpg.de
inJournal
2021 Repository Open Access
Türkü Özlüm Celik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels and Lorenzo Venturello

Wasserstein distance to independence models

In: Journal of symbolic computation, 104 (2021), pp. 855-873

BibTex

 DOI: 10.1016/j.jsc.2020.10.005 ArXiv: 2003.06725
inJournal
2021 Repository Open Access
Yairon Cid-Ruiz, Roser Homs and Bernd Sturmfels

Primary ideals and their differential equations

In: Foundations of computational mathematics, 21 (2021) 5, pp. 1363-1399

BibTex

 DOI: 10.1007/s10208-020-09485-6 ArXiv: 2001.04700 Code: mathrepo.mis.mpg.de
inJournal
2021 Repository Open Access
Eliana Duarte, Orlando Marigliano and Bernd Sturmfels

Discrete statistical models with rational maximum likelihood estimator

In: Bernoulli, 27 (2021) 1, pp. 135-154

BibTex

 DOI: 10.3150/20-BEJ1231 ArXiv: 1903.06110

MiS Preprint
inJournal
2021 Journal Open Access
Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

Pencils of quadrics : old and new

In: Le Matematiche, 76 (2021) 2, pp. 319-335

BibTex

 DOI: 10.4418/2021.76.2.2 ArXiv: 2009.04334
inJournal
2021 Journal Open Access
Yuhan Jiang and Bernd Sturmfels

Bad projections of the PSD cone

In: Collectanea mathematica, 72 (2021) 2, pp. 261-280

BibTex

 DOI: 10.1007/s13348-021-00319-4 ArXiv: 2006.09956
inJournal
2021 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

Correction to [updated to open access] : 'The Schläfli fan' [In: Discrete and computational geometry, 64 (2020) 2, p. 355-381]

In: Discrete and computational geometry, 66 (2021) 4, pp. 1217-1217

BibTex

 DOI: 10.1007/s00454-021-00322-3
inJournal
2021 Repository Open Access
Elina Robeva, Bernd Sturmfels, Ngoc Mai Tran and Caroline Uhler

Maximum likelihood estimation for totally positive log-concave densities

In: Scandinavian journal of statistics, 48 (2021) 3, pp. 817-844

BibTex

 DOI: 10.1111/sjos.12462 ArXiv: 1806.10120

MiS Preprint
inJournal
2021 Repository Open Access
Bernd Sturmfels and Simon Telen

Likelihood equations and scattering amplitudes

In: Algebraic statistics, 12 (2021) 2, pp. 167-186

BibTex

 DOI: 10.2140/astat.2021.12.167 ArXiv: 2012.05041
inJournal
2020 Repository Open Access
Michael F. Adamer, András Christian Lőrincz, Anna-Laura Sattelberger and Bernd Sturmfels

Algebraic analysis of rotation data

In: Algebraic statistics, 11 (2020) 2, pp. 189-211

BibTex

 DOI: 10.2140/astat.2020.11.189 ArXiv: 1912.00396
inJournal
2020 Journal Open Access
Paul Breiding, Bernd Sturmfels and Sascha Timme

3264 conics in a second

In: Notices of the American Mathematical Society, 67 (2020) 1, pp. 30-37

BibTex

 ArXiv: 1902.05518

MiS Preprint

 Link: www.ams.org
inJournal
2020 Journal Open Access
Diego Cifuentes, Corey Harris and Bernd Sturmfels

The geometry of SDP-exactness in quadratic optimization

In: Mathematical programming, 182 (2020) 1/2, pp. 399-428

BibTex

 DOI: 10.1007/s10107-019-01399-8 ArXiv: 1804.01796

MiS Preprint
inJournal
2020 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

The Schläfli fan

In: Discrete and computational geometry, 64 (2020) 2, pp. 355-381

BibTex

 DOI: 10.1007/s00454-020-00215-x ArXiv: 1905.11951

MiS Preprint
inJournal
2020 Repository Open Access
Kathlén Kohn, Boris Shapiro and Bernd Sturmfels

Moment varieties of measures on polytopes

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 21 (2020), pp. 739-770

BibTex

 DOI: 10.2422/2036-2145.201808_003 ArXiv: 1807.10258

MiS Preprint
inJournal
2020 Journal Open Access
Marta Panizzut, Emre Can Sertöz and Bernd Sturmfels

An octanomial model for cubic surfaces

In: Le Matematiche, 75 (2020) 2, pp. 517-536

BibTex

 DOI: 10.4418/2020.75.2.8 ArXiv: 1908.06106 Code: mathrepo.mis.mpg.de
inJournal
2020 Journal Open Access
Kristian Ranestad and Bernd Sturmfels

Twenty-seven questions about the cubic surface

In: Le Matematiche, 75 (2020) 2, pp. 411-424

BibTex

 DOI: 10.4418/2020.75.2.1 ArXiv: 1912.07347
inJournal
2020 Journal Open Access
Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik

Brownian motion tree models are toric

In: Kybernetika, 56 (2020) 6, pp. 1154-1175

BibTex

 DOI: 10.14736/kyb-2020-6-1154 ArXiv: 1902.09905

MiS Preprint
inJournal
2020 Repository Open Access
Bernd Sturmfels, Sascha Timme and Piotr Zwiernik

Estimating linear covariance models with numerical nonlinear algebra

In: Algebraic statistics, 11 (2020) 1, pp. 31-52

BibTex

 DOI: 10.2140/astat.2020.11.31 ArXiv: 1909.00566
inJournal
2019 Journal Open Access
Carlos Améndola, Peter K. Friz and Bernd Sturmfels

Varieties of signature tensors

In: Forum of mathematics / Sigma, 7 (2019), e10

BibTex

 DOI: 10.1017/fms.2019.3 ArXiv: 1804.08325

MiS Preprint
inJournal
2019 Repository Open Access
Tobias Boege, Alessio D'Alì, Thomas Kahle and Bernd Sturmfels

The geometry of Gaussoids

In: Foundations of computational mathematics, 19 (2019) 4, pp. 775-812

BibTex

 DOI: 10.1007/s10208-018-9396-x ArXiv: 1710.07175

MiS Preprint
inJournal
2019 Repository Open Access
Lynn Chua, Mario Kummer and Bernd Sturmfels

Schottky algorithms : classical meets tropical

In: Mathematics of computation, 88 (2019) 319, pp. 2541-2558

BibTex

 DOI: 10.1090/mcom/3406 ArXiv: 1707.08520

MiS Preprint
inJournal
2019 Journal Open Access
Daniel Ciripoi, Nidhi Kaihnsa, Andreas Löhne and Bernd Sturmfels

Computing convex hulls of trajectories

In: Revista de la Unión Matemática Argentina, 60 (2019) 2, pp. 637-662

BibTex

 DOI: 10.33044/revuma.v60n2a22 ArXiv: 1810.03547

MiS Preprint
inJournal
2019 Repository Open Access
Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann, Mahsa Sayyary Namin and Bernd Sturmfels

Sixty-four curves of degree six

In: Experimental mathematics, 28 (2019) 2, pp. 132-150

BibTex

 DOI: 10.1080/10586458.2017.1360808 ArXiv: 1703.01660

MiS Preprint

 Code: mathrepo.mis.mpg.de
inJournal
2019 Repository Open Access
Max Pfeffer, Anna Seigal and Bernd Sturmfels

Learning paths from signature tensors

In: SIAM journal on matrix analysis and applications, 40 (2019) 2, pp. 394-416

BibTex

 DOI: 10.1137/18M1212331 ArXiv: 1809.01588

MiS Preprint
inJournal
2019 Repository Open Access
Elina Robeva, Bernd Sturmfels and Caroline Uhler

Geometry of log-concave density estimation

In: Discrete and computational geometry, 61 (2019) 1, pp. 136-160

BibTex

 DOI: 10.1007/s00454-018-0024-y ArXiv: 1704.01910

MiS Preprint
inJournal
2019 Journal Open Access
Bernd Sturmfels

Adventures in mentoring

In: Notices of the American Mathematical Society, 66 (2019) 8, pp. 1300-1302

BibTex

 Link: www.ams.org
inJournal
2018 Repository Open Access
Carlos Améndola, Kristian Ranestad and Bernd Sturmfels

Algebraic identifiability of Gaussian mixtures

In: International mathematics research notices, 2018 (2018) 21, pp. 6556-6580

BibTex

 DOI: 10.1093/imrn/rnx090 ArXiv: 1612.01129

MiS Preprint
inJournal
2018 Journal Open Access
Paul Breiding, Sara Kališnik Verovšek, Bernd Sturmfels and Madeleine Weinstein

Learning algebraic varieties from samples

In: Revista matematica complutense, 31 (2018) 3, pp. 545-593

BibTex

 DOI: 10.1007/s13163-018-0273-6 ArXiv: 1802.09436

MiS Preprint
inJournal
2018 Repository Open Access
Martin Helmer and Bernd Sturmfels

Nearest points on toric varieties

In: Mathematica Scandinavica, 122 (2018) 2, pp. 213-238

BibTex

 DOI: 10.7146/math.scand.a-101478 ArXiv: 1603.06544
inJournal
2018 Repository Open Access
Joe Kileel, Zuzana Kukelova, Tomas Pajdla and Bernd Sturmfels

Distortion varieties

In: Foundations of computational mathematics, 18 (2018) 4, pp. 1043-1071

BibTex

 DOI: 10.1007/s10208-017-9361-0 ArXiv: 1610.01860
inJournal
2018 Repository Open Access
Kathlén Kohn, Bernd Sturmfels and Matthew Trager

Changing views on curves and surfaces

In: Acta mathematica Vietnamica, 43 (2018) 1, pp. 1-29

BibTex

 DOI: 10.1007/s40306-017-0240-1 ArXiv: 1707.01877

MiS Preprint
inJournal
2018 Repository Open Access
Mateusz Michałek and Bernd Sturmfels

Tensoren und ihre Zerlegungen

In: Jahrbuch der Max-Planck-Gesellschaft, 2018 (2018), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften

BibTex

 Link: www.mpg.de
inJournal
2017 Repository Open Access
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels and Rekha R. Thomas

On the existence of epipolar matrices

In: International journal of computer vision, 121 (2017) 3, pp. 403-415

BibTex

 DOI: 10.1007/s11263-016-0949-7 ArXiv: 1510.01401
inJournal
2017 Repository Open Access
Mathias Drton, Thomas Kahle, Bernd Sturmfels and Caroline Uhler

Algebraic statistics : 16 April - 22 April 2017 ; report no. 20/2017

In: Oberwolfach reports, 14 (2017) 2, pp. 1207-1279

BibTex

 DOI: 10.4171/OWR/2017/20 Link: publications.mfo.de
inJournal
2017 Repository Open Access
Bo Lin, Bernd Sturmfels, Xiaoxian Tang and Ruriko Yoshida

Convexity in tree spaces

In: SIAM journal on discrete mathematics, 31 (2017) 3, pp. 2015-2038

BibTex

 DOI: 10.1137/16M1079841 ArXiv: 1510.08797
inJournal
2017 Journal Open Access
Mateusz Michałek, Hyunsuk Moon, Bernd Sturmfels and Emanuele Ventura

Real rank geometry of ternary forms

In: Annali di matematica pura ed applicata, 196 (2017) 3, pp. 1025-1054

BibTex

 DOI: 10.1007/s10231-016-0606-3 ArXiv: 1601.06574
inJournal
2017 Repository Open Access
Jean Ponce, Bernd Sturmfels and Matthew Trager

Congruences and concurrent lines in multi-view geometry

In: Advances in applied mathematics, 88 (2017), pp. 62-91

BibTex

 DOI: 10.1016/j.aam.2017.01.001 ArXiv: 1608.05924
inJournal
2017 Repository Open Access
Anna Seigal, Portia M. Mira, Bernd Sturmfels and Miriam Barlow

Does antibiotic resistance evolve in hospitals?

In: Bulletin of mathematical biology, 79 (2017) 1, pp. 191-208

BibTex

 DOI: 10.1007/s11538-016-0232-7 ArXiv: 1605.03660
inJournal
2017 Repository Open Access
Anna Seigal and Bernd Sturmfels

Real rank two geometry

In: Journal of algebra, 484 (2017), pp. 310-333

BibTex

 DOI: 10.1016/j.jalgebra.2017.04.014 ArXiv: 1609.09245
inJournal
2017 Journal Open Access
Bernd Sturmfels

Message from the editor-in-chief

In: SIAM journal on applied algebra and geometry, 1 (2017) 1, pp. 1-1

BibTex

 DOI: 10.1137/17N974240
inJournal
2017 Repository Open Access
Bernd Sturmfels

The Hurwitz form of a projective variety

In: Journal of symbolic computation, 79 (2017) 1, pp. 186-196

BibTex

 DOI: 10.1016/j.jsc.2016.08.012 ArXiv: 1410.6703
inJournal
2016 Journal Open Access
Carlos Améndola, Jean-Charles Faugère and Bernd Sturmfels

Moment varieties of Gaussian mixtures

In: Journal of algebraic statistics, 7 (2016) 1, pp. 14-28

BibTex

 DOI: 10.18409/jas.v7i1.42 ArXiv: 1510.04654
inJournal
2016 Repository Open Access
Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels and Rekha R. Thomas

The Euclidean distance degree of an algebraic variety

In: Foundations of computational mathematics, 16 (2016) 1, pp. 99-149

BibTex

 DOI: 10.1007/s10208-014-9240-x ArXiv: 1309.0049
inJournal
2016 Repository Open Access
Elizabeth Gross, Heather A. Harrington, Zvi Rosen and Bernd Sturmfels

Algebraic systems biology : a case study for the Wnt pathway

In: Bulletin of mathematical biology, 78 (2016) 1, pp. 21-51

BibTex

 DOI: 10.1007/s11538-015-0125-1 ArXiv: 1502.03188
inJournal
2016 Repository Open Access
Michael Joswig, Joe Kileel, Bernd Sturmfels and André Wagner

Rigid multiview varieties

In: International journal of algebra and computation, 26 (2016) 4, pp. 775-788

BibTex

 DOI: 10.1142/S021819671650034X ArXiv: 1509.03257
inJournal
2016 Repository Open Access
Hwangrae Lee and Bernd Sturmfels

Duality of multiple root loci

In: Journal of algebra, 446 (2016), pp. 499-526

BibTex

 DOI: 10.1016/j.jalgebra.2015.08.029 ArXiv: 1508.00202
inJournal
2016 Repository Open Access
Mateusz Michałek, Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik

Exponential varieties

In: Proceedings of the London Mathematical Society, 112 (2016) 1, pp. 27-56

BibTex

 DOI: 10.1112/plms/pdv066 ArXiv: 1412.6185
inJournal
2016 Repository Open Access
Luke Oeding, Elina Robeva and Bernd Sturmfels

Decomposing tensors into frames

In: Advances in applied mathematics, 73 (2016), pp. 125-153

BibTex

 DOI: 10.1016/j.aam.2015.10.004 ArXiv: 1504.08049
inJournal
2016 Repository Open Access
Qingchun Ren, Kristin Shaw and Bernd Sturmfels

Tropicalization of del Pezzo surfaces

In: Advances in mathematics, 300 (2016), pp. 156-189

BibTex

 DOI: 10.1016/j.aim.2016.03.017 ArXiv: 1402.5651
inJournal
2016 Repository Open Access
Bernd Sturmfels, Emmanuel Tsukerman and Lauren Williams

Symmetric matrices, Catalan paths, and correlations

In: Journal of combinatorial theory / A, 144 (2016), pp. 496-510

BibTex

 DOI: 10.1016/j.jcta.2016.06.014 ArXiv: 1511.04125
inJournal
2016 Journal Open Access
Bernd Sturmfels

Tensors and their eigenvectors

In: Notices of the American Mathematical Society, 63 (2016) 6, pp. 604-606

BibTex

 DOI: 10.1090/noti1389 Link: math.berkeley.edu
inJournal
2015 Repository Open Access
Elizabeth S. Allman, John A. Rhodes, Bernd Sturmfels and Piotr Zwiernik

Tensors of nonnegative rank two

In: Linear algebra and its applications, 473 (2015), pp. 37-53

BibTex

 DOI: 10.1016/j.laa.2013.10.046 ArXiv: 1305.0539
inJournal
2015 Journal Open Access
Sarah Brodsky, Michael Joswig, Ralph Morrison and Bernd Sturmfels

Moduli of tropical plane curves

In: Research in the mathematical sciences, 2 (2015) 1, p. 4

BibTex

 DOI: 10.1186/s40687-014-0018-1 ArXiv: 1409.4395
inJournal
2015 Journal Open Access
Maria Kateri, Fatemeh Mohammadi and Bernd Sturmfels

A family of quasisymmetry models

In: Journal of algebraic statistics, 6 (2015) 1, pp. 1-16

BibTex

 DOI: 10.18409/jas.v6i1.33 ArXiv: 1403.0547
inJournal
2015 Repository Open Access
Kaie Kubjas, Elina Robeva and Bernd Sturmfels

Fixed points of the EM algorithm and nonnegative rank boundaries

In: The annals of statistics, 43 (2015) 1, pp. 422-461

BibTex

 DOI: 10.1214/14-AOS1282 ArXiv: 1312.5634
inJournal
2015 Journal Open Access
Portia M. Mira, Kristina Crona, Devin Greene, Juan C. Meza, Bernd Sturmfels and Miriam Barlow

Correction: Rational design of antibiotic treatment plans : a treatment strategy for managing evolution and reversing resistance (vol 10, e0122283, 2015)

In: PLOS ONE, 10 (2015) 9, e0139387

BibTex

 DOI: 10.1371/journal.pone.0139387
inJournal
2015 Journal Open Access
Portia M. Mira, Kristina Crona, Devin Greene, Juan C. Meza, Bernd Sturmfels and Miriam Barlow

Rational design of antibiotic treatment plans : a treatment strategy for managing evolution and reversing resistance

In: PLOS ONE, 10 (2015) 5, e0122283

BibTex

 DOI: 10.1371/journal.pone.0122283 ArXiv: 1406.1564
inJournal
2015 Repository Open Access
John Christian Ottem, Kristian Ranestad, Bernd Sturmfels and Cynthia Vinzant

Quartic spectrahedra

In: Mathematical programming, 151 (2015) 2, pp. 585-612

BibTex

 DOI: 10.1007/s10107-014-0844-3 ArXiv: 1311.3675
inJournal
2015 Repository Open Access
Qingchun Ren, Jürgen Richter-Gebert and Bernd Sturmfels

Cayley-Bacharach formulas

In: The American mathematical monthly, 122 (2015) 9, pp. 845-854

BibTex

 DOI: 10.4169/amer.math.monthly.122.9.845 ArXiv: 1405.6438
inJournal
2015 Repository Open Access
Rainer Sinn and Bernd Sturmfels

Generic spectrahedral shadows

In: SIAM journal on optimization, 25 (2015) 2, pp. 1209-1220

BibTex

 DOI: 10.1137/140978478 ArXiv: 1407.5219
inJournal
2014 Journal Open Access
Jonathan Hauenstein, Jose Israel Rodriguez and Bernd Sturmfels

Maximum likelihood for matrices with rank constraints

In: Journal of algebraic statistics, 5 (2014) 1, pp. 18-38

BibTex

 DOI: 10.18409/jas.v5i1.23 ArXiv: 1210.0198
inJournal
2014 Repository Open Access
Shaowei Lin, Caroline Uhler, Bernd Sturmfels and Peter Bühlmann

Hypersurfaces and their singularities in partial correlation testing

In: Foundations of computational mathematics, 14 (2014) 5, pp. 1079-1116

BibTex

 DOI: 10.1007/s10208-014-9205-0 ArXiv: 1209.0285
inJournal
2014 Repository Open Access
Giorgio Ottaviani, Pierre-Jean Spaenlehauer and Bernd Sturmfels

Exact solutions in structured low-rank approximation

In: SIAM journal on matrix analysis and applications, 35 (2014) 4, pp. 1521-1542

BibTex

 DOI: 10.1137/13094520X ArXiv: 1311.2376
inJournal
2014 Repository Open Access
Qingchun Ren, Steven V. Sam and Bernd Sturmfels

Tropicalization of classical moduli spaces

In: Mathematics in computer science, 8 (2014) 2, pp. 119-145

BibTex

 DOI: 10.1007/s11786-014-0185-x ArXiv: 1303.1132
inJournal
2013 Repository Open Access
Chris Aholt, Bernd Sturmfels and Rekha R. Thomas

A Hilbert scheme in computer vision

In: Canadian journal of mathematics, 65 (2013) 5, pp. 961-988

BibTex

 DOI: 10.4153/CJM-2012-023-2 ArXiv: 1107.2875
inJournal
2013 Repository Open Access
Dustin Cartwright and Bernd Sturmfels

The number of eigenvalues of a tensor

In: Linear algebra and its applications, 438 (2013) 2, pp. 942-952

BibTex

 DOI: 10.1016/j.laa.2011.05.040 ArXiv: 1004.4953
inJournal
2013 Repository Open Access
Eduardo Cattani, Maria Angélica Cueto, Alicia Dickenstein, Sandra Di Rocco and Bernd Sturmfels

Mixed discriminants

In: Mathematische Zeitschrift, 274 (2013) 3-4, pp. 761-778

BibTex

 DOI: 10.1007/s00209-012-1095-8 ArXiv: 1112.1012
inJournal
2013 Repository Open Access
Alexander Engström, Patricia Hersh and Bernd Sturmfels

Toric cubes

In: Rendiconti del Circolo Matematico di Palermo, 62 (2013) 1, pp. 67-78

BibTex

 DOI: 10.1007/s12215-013-0115-9 ArXiv: 1202.4333
inJournal
2013 Repository Open Access
Madhusudan Manjunath and Bernd Sturmfels

Monomials, binomials and Riemann-Roch

In: Journal of algebraic combinatorics, 37 (2013) 4, pp. 737-756

BibTex

 DOI: 10.1007/s10801-012-0386-9 ArXiv: 1201.4357
inJournal
2013 Repository Open Access
Veniamin I. Morgenshtern, Erwin Riegler, Wei Yang, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels and Helmut Bölcskei

Capacity pre-log of noncoherent SIMO channels via Hironaka's theorem

In: IEEE transactions on information theory, 59 (2013) 7, pp. 4213-4229

BibTex

 DOI: 10.1109/TIT.2013.2251394 ArXiv: 1204.2775
inJournal
2013 Repository Open Access
Giorgio Ottaviani and Bernd Sturmfels

Matrices with eigenvectors in a given subspace

In: Proceedings of the American Mathematical Society, 141 (2013) 4, pp. 1219-1232

BibTex

 DOI: 10.1090/S0002-9939-2012-11404-2 ArXiv: 1012.1016
inJournal
2013 Repository Open Access
Qingchun Ren, Steven V. Sam, Gus Schrader and Bernd Sturmfels

The universal Kummer threefold

In: Experimental mathematics, 22 (2013) 3, pp. 327-362

BibTex

 DOI: 10.1080/10586458.2013.816206 ArXiv: 1208.1229
inJournal
2013 Repository Open Access
Raman Sanyal, Bernd Sturmfels and Cynthia Vinzant

The entropic discriminant

In: Advances in mathematics, 244 (2013), pp. 678-707

BibTex

 DOI: 10.1016/j.aim.2013.05.019 ArXiv: 1108.2925
inJournal
2013 Repository Open Access
Bernd Sturmfels and Piotr Zwiernik

Binary cumulant varieties

In: Annals of combinatorics, 17 (2013) 1, pp. 229-250

BibTex

 DOI: 10.1007/s00026-012-0174-1 ArXiv: 1103.0153
inJournal
2013 Repository Open Access
Bernd Sturmfels and Ngoc Mai Tran

Combinatorial types of tropical eigenvectors

In: The bulletin of the London Mathematical Society, 45 (2013) 1, pp. 27-36

BibTex

 DOI: 10.1112/blms/bds058 ArXiv: 1105.5504
inJournal
2012 Repository Open Access
Grigoriy Blekherman, Jonathan Hauenstein, John Christian Ottem, Kristian Ranestad and Bernd Sturmfels

Algebraic boundaries of Hilbert's SOS cones

In: Compositio mathematica, 148 (2012) 6, pp. 1717-1735

BibTex

 DOI: 10.1112/S0010437X12000437 ArXiv: 1107.1846
inJournal
2012 Repository Open Access
Jesús A. De Loera, Bernd Sturmfels and Cynthia Vinzant

The central curve in linear programming

In: Foundations of computational mathematics, 12 (2012) 4, pp. 509-540

BibTex

 DOI: 10.1007/s10208-012-9127-7 ArXiv: 1012.3978
inJournal
2012 Repository Open Access
Ismail Onur Filiz, Xin Guo, Jason Morton and Bernd Sturmfels

Graphical models for correlated defaults

In: Mathematical finance : an international journal of mathematics, statistics and financial economics, 22 (2012) 4, pp. 621-644

BibTex

 DOI: 10.1111/j.1467-9965.2011.00499.x ArXiv: 0809.1393
inJournal
2012 Repository Open Access
Kristian Ranestad and Bernd Sturmfels

On the convex hull of a space curve

In: Advances in geometry, 12 (2012) 1, pp. 157-178

BibTex

 DOI: 10.1515/advgeom.2011.021 ArXiv: 0912.2986
inJournal
2012 Repository Open Access
Bernd Sturmfels and Volkmar Welker

Commutative algebra of statistical ranking

In: Journal of algebra, 361 (2012), pp. 264-286

BibTex

 DOI: 10.1016/j.jalgebra.2012.03.028 ArXiv: 1101.1597
inJournal
2012 Journal Open Access
Bernd Sturmfels

Geometry of higher-order Markov chains

In: Journal of algebraic statistics, 3 (2012) 1, pp. 1-10

BibTex

 DOI: 10.18409/jas.v3i1.13 ArXiv: 1207.1899
inJournal
2011 Repository Open Access
Sarah B. Brodsky and Bernd Sturmfels

Tropical quadrics through three points

In: Linear algebra and its applications, 435 (2011) 7, pp. 1778-1785

BibTex

 DOI: 10.1016/j.laa.2010.05.004 ArXiv: 1002.0603
inJournal
2011 Repository Open Access
Dustin Cartwright, Mathias Häbich, Bernd Sturmfels and Annette Werner

Mustafin varieties

In: Selecta mathematica, 17 (2011) 4, pp. 757-793

BibTex

 DOI: 10.1007/s00029-011-0075-x ArXiv: 1002.1418
inJournal
2011 Repository Open Access
Daniel Plaumann, Bernd Sturmfels and Cynthia Vinzant

Quartic curves and their bitangents

In: Journal of symbolic computation, 46 (2011) 6, pp. 712-733

BibTex

 DOI: 10.1016/j.jsc.2011.01.007 ArXiv: 1008.4104
inJournal
2011 Repository Open Access
Raman Sanyal, Frank Sottile and Bernd Sturmfels

Orbitopes

In: Mathematika : a journal of pure and applied mathematics, 57 (2011) 2, pp. 275-314

BibTex

 DOI: 10.1112/S002557931100132X ArXiv: 0911.5436
inJournal
2010 Repository Open Access
Dustin Cartwright and Bernd Sturmfels

The Hilbert scheme of the diagonal in a product of projective spaces

In: International mathematics research notices, 2010 (2010) 9, pp. 1741-1771

BibTex

 DOI: 10.1093/imrn/rnp201 ArXiv: 0901.0212
inJournal
2010 Repository Open Access
Steven N. Evans, Bernd Sturmfels and Caroline Uhler

Commuting birth-and-death processes

In: The annals of applied probability, 20 (2010) 1, pp. 238-266

BibTex

 DOI: 10.1214/09-AAP615 ArXiv: 0812.2724
inJournal
2010 Repository Open Access
Jiawang Nie, Kristian Ranestad and Bernd Sturmfels

The algebraic degree of semidefinite programming

In: Mathematical programming, 122 (2010) 2, pp. 379-405

BibTex

 DOI: 10.1007/s10107-008-0253-6 ArXiv: math/0611562
inJournal
2010 Repository Open Access
Philipp Rostalski and Bernd Sturmfels

Dualities in convex algebraic geometry

In: Rendiconti di matematica e delle sue applicazioni, 30 (2010) 3-4, pp. 285-327

BibTex

 ArXiv: 1006.4894 Link: www1.mat.uniroma1.it
inJournal
2010 Journal Open Access
Anne Shiu and Bernd Sturmfels

Siphons in chemical reaction networks

In: Bulletin of mathematical biology, 72 (2010) 6, pp. 1448-1463

BibTex

 DOI: 10.1007/s11538-010-9502-y ArXiv: 0904.4529
inJournal
2010 Repository Open Access
Bernd Sturmfels and Mauricio Velasco

Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties

In: Journal of commutative algebra, 2 (2010) 2, pp. 223-244

BibTex

 DOI: 10.1216/JCA-2010-2-2-223 ArXiv: 0906.5096
inJournal
2010 Repository Open Access
Bernd Sturmfels and Caroline Uhler

Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry

In: Annals of the institute of statistical mathematics, 62 (2010) 4, pp. 603-638

BibTex

 DOI: 10.1007/s10463-010-0295-4 ArXiv: 0906.3529
inJournal
2010 Repository Open Access
Bernd Sturmfels and Zhiqiang Xu

Sagbi bases of Cox-Nagata rings

In: Journal of the European Mathematical Society, 12 (2010) 2, pp. 429-459

BibTex

 DOI: 10.4171/JEMS/204 ArXiv: 0803.0892
inJournal
2009 Repository Open Access
Dustin A. Cartwright, Siobhan M. Brady, David A. Orlando, Bernd Sturmfels and Philip N. Benfey

Reconstructing spatiotemporal gene expression data from partial observations

In: Bioinformatics, 25 (2009) 19, pp. 2581-2587

BibTex

 DOI: 10.1093/bioinformatics/btp437 ArXiv: 0903.4027
inJournal
2009 Repository Open Access
Gheorghe Craciun, Alicia Dickenstein, Anne Shiu and Bernd Sturmfels

Toric dynamical systems

In: Journal of symbolic computation, 44 (2009) 11, pp. 1551-1565

BibTex

 DOI: 10.1016/j.jsc.2008.08.006 ArXiv: 0708.3431
inJournal
2009 Repository Open Access
Pierre Dueck, Serkan Hoşten and Bernd Sturmfels

Normal toric ideals of low codimension

In: Journal of pure and applied algebra, 213 (2009) 8, pp. 1636-1641

BibTex

 DOI: 10.1016/j.jpaa.2008.11.045 ArXiv: 0801.3826
inJournal
2009
Peter Gritzmann, Bernd Sturmfels and Günter M. Ziegler

Guest editors' foreword : [special issue dedicated to the memory of Victor Klee]

In: Discrete and computational geometry, 42 (2009) 2, pp. 131-131

BibTex

 DOI: 10.1007/s00454-009-9191-1
inJournal
2009 Journal Open Access
Sven Herrmann, Anders Jensen, Michael Joswig and Bernd Sturmfels

How to draw tropical planes

In: The electronic journal of combinatorics, 16 (2009) 2, R6

BibTex

 DOI: 10.37236/72 ArXiv: 0808.2383
inJournal
2009 Repository Open Access
Reinhard Laubenbacher and Bernd Sturmfels

Computer algebra in systems biology

In: The American mathematical monthly, 116 (2009) 10, pp. 882-891

BibTex

 DOI: 10.4169/000298909X477005 ArXiv: 0712.4248
inJournal
2009 Repository Open Access
Reinhard Laubenbacher and Bernd Sturmfels

Computeralgebra in der Systembiologie

In: Informatik-Spektrum, 32 (2009) 1, pp. 27-32

BibTex

 DOI: 10.1007/s00287-008-0307-4 Link: www.researchgate.net
inJournal
2009 Journal Open Access
Shaowei Lin, Bernd Sturmfels and Zhiqiang Xu

Marginal likelihood integrals for mixtures of independence models

In: Journal of machine learning research, 10 (2009), pp. 1611-1631

BibTex

 ArXiv: 0805.3602 Link: www.jmlr.org
inJournal
2009 Repository Open Access
Shaowei Lin and Bernd Sturmfels

Polynomial relations among principal minors of a 4 x 4-matrix

In: Journal of algebra, 322 (2009) 11, pp. 4121-4131

BibTex

 DOI: 10.1016/j.jalgebra.2009.06.026 ArXiv: 0812.0601
inJournal
2009 Repository Open Access
Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels and Oliver Wienand

Convex rank tests and semigraphoids

In: SIAM journal on discrete mathematics, 23 (2009) 3, pp. 1117-1134

BibTex

 DOI: 10.1137/080715822 ArXiv: math/0702564
inJournal
2009 Repository Open Access
Jiawang Nie and Bernd Sturmfels

Matrix cubes parameterized by eigenvalues

In: SIAM journal on matrix analysis and applications, 31 (2009) 2, pp. 755-766

BibTex

 DOI: 10.1137/080722606 ArXiv: 0804.4462
inJournal
2009 Repository Open Access
David Speyer and Bernd Sturmfels

Tropical mathematics

In: Mathematics magazine, 82 (2009) 3, pp. 163-173

BibTex

 ArXiv: math/0408099 Link: www.jstor.org
inJournal
2008 Repository Open Access
Tristram Bogart, Anders Jensen, David Speyer, Bernd Sturmfels and Rekha R. Thomas

Computing tropical varieties

In: Topologica, 1 (2008) 1, P 007

BibTex

 DOI: 10.3731/topologica.1.007 ArXiv: math/0507563
inJournal
2008 Journal Open Access
Mary-Lee Dequéant, Sebastian Ahnert, Herbert Edelsbrunner, Thomas M. A. Fink, Earl F. Glynn, Gaye Hattem, Andrzej Kudlicki, Yuriy Mileyko, Jason Morton, Arcady R. Mushegian, Lior Pachter, Maga Rowicka, Anne Shiu, Bernd Sturmfels and Olivier Pourquié

Comparison of pattern detection methods in microarray time series of the segmentation clock

In: PLOS ONE, 3 (2008) 8, e2856

BibTex

 DOI: 10.1371/journal.pone.0002856
inJournal
2008 Journal Open Access
Peter Gritzmann and Bernd Sturmfels

Victor L. Klee 1925-2007

In: Notices of the American Mathematical Society, 55 (2008) 4, pp. 467-473

BibTex

 Link: www.ams.org
inJournal
2008 Repository Open Access
Raymond Hemmecke, Jason Morton, Anne Shiu, Bernd Sturmfels and Oliver Wienand

Three counter-examples on semi-graphoids

In: Combinatorics, probability and computing, 17 (2008) 02, pp. 239-257

BibTex

 DOI: 10.1017/S0963548307008838 ArXiv: math/0610451
inJournal
2008 Repository Open Access
Peter Huggins, Bernd Sturmfels, Josephine Yu and Debbie S. Yuster

The hyperdeterminant and triangulations of the 4-cube

In: Mathematics of computation, 77 (2008) 263, pp. 1653-1679

BibTex

 ArXiv: math/0602149 Link: www.jstor.org
inJournal
2008 Repository Open Access
Bernd Sturmfels and Jenia Tevelev

Elimination theory for tropical varieties

In: Mathematical research letters, 15 (2008) 3, pp. 543-562

BibTex

 DOI: 10.4310/MRL.2008.v15.n3.a14 ArXiv: 0704.3471
inJournal
2008 Repository Open Access
Bernd Sturmfels and Seth Sullivant

Toric geometry of cuts and splits

In: The Michigan mathematical journal, 57 (2008), pp. 689-709

BibTex

 DOI: 10.1307/mmj/1220879432 ArXiv: math/0606683
inJournal
2007 Journal Open Access
Niko Beerenwinkel, Lior Pachter, Bernd Sturmfels, Santiago F. Elena and Richard E. Lenski

Analysis of epistatic interactions and fitness landscapes using a new geometric approach

In: BMC evolutionary biology, 7 (2007), p. 60

BibTex

 DOI: 10.1186/1471-2148-7-60
inJournal
2007 Repository Open Access
Niko Beerenwinkel, Nicholas Eriksson and Bernd Sturmfels

Conjunctive Bayesian networks

In: Bernoulli, 13 (2007) 4, pp. 893-909

BibTex

 DOI: 10.3150/07-BEJ6133 ArXiv: math/0608417
inJournal
2007 Repository Open Access
Niko Beerenwinkel, Lior Pachter and Bernd Sturmfels

Epistasis and shapes of fitness landscapes

In: Statistica Sinica, 17 (2007) 4, pp. 1317-1342

BibTex

 ArXiv: q-bio/0603034 Link: www.jstor.org
inJournal
2007 Repository Open Access
Tristram Bogart, Anders Jensen, David Speyer, Bernd Sturmfels and Rekha R. Thomas

Computing tropical varieties

In: Journal of symbolic computation, 42 (2007) 1-2, pp. 54-73

BibTex

 DOI: 10.1016/j.jsc.2006.02.004 ArXiv: math/0507563
inJournal
2007 Repository Open Access
Alicia Dickenstein, Eva Maria Feichtner and Bernd Sturmfels

Tropical discriminants

In: Journal of the American Mathematical Society, 20 (2007) 4, pp. 1111-1133

BibTex

 DOI: 10.1090/S0894-0347-07-00562-0 ArXiv: math/0510126
inJournal
2007 Repository Open Access
Mathias Drton, Bernd Sturmfels and Seth Sullivant

Algebraic factor analysis : tetrads, pentads and beyond

In: Probability theory and related fields, 138 (2007) 3-4, pp. 463-493

BibTex

 DOI: 10.1007/s00440-006-0033-2 ArXiv: math/0509390
inJournal
2007 Repository Open Access
Olga Holtz and Bernd Sturmfels

Hyperdeterminantal relations among symmetric principal minors

In: Journal of algebra, 316 (2007) 2, pp. 634-648

BibTex

 DOI: 10.1016/j.jalgebra.2007.01.039 ArXiv: math/0604374
inJournal
2007 Repository Open Access
Serkan Hoşten and Bernd Sturmfels

Computing the integer programming gap

In: Combinatorica, 27 (2007) 3, pp. 367-382

BibTex

 DOI: 10.1007/s00493-007-2057-3 ArXiv: math/0301266
inJournal
2007 Repository Open Access
Peter Huggins, Lior Pachter and Bernd Sturmfels

Toward the human genotope

In: Bulletin of mathematical biology, 69 (2007) 8, pp. 2723-2735

BibTex

 DOI: 10.1007/s11538-007-9244-7 ArXiv: q-bio/0611032
inJournal
2007 Repository Open Access
Michael Joswig, Bernd Sturmfels and Josephine Yu

Affine buildings and tropical convexity

In: Albanian journal of mathematics, 1 (2007) 4, pp. 187-211

BibTex

 ArXiv: 0706.1918
inJournal
2007 Repository Open Access
Jason Morton, Lior Pachter, Anne Shiu and Bernd Sturmfels

The cyclohedron test for finding periodic genes in time course expression studies

In: Statistical applications in genetics and molecular biology, 6 (2007) 1, p. 21

BibTex

 DOI: 10.2202/1544-6115.1286 ArXiv: q-bio/0702049
inJournal
2007 Repository Open Access
Lior Pachter and Bernd Sturmfels

The mathematics of phylogenomics

In: SIAM review, 49 (2007) 1, pp. 3-31

BibTex

 DOI: 10.1137/050632634 ArXiv: math/0409132
inJournal
2007 Repository Open Access
Bernd Sturmfels, Jenia Tevelev and Josephine Yu

The Newton polytope of the implicit equation

In: Moscow mathematical journal, 7 (2007) 2, pp. 327-346

BibTex

 ArXiv: math/0607368 Link: www.ams.org
inJournal
2006 Repository Open Access
Niko Beerenwinkel, Nicholas Eriksson and Bernd Sturmfels