VARIOGEO
The Geometric Calculus of Variations and its Applications
(ERC Advanced Investigator Grant)

Head:
Jürgen Jost (Email)

Phone (Secretary):
+49 (0) 341 - 9959 - 552

Coordinator:
Jürgen Tolksdorf (Email)

Phone:
+49 (0) 341 - 9959 - 856

Fax:
+49 (0) 341 - 9959 - 555

Address:
Inselstr. 22
04103 Leipzig

Publications

Ay, Nihat ; Jost, Jürgen ; , Hông Vân and Lorenz J. Schwachhöfer: Information geometry
Cham : Springer, 2017. - XI, 407 p.
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A series of modern surveys in mathematics ; 64)
ISBN 978-3-319-56477-7 ISBN 978-3-319-56478-4
DOI: 10.1007/978-3-319-56478-4

Hofrichter, Julian ; Jost, Jürgen and Tat Dat Tran: Information geometry and population genetics : the mathematical structure of the Wright-Fisher model
Cham : Springer, 2017. - XIV, 322 p.
(Understanding complex systems)
ISBN 978-3-319-52044-5 ISBN 978-3-319-52045-2
DOI: 10.1007/978-3-319-52045-2

Hua, Bobo ; Liu, Shiping and Chao Xia: Liouville theorems for f-harmonic maps into Hadamard spaces
In: Pacific journal of mathematics, 290 (2017) 2, p. 381-402
MIS-Preprint: 23/2014 DOI: 10.2140/pjm.2017.290.381 ARXIV: http://arxiv.org/abs/1305.0485

Ji, Lizhen and Jürgen Jost: Universal moduli spaces of Riemann surfaces
In: Journal of geometry and physics, 114 (2017), p. 124-137
DOI: 10.1016/j.geomphys.2016.11.004 ARXIV: https://arxiv.org/abs/1611.08732

Jost, Jürgen: Object oriented models vs. data analysis - is this the right alternative?
In: Mathematics as a tool : tracing new roles of mathematics in the sciences / JohannesLenhard... (eds.)
Berlin : Springer, 2017. - P. 253-286
(Boston studies in the philosophy and history of science ; 327)
MIS-Preprint: 68/2015 DOI: 10.1007/978-3-319-54469-4_14 ARXIV: http://arxiv.org/abs/1510.07172

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: A global weak solution of the Dirac-harmonic map flow
In: Annales de l'Institut Henri Poincaré / C, Vol. not yet known, pp. not yet known
MIS-Preprint: 1/2016 DOI: 10.1016/j.anihpc.2017.01.002

Blatt, Simon ; Reiter, Philipp and Armin Schikorra: Harmonic analysis meets critical knots : critical points of the Möbius energy are smooth
In: Transactions of the American Mathematical Society, 368 (2016) 9, p. 6391-6438
MIS-Preprint: 48/2012 DOI: 10.1090/tran/6603 ARXIV: http://arxiv.org/abs/1202.5426

Ding, Qi ; Jost, Jürgen and Yuan-Long Xin: Minimal graphic functions on manifolds of nonnegative Ricci curvature
In: Communications on pure and applied mathematics, 69 (2016) 2, p. 323-371
MIS-Preprint: 27/2014 DOI: 10.1002/cpa.21566 ARXIV: http://arxiv.org/abs/1310.2048

Ding, Qi ; Jost, Jürgen and Yuan-Long Xin: Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature
In: American journal of mathematics, 138 (2016) 2, p. 287-327
MIS-Preprint: 26/2014 DOI: 10.1353/ajm.2016.0009 ARXIV: http://arxiv.org/abs/1308.4963

Finster, Felix ; Kleiner, Johannes ; Röken, Christian and Jürgen Tolksdorf (eds.): Quantum mathematical physics : a bridge between mathematics and physics
Basel : Birkhäuser, 2016. - XIV, 518 p.
ISBN 978-3-319-26900-9 ISBN 978-3-319-26902-3
DOI: 10.1007/978-3-319-26902-3

Gu, Jiao ; Jost, Jürgen ; Liu, Shiping and Peter F. Stadler: Spectral classes of regular, random, and empirical graphs
In: Linear algebra and its applications, 489 (2016), p. 30-49
DOI: 10.1016/j.laa.2015.08.038 ARXIV: http://arxiv.org/abs/1406.6454

Hofrichter, Julian ; Tran, Tat Dat and Jürgen Jost: The uniqueness of hierarchically extended backward solutions of the Wright-Fisher model
In: Communications in partial differential equations, 41 (2016) 3, p. 447-483
MIS-Preprint: 64/2014 DOI: 10.1080/03605302.2015.1116558 ARXIV: http://arxiv.org/abs/1407.3067

Hofrichter, Julian ; Tran, Tat Dat and Jürgen Jost: A hierarchical extension scheme for solutions of the Wright-Fisher model
In: Communications in mathematical sciences, 14 (2016) 4, p. 1093-1110
MIS-Preprint: 61/2014 DOI: 10.4310/CMS.2016.v14.n4.a11 ARXIV: http://arxiv.org/abs/1406.5152

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: The qualitative behavior at the free boundary for approximate harmonic maps from surfaces
MIS-Preprint: 26/2016

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The geometry of Grassmannian manifolds and Bernstein-type theorems for higher codimension
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 16 (2016) 1, p. 1-39
DOI: 10.2422/2036-2145.201311_001 ARXIV: http://arxiv.org/abs/1109.6394

Keßler, Enno and Jürgen Tolksdorf: The functional of super Riemann surfaces : a 'semi-classical' survey ; in honor of Prof. E. Zeidler's 75th birthday
In: Vietnam journal of mathematics, 44 (2016) 1, p. 215-229
MIS-Preprint: 83/2015 DOI: 10.1007/s10013-016-0183-1 ARXIV: http://arxiv.org/abs/1511.05092

Liu, Qing ; Schikorra, Armin and Xiaodan Zhou: A game-theoretic proof of convexity preserving properties for motion by curvature
In: Indiana University mathematics journal, 65 (2016) 1, p. 171-197
DOI: 10.1512/iumj.2016.65.5740

Maalaoui, Ali ; Martinazzi, Luca and Armin Schikorra: Blow-up behavior of a fractional Adams-Moser-Trudinger-type inequality in odd dimension
In: Communications in partial differential equations, 41 (2016) 10, p. 1593-1618
DOI: 10.1080/03605302.2016.1222544 ARXIV: https://arxiv.org/abs/1504.00254

Sharp, Benjamin and Miaomiao Zhu: Regularity at the free boundary for Dirac-harmonic maps from surfaces
In: Calculus of variations and partial differential equations, 55 (2016) 2, 27
DOI: 10.1007/s00526-016-0960-4 ARXIV: http://arxiv.org/abs/1306.4260

Tran, Tat Dat ; Hofrichter, Julian and Jürgen Jost: A general solution of the Wright-Fisher model of random genetic drift
In: Differential equations and dynamical systems, Vol. not yet known, pp. not yet known
MIS-Preprint: 40/2014 DOI: 10.1007/s12591-016-0289-7 ARXIV: http://arxiv.org/abs/1207.6623

Zhu, Miaomiao: Quantization for a nonlinear Dirac equation
In: Proceedings of the American Mathematical Society, 144 (2016) 10, p. 4533-4544
MIS-Preprint: 31/2008 DOI: 10.1090/proc/13041

Ay, Nihat ; Jost, Jürgen ; , Hông Vân and Lorenz J. Schwachhöfer: Information geometry and sufficient statistics
In: Probability theory and related fields, 162 (2015) 1-2, p. 327-364
MIS-Preprint: 65/2012 DOI: 10.1007/s00440-014-0574-8 ARXIV: http://arxiv.org/abs/1207.6736

Bačák, Miroslav: Convergence of nonlinear semigroups under nonpositive curvature
In: Transactions of the American Mathematical Society, 367 (2015) 6, p. 3929-3953
MIS-Preprint: 17/2013 DOI: 10.1090/S0002-9947-2015-06087-5 ARXIV: http://arxiv.org/abs/1211.0414

Bačák, Miroslav ; Hua, Bobo ; Jost, Jürgen ; Kell, Martin and Armin Schikorra: A notion of nonpositive curvature for general metric spaces
In: Differential geometry and its applications, 38 (2015), p. 22-32
MIS-Preprint: 57/2014 DOI: 10.1016/j.difgeo.2014.11.002 ARXIV: http://arxiv.org/abs/1404.0995

Bauer, Frank ; Keller, Matthias and Radoslaw K. Wojciechowski: Cheeger inequalities for unbounded graph Laplacians
In: Journal of the European Mathematical Society, 17 (2015) 2, p. 259-271
DOI: 10.4171/JEMS/503 ARXIV: http://arxiv.org/abs/1209.4911

Chen, Qun ; Jost, Jürgen ; Sun, Linlin and Miaomiao Zhu: Dirac-geodesics and their heat flows
In: Calculus of variations and partial differential equations, 54 (2015) 3, p. 2615-2635
MIS-Preprint: 30/2015 DOI: 10.1007/s00526-015-0877-3

Chen, Qun ; Jost, Jürgen ; Sun, Linlin and Miaomiao Zhu: Dirac-harmonic maps between Riemann surfaces
MIS-Preprint: 76/2015

Chen, Qun ; Jost, Jürgen and Guofang Wang: A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry
In: The journal of geometric analysis, 25 (2015) 4, p. 2407-2426
MIS-Preprint: 68/2014 DOI: 10.1007/s12220-014-9519-9

Gu, Jiao ; Hua, Bobo and Shiping Liu: Spectral distances on graphs
In: Discrete applied mathematics, 190-191 (2015), p. 56-74
MIS-Preprint: 31/2014 DOI: 10.1016/j.dam.2015.04.011 ARXIV: http://arxiv.org/abs/1402.6041

Hua, Bobo and Jürgen Jost: Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature II
In: Transactions of the American Mathematical Society, 367 (2015) 4, p. 2509-2526
DOI: 10.1090/S0002-9947-2014-06167-9 ARXIV: http://arxiv.org/abs/1112.6282

Hua, Bobo and Jürgen Jost: Polynomial growth harmonic functions on groups of polynomial volume growth
In: Mathematische Zeitschrift, 280 (2015) 1-2, p. 551-567
DOI: 10.1007/s00209-015-1436-5 ARXIV: http://arxiv.org/abs/1201.5238

Hua, Bobo ; Jost, Jürgen and Shiping Liu: Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature
In: Journal für die reine und angewandte Mathematik, 700 (2015), p. 1-36
MIS-Preprint: 44/2011 DOI: 10.1515/crelle-2013-0015 ARXIV: http://arxiv.org/abs/1107.2826

Jost, Jürgen ; Kell, Martin and Christian S. Rodrigues: Representation of Markov chains by random maps : existence and regularity conditions
In: Calculus of variations and partial differential equations, 54 (2015) 3, p. 2637-2655
MIS-Preprint: 49/2012 DOI: 10.1007/s00526-015-0878-2 ARXIV: http://arxiv.org/abs/1207.5003

Jost, Jürgen ; Liu, Lei and Miaomiao Zhu: Geometric analysis of the action functional of the nonlinear supersymmetric sigma model
MIS-Preprint: 77/2015

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: Curvature estimates for minimal submanifolds of higher codimension and small G-rank
In: Transactions of the American Mathematical Society, 367 (2015) 12, p. 8301-8323
DOI: 10.1090/tran/6782 ARXIV: http://arxiv.org/abs/1210.2031

Jost, Jürgen ; Yang, Yi-Hu and Kang Zuo: Harmonic maps and singularities of period mappings
In: Proceedings of the American Mathematical Society, 143 (2015) 8, p. 3351-3356
MIS-Preprint: 90/2014 DOI: 10.1090/proc/12566

Jost, Jürgen ; Zhou, Chunqin and Miaomiao Zhu: A local estimate for the super-Liouville equations on closed Riemann surfaces
In: Calculus of variations and partial differential equations, 53 (2015) 1/2, p. 247-264
MIS-Preprint: 46/2013 DOI: 10.1007/s00526-014-0747-4

Keßler, Enno: Super Riemann surfaces and the super conformal action functional

Krausshar, Rolf Sören and Jürgen Tolksdorf: Applications of hypercomplex automorphic forms in Yang-Mills gauge theories
In: Complex analysis and operator theory, 9 (2015) 2, p. 431-444
MIS-Preprint: 95/2013 DOI: 10.1007/s11785-014-0374-2 ARXIV: http://arxiv.org/abs/1310.0338

Lamb, Jeroen S. W. ; Rasmussen, Martin and Christian S. Rodrigues: Topological bifurcations of minimal invariant sets for set-valued dynamical systems
In: Proceedings of the American Mathematical Society, 143 (2015) 9, p. 3927-3937
MIS-Preprint: 26/2011 DOI: 10.1090/S0002-9939-2015-12544-0 ARXIV: http://arxiv.org/abs/1105.5018

Liu, Qing and Armin Schikorra: General existence of solutions to dynamic programming equations
In: Communications on pure and applied analysis, 14 (2015) 1, p. 167-184
MIS-Preprint: 84/2013 DOI: 10.3934/cpaa.2015.14.167 ARXIV: http://arxiv.org/abs/1307.1860

Pfante, Oliver and Nihat Ay: Operator-theoretic identification of closed sub-systems of dynamical systems
In: An interdisciplinary journal of discontinuity, nonlinearity, and complexity, 4 (2015) 1, p. 91-109
MIS-Preprint: 4/2015 DOI: 10.5890/DNC.2015.03.007

Qiu, Guohuan and Chao Xia: A generalization of Reilly's formula and its applications to a new Heintze-Karcher type inequality
In: International mathematics research notices, 2015 (2015) 17, p. 7608-7619
MIS-Preprint: 54/2014 DOI: 10.1093/imrn/rnu184 ARXIV: http://arxiv.org/abs/1405.4518

Rodrigues, Christian S. and Paulo R. C. Ruffino: A family of rotation numbers for discrete random dynamics on the circle
In: Stochastics and dynamics, 15 (2015) 3, 1550021
MIS-Preprint: 71/2013 DOI: 10.1142/S0219493715500215 ARXIV: http://arxiv.org/abs/1308.1349

Schikorra, Armin: Integro-differential harmonic maps into spheres
In: Communications in partial differential equations, 40 (2015) 3, p. 506-539
MIS-Preprint: 6/2014 DOI: 10.1080/03605302.2014.974059 ARXIV: http://arxiv.org/abs/1401.6854

Schikorra, Armin: Epsilon-regularity for systems involving non-local, antisymmetric operators
In: Calculus of variations and partial differential equations, 54 (2015) 4, p. 3531-3570
MIS-Preprint: 41/2012 DOI: 10.1007/s00526-015-0913-3 ARXIV: http://arxiv.org/abs/1205.2852

Schikorra, Armin: Lp-gradient harmonic maps into spheres and SO(N)
In: Differential and integral equations, 28 (2015) 3/4, p. 383-408
MIS-Preprint: 35/2014 ARXIV: http://arxiv.org/abs/1404.0913 LINK: http://projecteuclid.org/euclid.die/1423055234

Schikorra, Armin: A note on zero sets of fractional sobolev functions with negative power of integrability
In: Proceedings of the American Mathematical Society, 142 (2015), p. 1189-1197
MIS-Preprint: 82/2013 DOI: 10.1090/S0002-9939-2014-12372-0 ARXIV: http://de.arxiv.org/abs/1307.5236

Tolksdorf, Jürgen: The Einstein-Hilbert action with cosmological constant as a functional of generic form
In: Journal of mathematical physics, 56 (2015) 1, 012301
MIS-Preprint: 97/2013 DOI: 10.1063/1.4906239

Tran, Tat Dat ; Hofrichter, Julian and Jürgen Jost: The free energy method and the Wright-Fisher model with 2 alleles
In: Theory in biosciences, 134 (2015) 3-4, p. 83-92
MIS-Preprint: 28/2015 DOI: 10.1007/s12064-015-0218-2

Tran, Tat Dat ; Hofrichter, Julian and Jürgen Jost: The free energy method for the Fokker-Planck equation of the Wright-Fisher model
MIS-Preprint: 29/2015

Wu, Jie and Chao Xia: Hypersurfaces with constant curvature quotients in warped product manifolds
In: Pacific journal of mathematics, 274 (2015) 2, p. 355-371
DOI: 10.2140/pjm.2015.274.355 ARXIV: http://arxiv.org/abs/1312.3584

Bačák, Miroslav: Computing medians and means in Hadamard spaces
In: SIAM journal on optimization, 24 (2014) 3, p. 1542-1566
MIS-Preprint: 16/2013 DOI: 10.1137/140953393 ARXIV: http://arxiv.org/abs/1210.2145

Bačák, Miroslav: A new proof of the Lie-Trotter-Kato formula in Hadamard spaces
In: Communications in contemporary mathematics, 16 (2014) 6, 1350044
MIS-Preprint: 18/2013 DOI: 10.1142/S0219199713500442 ARXIV: http://arxiv.org/abs/1301.6496

Bačák, Miroslav and Simeon. Reich: The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
In: Journal of fixed point theory and applications, 16 (2014) 1-2, p. 189-202
MIS-Preprint: 55/2014 DOI: 10.1007/s11784-014-0202-3 ARXIV: http://arxiv.org/abs/1405.6637

Bauer, Frank ; Hua, Bobo and Jürgen Jost: The dual Cheeger constant and spectra of infinite graphs
In: Advances in mathematics, 251 (2014), p. 147-194
DOI: 10.1016/j.aim.2013.10.021 ARXIV: http://arxiv.org/abs/1207.3410

Benner, Philipp ; Bačák, Miroslav and Pierre-Yves Bourguignon: Point estimates in phylogenetic reconstructions
In: Bioinformatics, 30 (2014) 17, p. i534-i540
DOI: 10.1093/bioinformatics/btu461 ARXIV: http://de.arxiv.org/abs/1305.3692

Chen, Qun ; Jost, Jürgen and Hongbing Qiu: Omori-Yau maximum principles, \(V\)-harmonic maps and their geometric applications
In: Annals of global analysis and geometry, 46 (2014) 3, p. 259-279
MIS-Preprint: 67/2014 DOI: 10.1007/s10455-014-9422-4

Chen, Qun ; Jost, Jürgen and Linlin Sun: Gradient estimates and Liouville theorems for Dirac-harmonic maps
In: Journal of geometry and physics, 76 (2014), p. 66-78
MIS-Preprint: 66/2014 DOI: 10.1016/j.geomphys.2013.10.011

Chen, Qun ; Jost, Jürgen ; Sun, Linlin and Miaomiao Zhu: Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem
In: Journal of the European Mathematical Society, Vol. not yet known, pp. not yet known
MIS-Preprint: 79/2014

Da Lio, Francesca and Armin Schikorra: n/p-harmonic maps : regularity for the sphere case
In: Advances in calculus of variations, 7 (2014) 1, p. 1-26
MIS-Preprint: 43/2012 DOI: 10.1515/acv-2012-0107 ARXIV: http://arxiv.org/abs/1202.1151

Finster, Felix and Jürgen Tolksdorf: Perturbative description of the fermionic projector: normalization, causality and Furry's theorem
In: Journal of mathematical physics, 55 (2014) 5, 052301
MIS-Preprint: 7/2014 DOI: 10.1063/1.4874796 ARXIV: http://arxiv.org/abs/1401.4353

Hajlasz, Piotr and Armin Schikorra: Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces
In: Annales Academiae Scientiarum Fennicae / Mathematica, 39 (2014) 2, p. 593-604
MIS-Preprint: 86/2013 DOI: 10.5186/aasfm.2014.3932 ARXIV: http://arxiv.org/abs/1306.6502

Hajlasz, Piotr ; Schikorra, Armin and Jeremy T. Tyson: Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups
In: Geometric and functional analysis, 24 (2014) 1, p. 245-268
MIS-Preprint: 83/2013 DOI: 10.1007/s00039-014-0261-z ARXIV: http://arxiv.org/abs/1301.4978

Hofrichter, Julian: On the diffusion approximation of Wright-Fisher models with several Alleles and Loci and its geometry
Dissertation, Universität Leipzig, 2014
LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-150016

Hofrichter, Julian ; Tran, Tat Dat and Jürgen Jost: A hierarchical extension scheme for backward solutions of the Wright-Fisher model

Hua, Bobo ; Fei, Shao-Ming ; Jost, Jürgen and Xianqing Li-Jost: Schmidt-correlated states, weak Schmidt decomposition and generalized Bell-basis related to Hadamard matrices
In: Reports on mathematical physics, 74 (2014) 1, p. 89-103
MIS-Preprint: 80/2013 DOI: 10.1016/S0034-4877(14)60059-8 ARXIV: http://arxiv.org/abs/1308.1505

Hua, Bobo and Jürgen Jost: Lq harmonic functions on graphs
In: Israel journal of mathematics, 202 (2014) 1, p. 475-490
DOI: 10.1007/s11856-014-1089-9 ARXIV: http://arxiv.org/abs/1301.3403

Hua, Bobo and Matthias Keller: Harmonic functions of general graph Laplacians
In: Calculus of variations and partial differential equations, 51 (2014) 1-2, p. 343-362
DOI: 10.1007/s00526-013-0677-6 ARXIV: http://arxiv.org/abs/1303.7198

Hua, Bobo and Chao Xia: A note on local gradient estimate on Alexandrov spaces
In: Tohoku mathematical journal, 66 (2014) 2, p. 259-267
MIS-Preprint: 22/2014 DOI: 10.2748/tmj/1404911862 ARXIV: http://arxiv.org/abs/1301.4810 LINK: http://projecteuclid.org/download/pdf_1/euclid.tmj/1404911862

Jost, Jürgen ; Keßler, Enno and Jürgen Tolksdorf: Super Riemann surfaces, metrics, and gravitinos

Jost, Jürgen and Shiping Liu: Ollivier's Ricci curvature, local clustering and curvature dimension inequalities on graphs
In: Discrete and computational geometry, 51 (2014) 2, p. 300-322
MIS-Preprint: 21/2011 DOI: 10.1007/s00454-013-9558-1 ARXIV: http://arxiv.org/abs/1103.4037

Jost, Jürgen ; Wang, Guofang ; Zhou, Chunqin and Miaomiao Zhu: The boundary value problem for the Super-Liouville equation
In: Annales de l'Institut Henri Poincaré / C, 31 (2014) 4, p. 685-706
MIS-Preprint: 60/2011 DOI: 10.1016/j.anihpc.2013.06.002

Jost, Jürgen ; Zhou, Chunqin and Miaomiao Zhu: The qualitative boundary behavior of blow-up solutions of the super-Liouville equations
In: Journal de mathématiques pures et appliquées, 101 (2014) 5, p. 689-715
MIS-Preprint: 63/2013 DOI: 10.1016/j.matpur.2013.10.006

Pfante, Oliver ; Bertschinger, Nils ; Olbrich, Eckehard ; Ay, Nihat and Jürgen Jost: Comparison between different methods of level identification
In: Advances in complex systems, 17 (2014) 2, 1450007
DOI: 10.1142/S0219525914500076 LINK: http://www.santafe.edu/media/workingpapers/13-11-035.pdf

Pfante, Oliver ; Olbrich, Eckehard ; Bertschinger, Nils ; Ay, Nihat and Jürgen Jost: Closure measures for coarse-graining of the tent map
In: Chaos, 24 (2014), 013136
MIS-Preprint: 108/2013 DOI: 10.1063/1.4869075

Rodrigues, Christian S. ; Chechkin, Aleksei V. ; De Moura, Alessandro P. S. ; Grebogi, Celso and Rainer Klages: Diffusion in randomly perturbed dissipative dynamics
In: epl, 108 (2014) 4, 40002
MIS-Preprint: 80/2014 DOI: 10.1209/0295-5075/108/40002 ARXIV: http://arxiv.org/abs/1411.3566

Tolksdorf, Jürgen: Dynamical torsion in view of a distinguished class of Dirac operators
In: Journal of mathematical physics, Vol. not yet known, pp. not yet known
MIS-Preprint: 17/2014 ARXIV: http://arxiv.org/abs/1407.3730

Tran, Tat Dat ; Hofrichter, Julian and Jürgen Jost: The evolution of moment generating functions for the Wright-Fisher model of population genetics
In: Mathematical biosciences, 256 (2014), p. 10-17
MIS-Preprint: 41/2014 DOI: 10.1016/j.mbs.2014.07.007 ARXIV: http://arxiv.org/abs/1401.5219

Wang, Guofang and Chao Xia: Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
In: Advances in mathematics, 259 (2014), p. 532-556
MIS-Preprint: 21/2014 DOI: 10.1016/j.aim.2014.01.024 ARXIV: http://arxiv.org/abs/1304.1674

Wu, Jie and Chao Xia: On rigidity of hypersurfaces with constant curvature functions in warped product manifolds
In: Annals of global analysis and geometry, 46 (2014) 1, p. 1-22
MIS-Preprint: 20/2014 DOI: 10.1007/s10455-013-9405-x ARXIV: http://arxiv.org/abs/1312.5152

Xia, Chao: Local gradient estimate for harmonic functions on Finsler manifolds
In: Calculus of variations and partial differential equations, 51 (2014) 3/4, p. 849-865
MIS-Preprint: 18/2014 DOI: 10.1007/s00526-013-0697-2 ARXIV: http://arxiv-web3.library.cornell.edu/abs/1308.3609

Bauer, Frank ; Hua, Bobo ; Jost, Jürgen and Shiping Liu: Generalized Ricci curvature and the geometry of graphs
In: Actes des rencontres du CIRM, 3 (2013) 1, p. 69-78
MIS-Preprint: 26/2015 DOI: 10.5802/acirm.56

Bauer, Frank ; Hua, Bobo and Matthias Keller: On the \({l}^{p}\) spectrum of Laplacians on graphs
In: Advances in applied mathematics, 248 (2013), p. 717-735
DOI: 10.1016/j.aim.2013.05.029 ARXIV: http://arxiv.org/abs/1211.6536

Bauer, Frank ; Jost, Jürgen and Anirban Banerjee: Eigenvalues of the normalized graph Laplacian and the architecture of directed networks

Benner, Philipp and Miroslav Bačák: Computing the posterior expectation of phylogenetic trees

Bertschinger, Nils ; Wolpert, David ; Olbrich, Eckehard and Jürgen Jost: Value of information in noncooperative games

Chen, Qun ; Jost, Jürgen ; Wang, Guofang and Miaomiao Zhu: The boundary value problem for Dirac-harmonic maps
In: Journal of the European Mathematical Society, 15 (2013) 3, p. 997-1031
MIS-Preprint: 69/2011 DOI: 10.4171/JEMS/384

Horak, Danijela and Jürgen Jost: Spectra of combinatorial Laplace operators on simplicial complexes
In: Advances in mathematics, 244 (2013), p. 303-336
DOI: 10.1016/j.aim.2013.05.007 ARXIV: http://arxiv.org/abs/1105.2712

Horak, Danijela and Jürgen Jost: Interlacing inequalities for eigenvalues of discrete Laplace operators
In: Annals of global analysis and geometry, 43 (2013) 2, p. 177-207
DOI: 10.1007/s10455-012-9341-1 ARXIV: http://arxiv.org/abs/1111.1836

Hua, Bobo ; Jost, Jürgen and Xianqing Li-Jost: Polynomial growth harmonic functions on finitely generated abelian groups
In: Annals of global analysis and geometry, 44 (2013) 4, p. 417-432
DOI: 10.1007/s10455-013-9374-0 ARXIV: http://arxiv.org/abs/1112.6284

Hua, Bobo ; Kell, Martin and Chao Xia: Harmonic functions on metric measure spaces

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The Gauss map of entire maps of higher codimension and the Bernstein type theorems
In: Calculus of variations and partial differential equations, 47 (2013) 3/4, p. 711-737
DOI: 10.1007/s00526-012-0533-0 ARXIV: http://arxiv.org/abs/1009.3901

Liu, Qing and Armin Schikorra: A Game-Tree approach to discrete infinity Laplacian with running costs

Rodrigues, Christian S. ; De Moura, Alessandro P. S. and Celso Grebogi: Effects of bounded random perturbations on discrete dynamical systems
In: Bounded noises in physics, biology, and engineering / AlbertoD'Onofrio (ed.)
New York : Springer, 2013. - P. 151-168
(Modeling and simulation in science, engineering and technology)
MIS-Preprint: 35/2012 DOI: 10.1007/978-1-4614-7385-5_10

Tran, Tat Dat ; Hofrichter, Julian and Jürgen Jost: An introduction to the mathematical structure of the Wright-Fisher model of population genetics
In: Theory in biosciences, 132 (2013) 2, p. 73-82
MIS-Preprint: 39/2014 DOI: 10.1007/s12064-012-0170-3

Avdiyenko, Liliya ; Bertschinger, Nils and Jürgen Jost: Adaptive sequential feature selection for pattern classification
In: Proceedings of the 4th International Conference on Neural Computation Theory and Applications (NCTA 2012), part of the International Joint Conference of Computational Intelligence (IJCCI), Barcelona, Spain, October 5-7, 2012
[S.l.] : INSTICC, 2012. - P. 474-482
MIS-Preprint: 42/2012

Avdiyenko, Liliya ; Bertschinger, Nils and Jürgen Jost: Testing entropy-based search strategies for a visual classification task
In: BMC neuroscience, 13 (2012) Supl. 1, P109
DOI: 10.1186/1471-2202-13-S1-P109

Bauer, Frank ; Jost, Jürgen and Shiping Liu: Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator
In: Mathematical research letters, 19 (2012) 6, p. 1185-1205
MIS-Preprint: 25/2011 DOI: 10.4310/MRL.2012.v19.n6.a2 ARXIV: http://arxiv.org/abs/1105.3803

Bauer, Frank and Joseph T. Lizier: Identifying influential spreaders and efficiently estimating infection numbers in epidemic models : a walk counting approach
In: epl, 99 (2012) 6, 68007
MIS-Preprint: 1/2012 DOI: 10.1209/0295-5075/99/68007 ARXIV: http://arxiv.org/abs/1203.0502

Chen, Qun ; Jost, Jürgen and Hongbing Qiu: Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds
In: Annals of global analysis and geometry, 42 (2012) 4, p. 565-584
MIS-Preprint: 75/2014 DOI: 10.1007/s10455-012-9327-z

Chen, Qun ; Jost, Jürgen and Guofang Wang: The maximum principle and the Dirichlet problem for Dirac-harmonic maps
In: Calculus of variations and partial differential equations, 47 (2012) 1/2, p. 87-116
MIS-Preprint: 18/2012 DOI: 10.1007/s00526-012-0512-5

Finster, Felix and Jürgen Tolksdorf: Bosonic loop diagrams as perturbative solutions of the classical field equations in \( \phi^4\)-theory
In: Journal of mathematical physics, 53 (2012) 5, 052305
MIS-Preprint: 12/2012 DOI: 10.1063/1.4718333 ARXIV: http://arxiv.org/abs/1201.5497

Jost, Jürgen ; Ma, Xi-Nan and Q. Z. Ou: Curvature estimates in dimensions 2 and 3 for the level sets of p-harmonic functions in convex rings
In: Transactions of the American Mathematical Society, 364 (2012) 9, p. 4605-4627
DOI: 10.1090/S0002-9947-2012-05436-5

Jost, Jürgen ; Mo, Xiaohuan and Miaomiao Zhu: An example of Dirac-harmonic maps from a surface

Jost, Jürgen ; Xin, Yuan-Long and Ling Yang: The regularity of harmonic maps into spheres and applications to Bernstein problems
In: Journal of differential geometry, 90 (2012) 1, p. 131-176
MIS-Preprint: 78/2009 LINK: http://projecteuclid.org/euclid.jdg/1335209491

Liu, Shiping: Synthetic notions of curvature and applications in graph theory
Dissertation, Universität Leipzig, 2012
LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-102197

Tran, Tat Dat: Information geometry and the Wright-Fisher model of mathematical population genetics
Dissertation, Universität Leipzig, 2012
LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-90508

Ay, Nihat ; Olbrich, Eckehard ; Bertschinger, Nils and Jürgen Jost: A geometric approach to complexity
In: Chaos, 21 (2011) 3, 037103
MIS-Preprint: 53/2011 DOI: 10.1063/1.3638446

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