Preprint 84/2017

• Antonio Falcó, Wolfgang Hackbusch, and Anthony Nouy:
• On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces
• more information >>

Preprint 83/2017

• Areejit Samal, R.P. Sreejith, Jiao Gu, Shiping Liu, Emil Saucan, and Jürgen Jost:
• Comparative analysis of two discretizations of Ricci curvature for complex networks
• revised version: May 2018
• more information >>

Preprint 82/2017

• Jacinta Torres:
• On Sundaram's Full Bijection
• more information >>

Preprint 81/2017

• Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin, and Bernd Sturmfels:
• Real Space Sextics and their Tritangents
• more information >>

Preprint 80/2017

• Wolfgang Hackbusch:
• Computation of Best L^∞ Exponential Sums for 1∕x by Remez’ Algorithm
• more information >>

Preprint 79/2017

• Yang Qi, Mateusz Michałek, and Lek-Heng Lim:
• Complex tensors almost always have best low-rank approximations
• more information >>

Preprint 78/2017

• Kristin Shaw, Philipp Jell, and Johannes Rau:
• Lefschetz (1,1)-theorem in Tropical Geometry
• more information >>

Preprint 77/2017

• Tobias Fritz and Paolo Perrone:
• A Probability Monad as the Colimit of Spaces of Finite Samples
• revised version: March 2019
• more information >>

Preprint 76/2017

• Paul Breiding, Khazhgali Kozhasov, and Antonio Lerario:
• Random Spectrahedra
• more information >>

Preprint 75/2017

• Yue Ren, Johannes W. R. Martini, and Jacinta Torres:
• Decoupled molecules with binding polynomials of bidegree (n,2)
• more information >>

Preprint 74/2017

• Johannes Rauh, Pradeep Kumar Banerjee, Eckehard Olbrich, Jürgen Jost, Nils Bertschinger, and David Wolpert:
• Coarse-graining and the Blackwell Order
• more information >>

Preprint 73/2017

• Pradeep Kumar Banerjee, Johannes Rauh, and Guido Montúfar:
• Computing the Unique Information
• more information >>

Preprint 72/2017

• Johannes Rauh:
• Secret Sharing and Shared Information
• more information >>

Preprint 71/2017

• Jürgen Jost, Lei Liu, and Miaomiao Zhu:
• Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps
• revised version: June 2019
• more information >>

Preprint 70/2017

• Tobias Boege, Alessio D'Ali, Thomas Kahle, and Bernd Sturmfels:
• The Geometry of Gaussoids
• more information >>

Preprint 69/2017

• Paul Breiding and Nick Vannieuwenhoven:
• Convergence analysis of Riemannian Gauss–Newton methods and its connection with the geometric condition number
• more information >>

Preprint 68/2017

• Sara Kališnik Verovšek, Vitaliy Kurlin, and Davorin Lešnik:
• A Higher-Dimensional Homologically Persistent Skeleton
• more information >>

Preprint 67/2017

• Tim Seynnaeve:
• Plethysm and fast matrix multiplication
• revised version: November 2017
• more information >>

Preprint 66/2017

• Anthea Monod, Sara Kališnik Verovšek, Juan Ángel Patiño-Galindo, and Lorin Crawford:
• Tropical Sufficient Statistics for Persistent Homology
• more information >>

Preprint 65/2017

• Jürgen Jost, Enno Keßler, Jürgen Tolksdorf, Ruijun Wu, and Miaomiao Zhu:
• From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory. At the interface of theoretical physics, Riemannian geometry and nonlinear analysis
• more information >>

Preprint 64/2017

• Jürgen Jost, Ruijun Wu, and Miaomiao Zhu:
• Partial Regularity for a Nonlinear Sigma Model with Gravitino in Higher Dimensions
• more information >>

Preprint 63/2017

• Jürgen Jost, Chunqin Zhou, and Miaomiao Zhu:
• The super-Toda system and bubbling of spinors
• more information >>

Preprint 62/2017

• Ming Li, Shu-Qian Shen, Naihuan Jing, Shao-Ming Fei, and Xianqing Li-Jost:
• Tight upper bound for the maximal quantum value of the Svetlichny operators
• more information >>

Preprint 61/2017

• Bo Li, Shuhan Jiang, Shao-Ming Fei, and Xianqing Li-Jost:
• A note on the Bloch representation of absolutely maximally entangled states
• revised version: January 2018
• more information >>

Preprint 60/2017

• Wenchao Ma, Bin Chen, Ying Liu, Mengqi Wang, Xiangyu Ye, Fei Kong, Fazhan Shi, Shao-Ming Fei, and Jiangfeng Du:
• Experimental Demonstration of Uncertainty Relations for the Triple Components of Angular Momentum
• more information >>

Preprint 59/2017

• Bao-Zhi Sun, Shao-Ming Fei, and Zhi-Xi Wang:
• On Local Unitary Equivalence of Two and Three-qubit States
• more information >>

Preprint 58/2017

• Teng Ma, Ming-Jing Zhao, Hai-Jun Zhang, Shao-Ming Fei, and Gui-Lu Long:
• Accessible coherence and coherence distribution
• more information >>

Preprint 57/2017

• Xue-Na Zhu, Xianqing Li-Jost, and Shao-Ming Fei:
• Quantum Discord of Rank-2 Two-qubit States
• more information >>

Preprint 56/2017

• Ming Li, Hui-Hui Qin, Jing Wang, Shao-Ming Fei, and Chang-Pu Sun:
• Maximal violation of Bell inequalities under local filtering
• more information >>

Preprint 55/2017

• Yan-Ling Wang, Mao-Sheng Li, Shao-Ming Fei, and Zhu-Jun Zheng:
• The local distinguishability of any three generalized Bell states
• more information >>

Preprint 54/2017

• Hai-Jun Zhang, Bin Chen, Ming Li, Shao-Ming Fei, and Gui-Lu Long:
• Estimation on geometric measure of quantum coherence
• more information >>

Preprint 53/2017

• Yan-Ling Wang, Mao-Sheng Li, Shao-Ming Fei, and Zhu-Jun Zheng:
• Connecting UMEB in ℂ^d ⊗ ℂ^d with partial Hadamard matrices
• more information >>

Preprint 52/2017

• Tim Bastian Laux and Felix Otto:
• Brakke’s inequality for the thresholding scheme
• more information >>

Preprint 51/2017

• Melanie Weber, Johannes Stelzer, Emil Saucan, Alexander Naitsat, Gabriele Lohmann, and Jürgen Jost:
• Curvature-based Methods for Brain Network Analysis
• more information >>

Preprint 50/2017

• Kristin Shaw:
• Superforms and Tropical Cohomology
• more information >>

Preprint 49/2017

• Lucia Lopez de Medrano, Felipe Rincon, and Kristin Shaw:
• Chern-Schwartz-MacPherson cycles of matroids
• more information >>

Preprint 48/2017

• Mario Denis Kummer and Kristin Shaw:
• The separating semigroup of a real curve
• more information >>

Preprint 47/2017

• Venera Khoromskaia, Boris N. Khoromskij, and Felix Otto:
• A numerical primer in 2D stochastic homogenization: CLT scaling in the Representative Volume Element
• revised version: March 2018
• more information >>

Preprint 46/2017

• Paolo Aluffi and Corey Harris:
• The Euclidean distance degree of smooth complex projective varieties
• more information >>

Preprint 45/2017

• Paul Görlach, Evelyne Hubert, and Théo Papadopoulo:
• Rational invariants of ternary forms under the orthogonal group
• more information >>

Preprint 44/2017

• Renzo Cavalieri, Melody Chan, Martin Ulirsch, and Jonathan Wise:
• A moduli stack of tropical curves
• more information >>

Preprint 43/2017

• Christoph Hanselka and Rainer Sinn:
• Positive Semidefinite Univariate Matrix Polynomials
• more information >>

Preprint 42/2017

• Lynn Chua, Mario Denis Kummer, and Bernd Sturmfels:
• Schottky Algorithms: Classical meets Tropical
• more information >>

Preprint 41/2017

• Alana Huszar, Steffen Marcus, and Martin Ulirsch:
• Clutching and gluing in tropical and logarithmic geometry
• more information >>

Preprint 40/2017

• Johannes Rauh, Pradeep Kumar Banerjee, Eckehard Olbrich, Jürgen Jost, and Nils Bertschinger:
• On extractable shared information
• more information >>

Preprint 39/2017

• Kathlén Kohn, Bernd Sturmfels, and Matthew Trager:
• Changing Views on Curves and Surfaces
• more information >>

Preprint 38/2017

• Timo Ehrig, Jürgen Jost, and Rosemarie Nagel:
• Bidding with Coordination Risks
• more information >>

Preprint 37/2017

• Peter Bella, Alberto Chiarini, and Benjamin Fehrman:
• A Liouville theorem for stationary and ergodic ensembles of parabolic systems
• more information >>

Preprint 36/2017

• Lukas Katthaen, Mateusz Michałek, and Ezra Miller:
• When is a polynomial ideal binomial after an ambient automorphism?
• more information >>

Preprint 35/2017

• Jürgen Jost, Lei Liu, and Miaomiao Zhu:
• Existence of solutions of a mixed elliptic-parabolic boundary value problem coupling a harmonic-like map with a nonlinear spinor
• revised version: October 2018
• more information >>

Preprint 34/2017

• Emil Saucan, Areejit Samal, Melanie Weber, and Jürgen Jost:
• Discrete curvatures and network analysis
• more information >>

Preprint 33/2017

• Christiane Görgen, Anna Bigatti, Eva Riccomagno, and Jim Q. Smith:
• Discovery of statistical equivalence classes using computer algebra
• more information >>

Preprint 32/2017

• Elina Robeva, Bernd Sturmfels, and Caroline Uhler:
• Geometry of Log-Concave Density Estimation
• more information >>

Preprint 31/2017

• Xiaoli Han, Jürgen Jost, Lei Liu, and Liang Zhao:
• Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces
• more information >>

Preprint 30/2017

• Sacha Sokoloski:
• Implementing a Bayes Filter in a Neural Circuit: The Case of Unknown Stimulus Dynamics
• more information >>

Preprint 29/2017

• Peter Bella and Robert V. Kohn:
• Wrinkling of a thin circular sheet bonded to a spherical substrate
• more information >>

Preprint 28/2017

• Mario Denis Kummer:
• On the connectivity of the hyperbolicity region of irreducible polynomials
• more information >>

Preprint 27/2017

• Mateusz Michałek and Emanuele Ventura:
• Phylogenetic complexity of the 3-Kimura model
• more information >>

Preprint 26/2017

• Rostislav Matveev and Jacobus Willem Portegies:
• Tropical Limits of Probability Spaces, Part I: The Intrinsic Kolmogorov-Sinai Distance and the Asymptotic Equipartition Property
• more information >>

Preprint 25/2017

• Jürgen Jost, Lei Liu, and Miaomiao Zhu:
• Regularity of Dirac-harmonic maps with λ−curvature term in higher dimensions
• revised version: April 2017
• more information >>

Preprint 24/2017

• Jürgen Jost, Enno Keßler, Jürgen Tolksdorf, Ruijun Wu, and Miaomiao Zhu:
• Symmetries and conservation laws of a nonlinear sigma model with gravitino
• more information >>

Preprint 23/2017

• Nidhi Kaihnsa, Mario Denis Kummer, Daniel Plaumann, Mahsa Sayyary Namin, and Bernd Sturmfels:
• Sixty-Four Curves of Degree Six
• revised version: July 2017
• more information >>

Preprint 22/2017

• Xue-Na Zhu, Xianqing Li-Jost, and Shao-Ming Fei:
• Monogamy relations of concurrence for any dimensional quantum systems
• more information >>

Preprint 21/2017

• Ting-Gui Zhang, Hong Yang, Xianqing Li-Jost, and Shao-Ming Fei:
• Uniform Quantification of Correlations for Bipartite Systems
• more information >>

Preprint 20/2017

• Yunlong Xiao, Naihuan Jing, Bing Yu, Shao-Ming Fei, and Xianqing Li-Jost:
• Strong Variance-Based Uncertainty Relations and Uncertainty Intervals
• more information >>

Preprint 19/2017

• Biao-Liang Ye, Bo Li, Li-Jun Zhao, Hai-Jun Zhang, and Shao-Ming Fei:
• One-way quantum deficit and quantum coherence in the anisotropic XY chain
• more information >>

Preprint 18/2017

• Yan-Ling Wang, Mao-Sheng Li, Zhu-Jun Zheng, and Shao-Ming Fei:
• The local indistinguishability of multipartite product states
• more information >>

Preprint 17/2017

• Zhi-Xiang Jin and Shao-Ming Fei:
• Tighter entanglement monogamy relations of qubit systems
• more information >>

Preprint 16/2017

• Xue-Na Zhu and Shao-Ming Fei:
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States
• more information >>

Preprint 15/2017

• Zhi-Hao Ma, Zhi-Hua Chen, Ismail Nikoufar, and Shao-Ming Fei:
• Sharp Continuity Bounds for Entropy and Conditional Entropy
• more information >>

Preprint 14/2017

• Zhi-Hao Ma, Zhi-Hua Chen, and Shao-Ming Fei:
• Uncertainty Relations Based on Skew Information with Quantum Memory
• more information >>

Preprint 13/2017

• Jürgen Jost, Ruijun Wu, and Miaomiao Zhu:
• Energy quantization for a nonlinear sigma model with critical gravitinos
• more information >>

Preprint 12/2017

• Venera Khoromskaia and Boris N. Khoromskij:
• Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach
• more information >>

Preprint 11/2017

• Jürgen Jost, Lei Liu, and Miaomiao Zhu:
• Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary
• revised version: June 2017
• more information >>

Preprint 10/2017

• Boris N. Khoromskij and Sergey Repin:
• Rank structured approximation method for quasi--periodic elliptic problems
• more information >>

Preprint 9/2017

• Mateusz Michałek and Hyunsuk Moon:
• Spaces of Sums of Powers and Real Rank Boundaries
• revised version: January 2017
• more information >>

Preprint 8/2017

• Odette Sylvia Yaptieu Djeungue:
• Discrete Morse-Bott theory for CW complexes
• revised version: November 2017
• more information >>

Preprint 7/2017

• Akihiro Higashitani, Mario Denis Kummer, and Mateusz Michałek:
• Interlacing Ehrhart Polynomials of Reflexive Polytopes
• more information >>

Preprint 6/2017

• Jürgen Jost, Ruijun Wu, and Miaomiao Zhu:
• Coarse Regularity of Solutions to a Nonlinear Sigma-model with L^p gravitino
• revised version: January 2017
• more information >>

Preprint 5/2017

• Emil Saucan and Jürgen Jost:
• Network Topology vs. Geometry: From persistent Homology to Curvature
• more information >>

Preprint 4/2017

• Ming-Jing Zhao, Teng Ma, Ting-Gui Zhang, and Shao-Ming Fei:
• von Neumann measurement-related matrices and the nullity condition for quantum correlation
• more information >>

Preprint 3/2017

• Yunlong Xiao, Naihuan Jing, Shao-Ming Fei, and Xianqing Li-Jost:
• Improved Uncertainty Relation in the Presence of Quantum Memory
• more information >>

Preprint 2/2017

• Teng Ma, Ming-Jing Zhao, Shao-Ming Fei, and Gui-Lu Long:
• Remote Creation of Quantum Coherence
• more information >>

Preprint 1/2017

• Tao Li, Yunlong Xiao, Teng Ma, Shao-Ming Fei, Xianqing Li-Jost, Naihuan Jing, and Zhi-Xi Wang:
• Optimal Universal Uncertainty Relations
• more information >>