Preprint 110/2020

• Tobias Lehmann, Max von Renesse, Alexander Sambale, and André Uschmajew:
• A note on overrelaxation in the Sinkhorn algorithm
• revised version: December 2021
• more information >>

Preprint 109/2020

• Lukas Kühne, Rudi Pendavingh, and Geva Yashfe:
• Von Staudt Constructions for Skew-Linear and Multilinear Matroids
• more information >>

Preprint 108/2020

• Christopher Eur, Tara Fife, José Alejandro Samper, and Tim Seynnaeve:
• Reciprocal maximum likelihood degrees of diagonal linear concentration models
• more information >>

Preprint 107/2020

• Laurent Manivel, Mateusz Michałek, Leonid Monin, Tim Seynnaeve, and Martin Vodička:
• Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
• more information >>

Preprint 106/2020

• Amirhossein Farzam, Areejit Samal, and Jürgen Jost:
• Degree difference: A simple measure to characterize structural heterogeneity in complex networks
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Preprint 105/2020

• Stephan Luckhaus:
• Corona, Mathematical Epidemiology, Herd Immunity, and Data
• more information >>

Preprint 104/2020

• Andrew Frohmader and Alexander Heaton:
• Epsilon local rigidity and numerical algebraic geometry
• more information >>

Preprint 103/2020

• Marzieh Eidi, Amirhossein Farzam, Wilmer Leal, Areejit Samal, and Jürgen Jost:
• Edge-based analysis of networks: Curvatures of graphs and hypergraphs
• more information >>

Preprint 102/2020

• Nihat Ay, Nils Bertschinger, Jürgen Jost, Eckehard Olbrich, and Johannes Rauh:
• Information and Complexity, or: Where is the Information?
• more information >>

Preprint 101/2020

• Jürgen Jost:
• Biological information
• more information >>

Preprint 100/2020

• Florio Maria Ciaglia, Jürgen Jost, and Lorenz J. Schwachhöfer:
• Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
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Preprint 99/2020

• Vladislav Barkanass, Jürgen Jost, and Emil Saucan:
• Geometric Sampling of Networks
• revised version: March 2021
• more information >>

Preprint 98/2020

• Wolfgang Hackbusch:
• Minimal Divergence for Border Rank-2 Tensor Approximation
• more information >>

Preprint 97/2020

• Hoang Duc Luu:
• Random attractors for dissipative systems with rough noises
• revised version: November 2021
• more information >>

Preprint 96/2020

• Leo Margolis and Mima Stanojkovski:
• On the Modular Isomorphism Problem for groups of class 3 and obelisks
• more information >>

Preprint 95/2020

• Areejit Samal, Hirdesh Kumar Pharasi, Sarath Jyotsna Ramaia, Harish Kannan, Emil Saucan, Jürgen Jost, and Anirban Chakraborti:
• Network geometry and market instability
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Preprint 94/2020

• Zhi-Xiang Jin, Xianqing Li-Jost, Shao-Ming Fei, and Cong-Feng Qiao:
• Quantum Coherence Bounds the Distributed Discords
• more information >>

Preprint 93/2020

• Biao-Liang Ye, Bo Li, Xiao-Bin Liang, and Shao-Ming Fei:
• Local quantum Fisher information and one-way quantum deficit in spin- XX Heisenberg chain with three-spin interaction
• more information >>

Preprint 92/2020

• Huaijing Huang, Zhaoqi Wu, and Shao-Ming Fei:
• The n-th decay rate of coherence for Bell-diagonal states under quantum channels
• more information >>

Preprint 91/2020

• Shi-Ju Ran, Zheng-Zhi Sun, Shao-Ming Fei, Gang Su, and Maciej Lewenstein:
• Tensor Network Compressed Sensing with Unsupervised Machine Learning
• more information >>

Preprint 90/2020

• Long-Mei Yang, Bao-Zhi Sun, Bin Chen, Shao-Ming Fei, and Zhi-Xi Wang:
• Quantum Fisher information-based detection of genuine tripartite entanglement
• more information >>

Preprint 89/2020

• Xiangzhi Cao and Qun Chen:
• Existence for VT-harmonic maps from compact manifolds with boundaries
• more information >>

Preprint 88/2020

• Mohamed Barakat, Reimer Behrends, Christopher Jefferson, Lukas Kühne, and Martin Leuner:
• On the Generation of Rank 3 Simple Matroids with an Application to Terao’s Freeness Conjecture
• more information >>

Preprint 87/2020

• Barbara Nelli and Jingyong Zhu:
• Uniqueness of Hypersurfaces of Constant Higher Order Mean Curvature in Hyperbolic Space
• more information >>

Preprint 86/2020

• Lukas Kühne:
• The universality of the resonance arrangement and its Betti numbers
• more information >>

Preprint 85/2020

• Carlotta Langer and Nihat Ay:
• Complexity as Causal Information Integration
• revised version: February 2021
• more information >>

Preprint 84/2020

• Csongor Varady, Nihat Ay, Riccardo Volpi, and Luigi Malagò:
• Natural Wake-Sleep Algorithm
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Preprint 83/2020

• Henrik Eisenmann and Yuji Nakatsukasa:
• Solving two-parameter eigenvalue problems using an alternating method
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Preprint 82/2020

• Yairon Cid Ruiz and Aron Simis:
• Degree of rational maps and specialization
• more information >>

Preprint 81/2020

• Nihat Ay, Daniel Polani, and Nathaniel Virgo:
• Information Decomposition Based on Cooperative Game Theory
• more information >>

Preprint 80/2020

• Hoang Duc Luu and Jürgen Jost:
• Mathematical modelling and empirical data analysis of the Covid-19 pandemic
• revised version: July 2020
• more information >>

Preprint 79/2020

• Guido Montúfar and Yu Guang Wang:
• Distributed Learning via Filtered Hyperinterpolation on Manifolds
• revised version: July 2020
• more information >>

Preprint 78/2020

• Hoang Duc Luu:
• Controlled differential equations as rough integrals
• revised version: October 2020
• more information >>

Preprint 77/2020

• Guillermo Restrepo and Jürgen Jost:
• A formal setting for the evolution of chemical knowledge
• more information >>

Preprint 76/2020

• Sharwin Rezagholi:
• Subshifts on infinite alphabets and their entropy
• revised version: November 2020
• more information >>

Preprint 75/2020

• Nihat Ay:
• Confounding Ghost Channels and Causality: A New Approach to Causal Information Flows
• more information >>

Preprint 74/2020

• Oihana Garaialde Ocaña and Mima Stanojkovski:
• Orbits classifying extensions of prime power order groups
• more information >>

Preprint 73/2020

• Sharwin Rezagholi:
• Factor maps of collective dynamics and hyperspace entropy
• more information >>

Preprint 72/2020

• Yu Guang Wang, Ming Li, Zheng Ma, Guido Montúfar, Xiaosheng Zhuang, and Yanan Fan:
• Haar Graph Pooling
• more information >>

Preprint 71/2020

• Ting-Gui Zhang, Zhengmin Jiang, Ya Xi, Xiaofen Huang, Xianqing Li-Jost, and Shao-Ming Fei:
• On quantum nonlocality of high dimensional quantum systems
• more information >>

Preprint 70/2020

• Jianwei Xu, Lian-He Shao, and Shao-Ming Fei:
• Coherence measures with respect to general quantum measurements
• more information >>

Preprint 69/2020

• Jürgen Jost and Jingyong Zhu:
• Existence of (Dirac-)harmonic Maps from Degenerating (Spin) Surfaces
• more information >>

Preprint 68/2020

• Quan Quan, Ming-Jing Zhao, Shao-Ming Fei, Heng Fan, Wen-Li Yang, Tie-Jun Wang, and Gui-Lu Long:
• Two-Copy Quantum Teleportation Based on GHZ Measurement
• more information >>

Preprint 67/2020

• Xiao-Bin Liang, Bo Li, Liang Huang, Biao-Liang Ye, Shao-Ming Fei, and Shi-Xiang Huang:
• The optimal approximations of available states and a triple uncertainty relation
• more information >>

Preprint 66/2020

• Wen Xu, Chuan-Jie Zhu, Zhu-Jun Zheng, and Shao-Ming Fei:
• Necessary conditions for classifying m-separability of multipartite entanglements
• more information >>

Preprint 65/2020

• Riley Murray, Helen Naumann, and Thorsten Theobald:
• The X-circuits Behind Conditional SAGE Certificates
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Preprint 64/2020

• Yonatan Dukler, Quanquan Gu, and Guido Montúfar:
• Optimization Theory for ReLU Neural Networks Trained with Normalization Layers
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Preprint 63/2020

• Hui Jin and Guido Montúfar:
• Implicit bias of gradient descent for mean squared error regression with wide neural networks
• more information >>

Preprint 62/2020

• Marc Peigne and Tat Dat Tran:
• On the asymptotic behavior of the Diaconis and Freedman's chain in a multidimensional simplex
• more information >>

Preprint 61/2020

• Linlin Sun and Jingyong Zhu:
• Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function
• more information >>

Preprint 60/2020

• Stephan Luckhaus:
• Mathematical Epidemiology, SIR Models and COVID-19
• more information >>

Preprint 59/2020

• Nihat Ay:
• On the Locality of the Natural Gradient for Deep Learning
• more information >>

Preprint 58/2020

• Wolfgang Hackbusch and André Uschmajew:
• Modified iterations for data-sparse solution of linear systems
• revised version: April 2021
• more information >>

Preprint 57/2020

• Marc Josien and Felix Otto:
• The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization
• more information >>

Preprint 56/2020

• Federico Castillo, Yairon Cid Ruiz, Binglin Li, Jonathan Montaño, and Naizhen Zhang:
• When are multidegrees positive?
• more information >>

Preprint 55/2020

• Ralph Morrison and Ayush Kumar Tewari:
• Convex lattice polygons with all lattice points visible
• more information >>

Preprint 54/2020

• Zhaoqi Wu, Huai-Jing Huang, Shao-Ming Fei, and Xianqing Li-Jost:
• Geometry of skew information-based quantum coherence
• more information >>

Preprint 53/2020

• Qing-Hua Zhang and Shao-Ming Fei:
• A Sufficient Entanglement Criterion Based On Quantum Fisher Information and Variance
• more information >>

Preprint 52/2020

• Mao-Sheng Li, Zong-Xin Xiong, Yan-Ling Wang, and Shao-Ming Fei:
• Twist-teleportation based local discrimination of maximally entangled states
• more information >>

Preprint 51/2020

• Lingyun Sun, Jing Wang, Ming Li, Shu-Qian Shen, Lei Li, Shao-Ming Fei, and Jianhuan Qiao:
• The reduction of the number of incoherent Kraus operations for qutrit systems
• more information >>

Preprint 50/2020

• Meng-Li Guo, Bo Li, Zhi-Xi Wang, and Shao-Ming Fei:
• Tighter constraints of multiqubit entanglement in terms of Rényi-α entropy
• more information >>

Preprint 49/2020

• Xiao-Bin Liang, Bo Li, Shao-Ming Fei, and Heng Fan:
• Impossibility of masking a set of quantum states of nonzero measure
• more information >>

Preprint 48/2020

• Ole Peters, Alexander Adamou, Mark Kirstein, and Yonatan Berman:
• What are we weighting for? A mechanistic model for probability weighting
• more information >>

Preprint 47/2020

• Laurent Busé, Yairon Cid Ruiz, and Carlos D'Andrea:
• Degree and birationality of multi‐graded rational maps
• more information >>

Preprint 46/2020

• Roser Homs Pons and Anna-Lena Winz:
• Canonical Hilbert-Burch matrices for power series
• more information >>

Preprint 45/2020

• Edgar Costa and Emre Sertöz:
• Effective obstruction to lifting Tate classes from positive characteristic
• more information >>

Preprint 44/2020

• Ming Li, Hui-Hui Qin, Chengjie Zhang, Shu-Qian Shen, Shao-Ming Fei, and Heng Fan:
• Characterizing multipartite entanglement by violation of CHSH inequalities
• more information >>

Preprint 43/2020

• Bin Chen and Shao-Ming Fei:
• Total variance and invariant information in complementary measurements
• more information >>

Preprint 42/2020

• Hui Zhao, MeiMing Zhang, Shao-Ming Fei, and Naihuan Jing:
• Projection based lower bounds of concurrence for multipartite quantum systems
• more information >>

Preprint 41/2020

• Ting-Gui Zhang, Xiaofen Huang, and Shao-Ming Fei:
• Note on Product-Form Monogamy Relations for Nonlocality and Other Correlation Measures
• more information >>

Preprint 40/2020

• Ming Li, Zong Wang, Jing Wang, Shu-Qian Shen, and Shao-Ming Fei:
• Improved lower bounds of concurrence and convex-roof extended negativity based on Bloch representations
• more information >>

Preprint 39/2020

• Jin-Hua Zhang, Fu-Lin Zhang, Zhi-Xi Wang, Le-Min Lai, and Shao-Ming Fei:
• Discriminating bipartite mixed states by local operations
• more information >>

Preprint 38/2020

• Jürgen Jost and Dong Zhang:
• Interactions between discrete and continuous optimization and critical point theory via multi-way Lovász extensions
• more information >>

Preprint 37/2020

• Francesca Arici, Francesco Galuppi, and Tatiana Gateva-Ivanova:
• Veronese and Segre morphisms between non-commutative projective spaces
• more information >>

Preprint 36/2020

• Ivan Yamshchikov, Cyrille Merleau Nono Saha, Igor Samenko, and Jürgen Jost:
• It Means More if It Sounds Good: Yet Another Hypotheses Concerning the Evolution of Polysemous Words
• more information >>

Preprint 35/2020

• Yu Guo and Lin Zhang:
• Multipartite entanglement measure and complete monogamy relation
• more information >>

Preprint 34/2020

• Marc Chardin, Yairon Cid Ruiz, and Aron Simis:
• Generic freeness of local cohomology and graded specialization
• more information >>

Preprint 33/2020

• Markus Bachmayr, Henrik Eisenmann, Emil Kieri, and André Uschmajew:
• Existence of dynamical low-rank approximations to parabolic problems
• revised version: December 2020
• more information >>

Preprint 32/2020

• Bao-Zhi Sun, Shao-Ming Fei, and Xianqing Li-Jost:
• Quantum Information Masking of Hardmard Sets
• more information >>

Preprint 31/2020

• Ming-Jing Zhao, Teng Ma, Zhen Wang, Shao-Ming Fei, and Rajesh Pereira:
• Coherence Concurrence for X States
• more information >>

Preprint 30/2020

• Zhi-Xiang Jin, Shao-Ming Fei, and Cong-Feng Qiao:
• Complementary Quantum Correlations among Multipartite Systems
• more information >>

Preprint 29/2020

• Le-Min Lai, Tao Li, Shao-Ming Fei, and Zhi-Xi Wang:
• Detecting EPR steering via two classes of local measurements
• more information >>

Preprint 28/2020

• Zhengmin Jiang, Ting-Gui Zhang, Xiaofen Huang, and Shao-Ming Fei:
• Trade-off relations of l₁-norm coherence for multipartite systems
• more information >>

Preprint 27/2020

• Markus Bähring:
• A note on uniform convergence of Wiener-Wintner ergodic averages
• more information >>

Preprint 26/2020

• Yonatan Berman and Mark Kirstein:
• Risk Preferences in Time Lotteries
• revised version: September 2021
• more information >>

Preprint 25/2020

• Francesco Galuppi and Mima Stanojkovski:
• Toric varieties from cyclic matrix groups
• more information >>

Preprint 24/2020

• Felix Gaisbauer, Eckehard Olbrich, and Sven Banisch:
• The dynamics of opinion expression
• more information >>

Preprint 23/2020

• Venera Khoromskaia and Boris N. Khoromskij:
• Prospects of tensor-based numerical modeling of the collective electrostatic potential in many-particle systems
• more information >>

Preprint 22/2020

• Takayuki Hibi, Michal Lason, Kazunori Matsuda, Mateusz Michałek, and Martin Vodička:
• Gorenstein graphic matroids
• more information >>

Preprint 21/2020

• Bao-Zhi Sun, Zhi-Xi Wang, Xianqing Li-Jost, and Shao-Ming Fei:
• A Note on Hierarchy of Quantum Measurement Incompatibilities
• more information >>

Preprint 20/2020

• Shu-Qian Shen, Jin-Min Liang, Ming Li, Juan Yu, and Shao-Ming Fei:
• Nonlinear Improvement of Qubit-qudit Entanglement Witnesses
• more information >>

Preprint 19/2020

• Hui-Hui Qin, Shao-Ming Fei, and Chang-Pu Sun:
• Quantifying Algebraic Asymmetry of Hamiltonian Systems
• more information >>

Preprint 18/2020

• Zhi-Xiang Jin and Shao-Ming Fei:
• Strong polygamy and monogamy relations for multipartite quantum systems
• more information >>

Preprint 17/2020

• Indrava Roy, Sudharsan Vijayaraghavan, Sarath Jyotsna Ramaia, and Areejit Samal:
• Forman-Ricci curvature and Persistent homology of unweighted complex networks
• more information >>

Preprint 16/2020

• András Cristian Lőrincz and Jerzy Weyman:
• Local cohomology on a subexceptional series of representations
• more information >>

Preprint 15/2020

• András Cristian Lőrincz:
• Minimal free resolutions of ideals of minors associated to pairs of matrices
• more information >>

Preprint 14/2020

• Zhaoqi Wu, Lin Zhang, Shao-Ming Fei, and Xianqing Li-Jost:
• Coherence and complementarity based on modified generalized skew information
• revised version: March 2020
• more information >>

Preprint 13/2020

• Bao-Zhi Sun, Shao-Ming Fei, Naihuan Jing, and Xianqing Li-Jost:
• Time optimal control based on classification of quantum gates
• more information >>

Preprint 12/2020

• Zhi-Xiang Jin and Shao-Ming Fei:
• Tighter generalized monogamy and polygamy relations for multiqubit systems
• more information >>

Preprint 11/2020

• Long-Mei Yang, Bin Chen, Shao-Ming Fei, and Zhi-Xi Wang:
• Tighter constraints of multiqubit entanglement for negativity
• more information >>

Preprint 10/2020

• Lian-He Shao, Yu-Ran Zhang, Yu Luo, Zhengjun Xi, and Shao-Ming Fei:
• Quantifying quantum non-Markovianity based on quantum coherence via skew information
• more information >>

Preprint 9/2020

• Tao Li, Le-Min Lai, Shao-Ming Fei, and Zhi-Xi Wang:
• Mutually unbiased measurement based entanglement witnesses
• more information >>

Preprint 8/2020

• Li-Jun Zhao, Lin Chen, Yu-Min Guo, Kai Wang, Yi Shen, and Shao-Ming Fei:
• Trade-off Relation among Genuine Three-qubit Nonlocalities in Four-qubit Systems
• more information >>

Preprint 7/2020

• Jürgen Jost and Raffaella Mulas:
• Cheeger-like inequalities for the largest eigenvalue of the graph Laplace Operator
• more information >>

Preprint 6/2020

• Jürgen Jost, Raffaella Mulas, and Florentin Münch:
• Spectral gap of the largest eigenvalue of the normalized graph Laplacian
• more information >>

Preprint 5/2020

• Marc Josien and Claudia Raithel:
• Quantitative homogenization for the case of an interface between two heterogeneous media
• more information >>

Preprint 4/2020

• Johannes Rauh, Maik Schünemann, and Jürgen Jost:
• Properties of Unique Information
• revised version: May 2021
• more information >>

Preprint 3/2020

• Yairon Cid Ruiz:
• Mixed multiplicities and projective degrees of rational maps
• more information >>

Preprint 2/2020

• Hang Huang, Mateusz Michałek, and Emanuele Ventura:
• Vanishing Hessian, wild forms and their border VSP
• more information >>

Preprint 1/2020

• Joseph Landsberg and Mateusz Michałek:
• Towards finding hay in a haystack: explicit tensors of border rank greater than 2.02m in ℂ^m ⊗ ℂ^m ⊗ ℂ^m
• more information >>