Preprint 107/2019

• Lin Zhang, Yixin Jiang, and Junde Wu:
• Duistermaat-Heckman measure and the mixture of quantum states
• more information >>

Preprint 106/2019

• Lin Zhang, Hua Xiang, Xianqing Li-Jost, and Shao-Ming Fei:
• Incompatibility probability of random quantum measurements
• more information >>

Preprint 105/2019

• Jürgen Jost and Jingyong Zhu:
• Short-time existence of the α-Dirac-harmonic map flow and applications
• more information >>

Preprint 104/2019

• Johannes Rauh, Pradeep Kumar Banerjee, Eckehard Olbrich, and Jürgen Jost:
• Unique Information and Secret Key Decompositions
• more information >>

Preprint 103/2019

• Pradeep Kumar Banerjee, Eckehard Olbrich, Jürgen Jost, and Johannes Rauh:
• Unique Informations and Deficiencies
• more information >>

Preprint 102/2019

• Christian Krumnow, Max Pfeffer, and André Uschmajew:
• Computing eigenspaces with low rank constraints
• revised version: February 2021
• more information >>

Preprint 101/2019

• Hoang Duc Luu and Jürgen Jost:
• How rough path lifts affect expected return and volatility: a rough model under transaction cost
• revised version: March 2023
• more information >>

Preprint 100/2019

• Steffen Börm, Sven Christophersen, and Ronald Kriemann:
• Semi-Automatic Task Graph Construction for H-Matrix Arithmetic
• more information >>

Preprint 99/2019

• Zhaoqi Wu, Lin Zhang, Shao-Ming Fei, and Xianqing Li-Jost:
• Average skew information-based coherence and its typicality for random quantum states
• more information >>

Preprint 98/2019

• Miruna-Ştefana Sorea:
• Permutations encoding the local shape of level curves of real polynomials via generic projections
• more information >>

Preprint 97/2019

• Jürgen Jost and Timo Ehrig:
• Boundedly rational strategic interaction and the interplay between complexity and simplification: Implications for strategy science
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Preprint 96/2019

• Laura State:
• Training Delays in Spiking Neural Networks
• more information >>

Preprint 95/2019

• Lorenzo Venturello and Hailun Zheng:
• A new family of triangulations of ℝP_d
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Preprint 94/2019

• Lamprini Ananiadi and Eliana Maria Duarte Gelvez:
• Gröbner bases for staged trees
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Preprint 93/2019

• Lin Zhang and Hua Xiang:
• A variant of Horn's problem and the derivative principle
• more information >>

Preprint 92/2019

• Stephan Luckhaus and Konstantinos Zemas:
• Stability estimates for the conformal group of Sⁿ⁻¹ in dimension n ≥ 3
• more information >>

Preprint 91/2019

• Yairon Cid Ruiz and Vivek Mukundan:
• Multiplicity of the saturated special fiber ring of height three Gorenstein ideals
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Preprint 90/2019

• Maria Donten-Bury, Paul Görlach, and Milena Wrobel:
• Towards classifying toric degenerations of cubic surfaces
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Preprint 89/2019

• Yairon Cid Ruiz:
• Noetherian operators, primary submodules and symbolic powers
• more information >>

Preprint 88/2019

• Tim Seynnaeve and Rodica Dinu:
• The Hessian discriminant
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Preprint 87/2019

• Harish Kannan, Emil Saucan, Indrava Roy, and Areejit Samal:
• Persistent homology of unweighted complex networks via discrete Morse theory
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Preprint 86/2019

• Alexander Heaton and Isabelle Shankar:
• An SOS counterexample to an inequality of symmetric functions
• more information >>

Preprint 85/2019

• Alexander Heaton:
• Nonlinear algebra via tensegrity structures
• more information >>

Preprint 84/2019

• Avinash Kulkarni and Antonio Lerario:
• p-adic Integral Geometry
• more information >>

Preprint 83/2019

• Lidan Wang, Lihe Wang, and Chunqin Zhou:
• The exponential growth and decay properties for solutions to elliptic equations in unbounded cylinders
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Preprint 82/2019

• Changliang Zhou and Chunqin Zhou:
• On the Anisotropic Moser-Trudinger inequality for unbounded domains in ℝⁿ
• more information >>

Preprint 81/2019

• Azeem Khadam, Mateusz Michałek, and Piotr Zwiernik:
• Secant varieties of toric varieties arising from simplicial complexes
• more information >>

Preprint 80/2019

• Jürgen Jost, Chunqin Zhou, and Miaomiao Zhu:
• Energy quantization for a singular super-Liouville boundary value problem
• more information >>

Preprint 79/2019

• Paul Görlach, Yue Ren, and Leon Zhang:
• Computing zero-dimensional tropical varieties via projections
• more information >>

Preprint 78/2019

• Zhaoqi Wu, Jianhui Wang, Xianqing Li-Jost, and Shao-Ming Fei:
• Uncertainty relations based on modified Wigner-Yanase-Dyson skew information
• more information >>

Preprint 77/2019

• Zhaoqi Wu, Shao-Ming Fei, Xianqing Li-Jost, and Jianhui Wang:
• Characterizing Bell nonlocality and steering in generalized probabilistic theories
• more information >>

Preprint 76/2019

• Xiao-Bin Liang, Bo Li, and Shao-Ming Fei:
• Complete Characterization of Qubit Masking
• more information >>

Preprint 75/2019

• Minyi Huang, Ray-Kuang Lee, Lijian Zhang, Shao-Ming Fei, and Junde Wu:
• Simulating broken PT-symmetric Hamiltonian systems by weak measurement
• more information >>

Preprint 74/2019

• Hui Zhao, Lin Zhang, Shao-Ming Fei, and Naihuan Jing:
• Constructing mutually unbiased bases from unextendible maximally entangled bases
• more information >>

Preprint 73/2019

• Jing-Yun Zhao, Hui Zhao, Naihuan Jing, and Shao-Ming Fei:
• Detection of Genuine Multipartite Entanglement in Multipartite Systems
• more information >>

Preprint 72/2019

• Long-Mei Yang, Tao Li, Shao-Ming Fei, and Zhi-Xi Wang:
• Entanglement enhanced distinguishability of coherence-breaking channels
• more information >>

Preprint 71/2019

• Ya Xi, Ting-Gui Zhang, Zhu-Jun Zheng, Xianqing Li-Jost, and Shao-Ming Fei:
• Converting quantum coherence to genuine multipartite entanglement and nonlocality
• more information >>

Preprint 70/2019

• Xue-Na Zhu, Zhi-Xiang Jin, and Shao-Ming Fei:
• Polygamy Inequalities for Qubit Systems
• more information >>

Preprint 69/2019

• Yao-Kun Wang, Lian-He Shao, Shao-Ming Fei, and Zhi-Xi Wang:
• Geometry of Quantum Coherence for Two Qubit X States
• more information >>

Preprint 68/2019

• Wilmer Leal, Eugenio J. Llanos, Peter F. Stadler, Jürgen Jost, and Guillermo Restrepo:
• The chemical space from which the periodic system arose
• more information >>

Preprint 67/2019

• Arnd Scheel, Angela Stevens, and Christoph Tenbrock:
• Signaling gradients in surface dynamics as basis for planarian regeneration
• more information >>

Preprint 66/2019

• Khazhgali Kozhasov, Mateusz Michałek, and Bernd Sturmfels:
• Positivity Certificates via Integral Representations
• more information >>

Preprint 65/2019

• Eliana Maria Duarte Gelvez and Alexandra Seceleanu:
• Implicitization of tensor product surfaces via virtual projective resolutions
• more information >>

Preprint 64/2019

• Zhaoqi Wu, Shao-Ming Fei, Xianqing Li-Jost, and Lin Zhang:
• Information transfer in generalized probabilistic theories based on weak repeatability
• more information >>

Preprint 63/2019

• Teng Ma, Ming-Jing Zhao, Shao-Ming Fei, and Man-Hong Yung:
• Quantum Coherence of non-Degeneracy is Essential in Energy Flow
• more information >>

Preprint 62/2019

• Long-Mei Yang, Tao Li, Shao-Ming Fei, and Zhi-Xi Wang:
• Entanglement-breaking of quantum dynamical channels
• more information >>

Preprint 61/2019

• Bo Li, Shuhan Jiang, Xiao-Bin Liang, Xianqing Li-Jost, Heng Fan, and Shao-Ming Fei:
• Quantum information masking: deterministic versus probabilistic
• more information >>

Preprint 60/2019

• Hengyan Wang, Zhi-Hao Ma, Shengjun Wu, Wenqiang Zheng, Zhu Cao, Zhi-Hua Chen, Zhaokai Li, Shao-Ming Fei, Xinhua Peng, Jiangfeng Du, and Vlatko Vedral:
• Uncertainty Equality with Quantum Memory and Its Experimental Verification
• more information >>

Preprint 59/2019

• Xue-Na Zhu, Zhi-Xiang Jin, and Shao-Ming Fei:
• Quantifying quantum coherence based on the generalized α-z-relative Rényi entropy
• more information >>

Preprint 58/2019

• Zhi-Xiang Jin and Shao-Ming Fei:
• Monogamy relations of all quantum correlation measures for multipartite quantum systems
• more information >>

Preprint 57/2019

• Nidhi Kaihnsa, Yue Ren, Mohab Safey El Din, and Johannes W. R. Martini:
• Cooperativity, Absolute Interaction, and Algebraic Optimization
• more information >>

Preprint 56/2019

• Miruna-Ştefana Sorea:
• Measuring the local non-convexity of real algebraic curves
• more information >>

Preprint 55/2019

• Lek-Heng Lim, Mateusz Michałek, and Yang Qi:
• Best k-layer neural network approximations
• more information >>

Preprint 54/2019

• Avinash Kulkarni:
• Solving p-adic Polynomial Systems via Iterative Eigenvector Algorithms.
• more information >>

Preprint 53/2019

• Zhi-Hao Ma, Jian Cui, Zhu Cao, Shao-Ming Fei, and Vlatko Vedral:
• Operational advantage of basis-independent quantum coherence
• more information >>

Preprint 52/2019

• Zong-Xing Xiong, Mao-Sheng Li, Zhu-Jun Zheng, Chuan-Jie Zhu, and Shao-Ming Fei:
• PPT-distinguishability for the lattice maximally entangled states
• more information >>

Preprint 51/2019

• Zhi-Xiang Jin and Shao-Ming Fei:
• Polygamy relations of multipartite entanglement beyond qubits
• more information >>

Preprint 50/2019

• Zhi-Xiang Jin and Shao-Ming Fei:
• Super-activation of monogamy relations for non-additive quantum correlation measures
• more information >>

Preprint 49/2019

• Hui-Hui Qin, Ting-Gui Zhang, Leonardo Jost, Chang-Pu Sun, Xianqing Li-Jost, and Shao-Ming Fei:
• Uncertainties of genuinely incompatible triple measurements based on statistical distance
• more information >>

Preprint 48/2019

• Ya-Li Mao, Zhi-Hao Ma, Rui-Bao Jin, Qi-Chao Sun, Shao-Ming Fei, Qiang Zhang, Jingyun Fan, and Jian-Wei Pan:
• Error-Disturbance Tradeoff in Sequential Quantum Measurements
• more information >>

Preprint 47/2019

• Zhi-Xiang Jin, Shao-Ming Fei, and Cong-Feng Qiao:
• Polygamy relations of multipartite systems
• more information >>

Preprint 46/2019

• Leonhard Horstmeyer and Sharwin Rezagholi:
• Partially Observable Systems and Quotient Entropy via Graphs
• revised version: November 2020
• more information >>

Preprint 45/2019

• Florio Maria Ciaglia, Alberto Ibort, Jürgen Jost, and Giuseppe Marmo:
• Manifolds of classical probability distributions and quantum density operators in infinite dimensions
• more information >>

Preprint 44/2019

• Madeline Brandt and Madeleine Weinstein:
• Voronoi Cells in Metric Algebraic Geometry of Plane Curves
• more information >>

Preprint 43/2019

• Jürgen Jost, Hông Vân Lê, Hoang Duc Luu, and Tat Dat Tran:
• Probabilistic Mappings and Bayesian Nonparametrics
• more information >>

Preprint 42/2019

• Max Pfeffer, André Uschmajew, Adriana Amaro, and Ulrich Pfeffer:
• Data fusion techniques for the integration of multi-domain genomic data from uveal melanoma
• revised version: September 2019
• more information >>

Preprint 41/2019

• Michael Joswig, Marta Panizzut, and Bernd Sturmfels:
• The Schläfli Fan
• more information >>

Preprint 40/2019

• Paul Görlach:
• Injection dimensions of projective varieties
• more information >>

Preprint 39/2019

• Jürgen Jost:
• Biology, Geometry and Information
• more information >>

Preprint 38/2019

• Adam Czapliński, Mateusz Michałek, and Tim Seynnaeve:
• Uniform matrix product states from an algebraic geometer's point of view
• more information >>

Preprint 37/2019

• Miruna-Ştefana Sorea:
• Constructing Separable Arnold Snakes of Morse Polynomials
• more information >>

Preprint 36/2019

• Omri Tal and Tat Dat Tran:
• Adaptive Bet-Hedging Revisited: Considerations of Risk and Time Horizon
• revised version: April 2019
• more information >>

Preprint 35/2019

• Parvaneh Joharinad and Jürgen Jost:
• Topology and curvature of metric spaces
• more information >>

Preprint 34/2019

• Andrei Agrachev, Khazhgali Kozhasov, and André Uschmajew:
• Chebyshev polynomials and best rank-one approximation ratio
• revised version: March 2020
• more information >>

Preprint 33/2019

• Tobias Fritz, Paolo Perrone, and Sharwin Rezagholi:
• Probability, valuations, hyperspaces: Three monads on Top and the support as a morphism
• revised version: October 2019
• more information >>

Preprint 32/2019

• Gunnar Kaib, Kyungkeun Kang, and Angela Stevens:
• Global Minimizers for Anisotropic Attractive-Repulsive Interactions
• revised version: August 2019
• more information >>

Preprint 31/2019

• Jürgen Jost and Jingyong Zhu:
• α-Dirac-harmonic maps from closed surfaces
• more information >>

Preprint 30/2019

• Carlos Beltrán, Paul Breiding, and Nick Vannieuwenhoven:
• The average condition number of most tensor rank decomposition problems is infinite
• more information >>

Preprint 29/2019

• Eliana Maria Duarte Gelvez, Orlando Marigliano, and Bernd Sturmfels:
• Discrete Statistical Models with Rational Maximum Likelihood Estimator
• more information >>

Preprint 28/2019

• Laura Colmenarejo, Francesco Galuppi, and Mateusz Michałek:
• Toric geometry of path signature varieties
• more information >>

Preprint 27/2019

• Sara Kališnik Verovšek, Christian Lehn, and Vlada Limic:
• Geometric and Probabilistic Limit Theorems in Topological Data Analysis
• more information >>

Preprint 26/2019

• Bernd Sturmfels, Caroline Uhler, and Piotr Zwiernik:
• Brownian motion tree models are toric
• more information >>

Preprint 25/2019

• Wilmer Leal and Guillermo Restrepo:
• Formal structure of periodic system of elements
• more information >>

Preprint 24/2019

• Paul Breiding, Bernd Sturmfels, and Sascha Timme:
• 3264 Conics in a Second
• more information >>

Preprint 23/2019

• Sascha Timme:
• Adaptive Step Size Control for Polynomial Homotopy Continuation Methods
• more information >>

Preprint 22/2019

• Xiaofen Huang, Ting-Gui Zhang, Xianqing Li-Jost, Yuan-Hong Tao, and Shao-Ming Fei:
• A Note on the Strong Unitary Uncertainty Relations
• more information >>

Preprint 21/2019

• Zhi-Xiang Jin, Shao-Ming Fei, and Xianqing Li-Jost:
• Generalized entanglement monogamy and polygamy relations for N-qubit systems
• more information >>

Preprint 20/2019

• Ming Li, Zong Wang, Jing Wang, Shu-Qian Shen, and Shao-Ming Fei:
• The norms of Bloch vectors and classification of four qudits quantum states
• more information >>

Preprint 19/2019

• Yao-Kun Wang, Shao-Ming Fei, and Zhi-Xi Wang:
• Dynamics of quantum coherence in Bell-diagonal states under Markovian channels
• more information >>

Preprint 18/2019

• Bin Chen, Long-Mei Yang, Shao-Ming Fei, and Zhi-Xi Wang:
• Tighter weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems
• more information >>

Preprint 17/2019

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

Preprint 16/2019

• Xiao-Bin Liang, Bo Li, and Shao-Ming Fei:
• Comment on ``Optimal convex approximations of quantum states"
• more information >>

Preprint 15/2019

• Xue-Na Zhu and Shao-Ming Fei:
• Monogamy Properties of Qubit Systems
• more information >>

Preprint 14/2019

• Zhi-Xiang Jin and Shao-Ming Fei:
• Finer Distribution of Quantum Correlations among Multiqubit Systems
• more information >>

Preprint 13/2019

• Yonatan Dukler, Wuchen Li, Alex Tong Lin, and Guido Montúfar:
• Wasserstein of Wasserstein Loss for Learning Generative Models
• more information >>

Preprint 12/2019

• Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, Cleophas Kweyu, and Matthias Stein:
• Computing electrostatic potentials using regularization based on the range-separated tensor format
• more information >>

Preprint 11/2019

• Türkü Özlüm Çelik:
• A Thomae-like Formula: Algebraic Computations of Theta Constants
• more information >>

Preprint 10/2019

• Jane Ivy Coons and Seth Sullivant:
• The h∗-polynomial of the order polytope of the zig-zag poset
• more information >>

Preprint 9/2019

• Jun Gao, Zi-Qiang Jiao, Cheng-Qiu Hu, Lu-Feng Qiao, Ruo-Jing Ren, Hao Tang, Zhi-Hao Ma, Shao-Ming Fei, Vlatko Vedral, and Xian-Min Jin:
• Experimental Test of the Relation between Coherence and Path Information
• more information >>

Preprint 8/2019

• Zhi-Xiang Jin, Xianqing Li-Jost, and Shao-Ming Fei:
• Triangle-like inequalities related to coherence and entanglement negativity
• more information >>

Preprint 7/2019

• Long-Mei Yang, Bin Chen, Shao-Ming Fei, and Zhi-Xi Wang:
• Amending coherence-breaking channels via unitary operations
• more information >>

Preprint 6/2019

• Gui-Jun Zhang, Yuan-Hong Tao, Yi-Fan Han, Xin-Lei Yong, and Shao-Ming Fei:
• Unextendible Maximally Entangled Bases in
• more information >>

Preprint 5/2019

• Le-Min Lai, Tao Li, Shao-Ming Fei, and Zhi-Xi Wang:
• Entanglement criterion via general symmetric informationally complete measurements
• more information >>

Preprint 4/2019

• Zhi-Hua Chen, Zhi-Hao Ma, Yunlong Xiao, and Shao-Ming Fei:
• Improved quantum entropic uncertainty relations
• more information >>

Preprint 3/2019

• Quan Quan, Ming-Jing Zhao, Shao-Ming Fei, Heng Fan, and Gui-Lu Long:
• Two-copy Quantum Teleportation
• more information >>

Preprint 2/2019

• Hoang Duc Luu:
• Stability theory for Gaussian rough differential equations. Part II
• revised version: January 2019
• more information >>

Preprint 1/2019

• Hoang Duc Luu:
• Stability theory for Gaussian rough differential equations. Part I.
• revised version: January 2019
• more information >>