Preprint 117/2014

• Wenlian Lu and Fatihcan M. Atay:
• Local pinning of networks of multi-agent systems with transmission and pinning delays
• revised version: October 2015
• more information >>

Preprint 116/2014

• Antoine Choffrut, Camilla Nobili, and Felix Otto:
• Upper bounds on Nusselt number at finite Prandtl number
• more information >>

Preprint 115/2014

• Jürgen Jost, Enno Keßler, and Jürgen Tolksdorf:
• Super Riemann surfaces, metrics, and gravitinos
• revised version: December 2015
• more information >>

Preprint 114/2014

• Fatihcan M. Atay and Bobo Hua:
• On the symmetry of the Laplacian spectra of signed graphs
• revised version: November 2014
• more information >>

Preprint 113/2014

• Guido Montúfar:
• Deep Narrow Boltzmann Machines are Universal Approximators
• more information >>

Preprint 112/2014

• Pierre Baudot and Daniel Bennequin:
• Topological forms of information.
• more information >>

Preprint 111/2014

• Fatihcan M. Atay and Shiping Liu:
• Cheeger constants, structural balance, and spectral clustering analysis for signed graphs
• more information >>

Preprint 110/2014

• Fatihcan M. Atay:
• On the duality between consensus problems and Markov processes, with application to delay systems
• more information >>

Preprint 109/2014

• Nirmal Punetha, Sangeeta Ujjwal, Fatihcan M. Atay, and Ramakrishna Ramaswamy:
• Delay-induced remote synchronization in bipartite networks of phase oscillators
• more information >>

Preprint 108/2014

• Boris N. Khoromskij:
• Tensor Numerical Methods for Multidimensional PDEs: Theoretical Analysis and Initial Applications
• more information >>

Preprint 107/2014

• Sergey Tikhomirov:
• Shadowing in linear skew product
• more information >>

Preprint 106/2014

• Guido Montúfar and Jason Morton:
• Discrete Restricted Boltzmann Machines
• more information >>

Preprint 105/2014

• Robin Lamarche-Perrin, Yves Demazeau, and Jean-Marc Vincent:
• A Generic Algorithmic Framework to Solve Special Versions of the Set Partitioning Problem
• revised version: October 2014
• more information >>

Preprint 104/2014

• Bobo Hua, Ting-Gui Zhang, Chunqin Zhou, Xianqing Li-Jost, and Shao-Ming Fei:
• Towards Grothendieck Constants and LHV Models in Quantum Mechanics
• more information >>

Preprint 103/2014

• Tao Li, Teng Ma, Yao-Kun Wang, Shao-Ming Fei, and Zhi-Xi Wang:
• Super quantum discord for two-qubit X-type states and the dynamics under nondissipative channels
• more information >>

Preprint 102/2014

• Yan-Ling Wang, Mao-Sheng Li, Shao-Ming Fei, and Zhu-Jun Zheng:
• Local unitary equivalence of multipartite pure states
• more information >>

Preprint 101/2014

• Yan-Ling Wang, Mao-Sheng Li, and Shao-Ming Fei:
• Unextendible maximally entangled bases in ℂ^d ⊗ ℂ^d
• more information >>

Preprint 100/2014

• Peter Bella and Felix Otto:
• Corrector estimates for elliptic systems with random periodic coefficients
• more information >>

Preprint 99/2014

• Thomas Efer, Gerhard Heyer, and Jürgen Jost:
• Text Mining am Beispiel der Dramen Shakespeares. Welche neuen Erkenntnisse können moderne formale Methoden liefern?
• more information >>

Preprint 98/2014

• Guido Montúfar and Jason Morton:
• When Does a Mixture of Products Contain a Product of Mixtures?
• more information >>

Preprint 97/2014

• Jing Wang, Ming Li, Shao-Ming Fei, and Xianqing Li-Jost:
• Local Unitary Invariants for Multipartite Quantum Systems
• more information >>

Preprint 96/2014

• Halqem Nizamidin, Teng Ma, and Shao-Ming Fei:
• A Note on Mutually Unbiased Unextendible Maximally Entangled Bases in ℂ² ⊗ ℂ³
• more information >>

Preprint 95/2014

• Zhi-Hao Ma, Zhi-Hua Chen, and Shao-Ming Fei:
• Genuine Multipartite Entanglement of Superpositions
• more information >>

Preprint 94/2014

• Teng Ma, Ming-Jing Zhao, Yao-Kun Wang, and Shao-Ming Fei:
• Non-commutativity and Local Indistinguishability of Quantum States
• more information >>

Preprint 93/2014

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

Preprint 91/2014

• Matteo Focardi, Andrea Marchese, and Emanuele Spadaro:
• Improved estimate of the singular set of Dir-minimizing Q-valued functions
• more information >>

Preprint 90/2014

• Jürgen Jost, Yi-Hu Yang, and Kang Zuo:
• Harmonic maps and singularities of period mappings
• more information >>

Preprint 89/2014

• Bernd Kirchheim, Emanuele Spadaro, and László Székelyhidi:
• Equidimensional isometric maps
• more information >>

Preprint 88/2014

• Venera Khoromskaia and Boris N. Khoromskij:
• Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects
• revised version: October 2014
• more information >>

Preprint 87/2014

• Guido Montúfar, Johannes Rauh, and Nihat Ay:
• On the Fisher Metric of Conditional Probability Polytopes
• more information >>

Preprint 86/2014

• Tyll Krüger, Guido Montúfar, Ruedi Seiler, and Rainer Siegmund-Schultze:
• Sequential Recurrence-Based Multidimensional Universal Source Coding of Lempel-Ziv Type
• more information >>

Preprint 85/2014

• Yao-Kun Wang, Teng Ma, Shao-Ming Fei, and Zhi-Xi Wang:
• One-way deficit of SU(2) invariant states
• more information >>

Preprint 84/2014

• Bin Chen, Teng Ma, and Shao-Ming Fei:
• Entanglement Detection Using Mutually Unbiased Measurements
• more information >>

Preprint 83/2014

• Ming Li, Ting-Gui Zhang, Shao-Ming Fei, Xianqing Li-Jost, and Naihuan Jing:
• Local Unitary Equivalence of Multi-qubit Mixed Quantum States
• more information >>

Preprint 82/2014

• Hui Zhao, Shao-Ming Fei, Zhi-Xi Wang, and Jiao Fan:
• Inequality detecting entanglement for arbitrary bipartite systems
• more information >>

Preprint 81/2014

• Naihuan Jing, Ming Li, Xianqing Li-Jost, Ting-Gui Zhang, and Shao-Ming Fei:
• SLOCC Invariants for Multipartite Mixed States
• more information >>

Preprint 80/2014

• Christian S. Rodrigues, Aleksei V. Chechkin, Alessandro P.S. de Moura, Celso Grebogi, and Rainer Klages:
• Diffusion in randomly perturbed dissipative dynamics
• more information >>

Preprint 79/2014

• Qun Chen, Jürgen Jost, Linlin Sun, and Miaomiao Zhu:
• Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem
• revised version: November 2015
• more information >>

Preprint 78/2014

• Giovanni Alberti and Andrea Marchese:
• On the differentiability of Lipschitz functions with respect to measures in the Euclidean space
• more information >>

Preprint 77/2014

• Manuel Gnann:
• Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
• revised version: February 2016
• more information >>

Preprint 76/2014

• Andrea Marchese and Annalisa Massaccesi:
• An optimal irrigation network with infinitely many branching points
• revised version: August 2014
• more information >>

Preprint 75/2014

• Qun Chen, Jürgen Jost, and Hongbing Qiu:
• Existence and Liouville theorems for V-harmonic maps from complete manifolds
• more information >>

Preprint 74/2014

• Guido Montúfar:
• Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units
• more information >>

Preprint 73/2014

• Guido Montúfar, Razvan Pascanu, Kyunghyun Cho, and Yoshua Bengio:
• On the Number of Linear Regions of Deep Neural Networks
• more information >>

Preprint 72/2014

• Razvan Pascanu, Guido Montúfar, and Yoshua Bengio:
• On the number of response regions of deep feedforward networks with piecewise linear activations
• more information >>

Preprint 71/2014

• Jonathan Ben-Artzi, Daniel Marahrens, and Stefan Neukamm:
• Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
• revised version: September 2014
• more information >>

Preprint 70/2014

• Guido Montúfar, Keyan Ghazi-Zahedi, and Nihat Ay:
• A Theory of Cheap Control in Embodied Systems
• revised version: November 2014
• more information >>

Preprint 69/2014

• Areejit Samal and Olivier Martin:
• Statistical physics methods provide the exact solution to a long-standing problem of genetics
• revised version: June 2015
• more information >>

Preprint 68/2014

• Qun Chen, Jürgen Jost, and Guofang Wang:
• A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry
• more information >>

Preprint 67/2014

• Qun Chen, Jürgen Jost, and Hongbing Qiu:
• Omori-Yau maximum principles, V-harmonic maps and their geometric applications
• more information >>

Preprint 66/2014

• Qun Chen, Jürgen Jost, and Linlin Sun:
• Gradient Estimates and Liouville Theorems for Dirac-harmonic maps
• more information >>

Preprint 65/2014

• Emil Saucan:
• Metric Curvature Revisited - A Brief Overview
• revised version: October 2016
• more information >>

Preprint 64/2014

• Julian Hofrichter, Tat Dat Tran, and Jürgen Jost:
• The uniqueness of hierarchically extended backward solutions of the Wright–Fisher model
• more information >>

Preprint 63/2014

• Agnes Lamacz, Stefan Neukamm, and Felix Otto:
• Moment bounds for the corrector in stochastic homogenization of a percolation model
• more information >>

Preprint 62/2014

• Venera Khoromskaia and Boris N. Khoromskij:
• Tensor Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems
• revised version: August 2014
• more information >>

Preprint 61/2014

• Julian Hofrichter, Tat Dat Tran, and Jürgen Jost:
• A hierarchical extension scheme for solutions of the Wright–Fisher model
• more information >>

Preprint 60/2014

• Julian Hofrichter, Tat Dat Tran, and Jürgen Jost:
• A hierarchical extension scheme for backward solutions of the Wright–Fisher model
• more information >>

Preprint 59/2014

• Sergey Dolgov, Boris N. Khoromskij, Alexander Litvinenko, and Hermann G. Matthies:
• Computation of the Response Surface in the Tensor Train data format
• more information >>

Preprint 58/2014

• Stephan Weis, Andreas Knauf, Nihat Ay, and Ming-Jing Zhao:
• Maximizing the divergence from a hierarchical model of quantum states
• more information >>

Preprint 57/2014

• Miroslav Bačák, Bobo Hua, Jürgen Jost, Martin Kell, and Armin Schikorra:
• A notion of nonpositive curvature for general metric spaces
• more information >>

Preprint 56/2014

• Antonio Falcó, Wolfgang Hackbusch, and Anthony Nouy:
• Geometric Structures in Tensor Representations (Release 2)
• revised version: July 2014
• more information >>

Preprint 55/2014

• Miroslav Bačák and Simeon Reich:
• The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
• more information >>

Preprint 54/2014

• Guohuan Qiu and Chao Xia:
• A generalization of Reilly's formula and its applications to a new Heintze-Karcher type inequality
• revised version: May 2014
• more information >>

Preprint 53/2014

• Erik Fuchs:
• Costratification in terms of coherent states
• more information >>

Preprint 52/2014

• Johannes Cuno and Jörg Lehnert:
• The Tits alternative for non-spherical triangles of groups
• more information >>

Preprint 50/2014

• Sergey Repin:
• Estimates of the Distance to the Set of Divergence Free Fields and Applications to Quantitative Analysis of Incompressible Fluids
• more information >>

Preprint 49/2014

• Nikolaj Georgi, Yurij Budkov, Gennady Chuev, Ivan Vyalov, Michael Kiselev, and Andrey Kolesnikov:
• On conformational behavior of solvophobic polymer at high pressures
• more information >>

Preprint 48/2014

• Shaobo Gan, Ming Li, and Sergey Tikhomirov:
• Oriented shadowing property and Ω-stability for vector fields
• more information >>

Preprint 47/2014

• Peter Bella:
• Transition between planar and wrinkled regions in uniaxially stretched thin elastic film
• more information >>

Preprint 46/2014

• Peter Bella, Eduard Feireisl, Bum Ja Jin, and Antonín Novotný:
• Robustness of strong solutions to the compressible Navier-Stokes system
• more information >>

Preprint 43/2014

• Sergey Tikhomirov:
• An example of a vector field with the oriented shadowing property
• more information >>

Preprint 42/2014

• Philippe Logaritsch and Andrea Marchese:
• Kirszbraun's extension theorem fails for Almgren's multiple valued functions
• revised version: March 2014
• more information >>

Preprint 41/2014

• Tat Dat Tran, Julian Hofrichter, and Jürgen Jost:
• The evolution of moment generating functions for the Wright-Fisher model of population genetics
• more information >>

Preprint 40/2014

• Tat Dat Tran, Julian Hofrichter, and Jürgen Jost:
• A general solution of the Wright-Fisher model of random genetic drift
• more information >>

Preprint 39/2014

• Tat Dat Tran, Julian Hofrichter, and Jürgen Jost:
• An introduction to the mathematical structure of the Wright–Fisher model of population genetics
• more information >>

Preprint 38/2014

• Lorenzo Taggi:
• Critical Probabilities and Convergence Time of Stavskaya's Probabilistic Cellular Automata
• more information >>

Preprint 37/2014

• Lorenzo Taggi:
• Upper Bound for the Critical Density of Biased Activated Random Walk
• revised version: March 2014
• more information >>

Preprint 36/2014

• Nikolaj Georgi, Yurij Budkov, Andrey Kolesnikov, and Michael Kiselev:
• A Statistical Theory of co-solvent-induced coil-globule transitions in dilute polymer solution
• more information >>

Preprint 35/2014

• Armin Schikorra:
• Lp-gradient harmonic maps into spheres and SO(N)
• more information >>

Preprint 34/2014

• Wolfgang Hackbusch:
• New Estimates for the Recursive Low-Rank Truncation
• revised version: September 2014
• more information >>

Preprint 33/2014

• Nhân Phú Chung and Guohua Zhang:
• Weak Expansiveness for Actions of Sofic Groups
• more information >>

Preprint 32/2014

• Peter Bella, Michael Goldman, and Barbara Zwicknagl:
• Study of island formation in epitaxially strained films on unbounded domains
• revised version: September 2014
• more information >>

Preprint 31/2014

• Jiao Gu, Bobo Hua, and Shiping Liu:
• Spectral distances on graphs
• more information >>

Preprint 30/2014

• Jiri Fiala, Jan Hubicka, and Yangjing Long:
• Universality of intervals of line graph order
• more information >>

Preprint 29/2014

• Georgy Kitavtsev, Stephan Luckhaus, and Angkana Rüland:
• Surface Energies Arising in Microscopic Modeling of Martensitic Transformations
• more information >>

Preprint 28/2014

• Wiktor Młynarski and Jürgen Jost:
• Natural statistics of binaural sounds
• more information >>

Preprint 27/2014

• Qi Ding, Jürgen Jost, and Yuanlong Xin:
• Minimal graphic functions on manifolds of non-negative Ricci curvature
• revised version: February 2014
• more information >>

Preprint 26/2014

• Qi Ding, Jürgen Jost, and Yuanlong Xin:
• Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature
• more information >>

Preprint 25/2014

• Bobo Hua, Martin Kell, and Chao Xia:
• Harmonic functions on metric measure spaces
• more information >>

Preprint 24/2014

• Yuxin Ge, Guofang Wang, Jie Wu, and Chao Xia:
• A Penrose inequality for graphs over Kottler space
• more information >>

Preprint 23/2014

• Bobo Hua, Shiping Liu, and Chao Xia:
• Liouville theorems for f-harmonic maps into Hadamard spaces
• more information >>

Preprint 22/2014

• Bobo Hua and Chao Xia:
• A note on local gradient estimate on Alexandrov spaces
• more information >>

Preprint 21/2014

• Guofang Wang and Chao Xia:
• Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
• more information >>

Preprint 20/2014

• Jie Wu and Chao Xia:
• On Rigidity of hypersurfaces with constant curvature functions in warped product manifolds
• more information >>

Preprint 19/2014

• Katarina Bellova and Fanghua Lin:
• Nodal Sets of Steklov Eigenfunctions
• more information >>

Preprint 18/2014

• Chao Xia:
• Local gradient estimate for harmonic functions on Finsler manifolds
• more information >>

Preprint 17/2014

• Jürgen Tolksdorf:
• Dynamical torsion in view of a distinguished class of Dirac operators
• more information >>

Preprint 16/2014

• Guido Montúfar, Nihat Ay, and Keyan Ghazi-Zahedi:
• Expressive Power of Conditional Restricted Boltzmann Machines
• revised version: July 2014
• more information >>

Preprint 15/2014

• Ming Li, Jing Wang, Shao-Ming Fei, and Xianqing Li-Jost:
• Quantum Separability Criteria for Arbitrary Dimensional Multipartite States
• more information >>

Preprint 14/2014

• Xue-Na Zhu and Shao-Ming Fei:
• Lower Bound of Concurrence for Qubit Systems
• more information >>

Preprint 13/2014

• Maryna Kachanovska:
• Hierarchical matrices and the High-Frequency Fast Multipole Method for the Helmholtz Equation with Decay
• revised version: March 2014
• more information >>

Preprint 12/2014

• Sergey Tikhomirov and Alexey Osipov:
• Shadowing for actions of some finitely generated groups.
• more information >>

Preprint 11/2014

• Yao-Kun Wang, Teng Ma, Heng Fan, Shao-Ming Fei, and Zhi-Xi Wang:
• Super quantum correlation and geometry for Bell-diagonal states with weak measurements
• more information >>

Preprint 10/2014

• Lin Zhang and Shao-Ming Fei:
• Quantum fidelity and relative entropy between unitary orbits
• more information >>

Preprint 9/2014

• Bin Li, Zuhuan Yu, and Shao-Ming Fei:
• Geometry of Quantum Computation with Qutrits
• more information >>

Preprint 8/2014

• Bin Chen and Shao-Ming Fei:
• Unextendible maximally entangled bases and mutually unbiased bases
• more information >>

Preprint 7/2014

• Felix Finster and Jürgen Tolksdorf:
• Perturbative description of the fermionic projector: normalization, causality and Furry's theorem
• more information >>

Preprint 6/2014

• Armin Schikorra:
• Integro-differential harmonic maps into spheres
• more information >>

Preprint 5/2014

• Ronald Kriemann:
• ℋ-LU Factorization on Many-Core Systems
• revised version: November 2014
• more information >>

Preprint 4/2014

• Michael Dütsch:
• The scaling and mass expansion
• more information >>

Preprint 3/2014

• Wiktor Młynarski:
• Sparse, complex-valued representations of natural sounds learned with phase and amplitude continuity priors
• revised version: February 2014
• more information >>

Preprint 2/2014

• Arnaud Debussche, Sylvain De Moor, and Martina Hofmanová:
• A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type
• more information >>

Preprint 1/2014

• Lorenzo Giacomelli, Manuel Gnann, Hans Knüpfer, and Felix Otto:
• Well-posedness for the Navier-Slip Thin-Film Equation in the Case of Complete Wetting
• revised version: January 2014
• more information >>