Preprint 86/2015

• Paolo Perrone and Nihat Ay:
• Hierarchical Quantification of Synergy in Channels
• more information >>

Preprint 85/2015

• Peter Bella and Arianna Giunti:
• Green's function for elliptic systems: moment bounds
• more information >>

Preprint 84/2015

• Cecilia Flori and Tobias Fritz:
• (Almost) C*-algebras as sheaves with self-action
• revised version: October 2017
• more information >>

Preprint 83/2015

• Enno Keßler and Jürgen Tolksdorf:
• The functional of super Riemann surfaces – a “semi-classical” survey
• more information >>

Preprint 82/2015

• Enno Keßler:
• Super Riemann Surfaces and the Super Conformal Action Functional
• more information >>

Preprint 80/2015

• Jürgen Jost, Chunqin Zhou, and Miaomiao Zhu:
• Vanishing Pohozaev constant and removability of singularities
• more information >>

Preprint 79/2015

• Peter Bella, Eduard Feireisl, Marta Lewicka, and Antonín Novotný:
• A rigorous justification of the Euler and Navier-Stokes equations with geometric effects
• more information >>

Preprint 78/2015

• Peter Bella and Robert V. Kohn:
• The coarsening of folds in hanging drapes
• more information >>

Preprint 77/2015

• Jürgen Jost, Lei Liu, and Miaomiao Zhu:
• Geometric analysis of the action functional of the nonlinear supersymmetric sigma model
• revised version: March 2017
• more information >>

Preprint 76/2015

• Qun Chen, Jürgen Jost, Linlin Sun, and Miaomiao Zhu:
• Dirac-harmonic maps between Riemann surfaces
• more information >>

Preprint 75/2015

• Guido Montúfar and Jason Morton:
• Dimension of Marginals of Kronecker Product Models; Geometry of hidden-visible products of exponential families
• more information >>

Preprint 74/2015

• Nihat Ay and Wolfgang Löhr:
• The Umwelt of an Embodied Agent - A Measure-Theoretic Definition
• more information >>

Preprint 73/2015

• Nihat Ay and Shun-ichi Amari:
• A Novel Approach to Canonical Divergences within Information Geometry
• more information >>

Preprint 72/2015

• Fatihcan M. Atay and Dina Irofti:
• A delayed consensus algorithm in networks of anticipatory agents
• more information >>

Preprint 71/2015

• Rifat Sipahi, Fatihcan M. Atay, and Silviu-Iulian Niculescu:
• Stability analysis of a constant time-headway driving strategy with driver memory effects modeled with distributed delays
• more information >>

Preprint 70/2015

• Leonhard Horstmeyer and Fatihcan M. Atay:
• Characterization of Exact Lumpability of Smooth Dynamics on Manifolds
• more information >>

Preprint 69/2015

• Nihat Ay, Jürgen Jost, Hông Vân Lê, and Lorenz J. Schwachhöfer:
• Parametrized measure models
• more information >>

Preprint 68/2015

• Jürgen Jost:
• Object oriented models vs. data analysis - is this the right alternative?
• more information >>

Preprint 67/2015

• Andreas Kübel:
• Equivariant Differential Cohomology
• more information >>

Preprint 66/2015

• Andreas Kübel:
• Equivariant Characteristic Forms in the Cartan model and Borel equivariant Cohomology
• more information >>

Preprint 65/2015

• Venera Khoromskaia and Boris N. Khoromskij:
• Fast tensor method for summation of long-range potentials on 3D lattices with defects
• revised version: October 2015
• more information >>

Preprint 64/2015

• Fatihcan M. Atay and Lavinia Roncoroni:
• On the regularity of lumped nonlinear dynamics in Banach spaces
• more information >>

Preprint 63/2015

• Boris N. Khoromskij and Sergey Repin:
• A fast iteration method for solving elliptic problems with quasiperiodic coefficients
• more information >>

Preprint 62/2015

• Wolfgang Hackbusch and André Uschmajew:
• On the interconnection between the higher-order singular values of real tensors
• revised version: April 2016
• more information >>

Preprint 61/2015

• Camillo De Lellis, Emanuele Spadaro, and Luca Spolaor:
• Regularity theory for 2-dimensional almost minimal currents III: blowup
• more information >>

Preprint 60/2015

• Camillo De Lellis, Emanuele Spadaro, and Luca Spolaor:
• Regularity theory for 2-dimensional almost minimal currents II: branched center manifold
• more information >>

Preprint 59/2015

• Camillo De Lellis, Emanuele Spadaro, and Luca Spolaor:
• Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation
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Preprint 58/2015

• Camillo De Lellis, Emanuele Spadaro, and Luca Spolaor:
• Uniqueness of tangent cones for 2-dimensional almost minimizing currents
• more information >>

Preprint 57/2015

• Hông Vân Lê and Lorenz J. Schwachhöfer:
• Lagrangian submanifolds in strict nearly Kähler 6-manifolds
• more information >>

Preprint 56/2015

• Eleonora Cinti and Felix Otto:
• Interpolation inequalities in pattern formation
• more information >>

Preprint 55/2015

• Robin Lamarche-Perrin, Sven Banisch, and Eckehard Olbrich:
• The Information Bottleneck Method for Optimal Prediction of Multilevel Agent-based Systems
• more information >>

Preprint 54/2015

• Michael Gransee, Nicola Pinamonti, and Rainer Verch:
• KMS-like Properties of Local Thermal Equilibrium States in Quantum Field Theory
• more information >>

Preprint 53/2015

• Bin Chen and Shao-Ming Fei:
• Sum uncertainty relations for arbitrary N incompatible observables
• more information >>

Preprint 52/2015

• Yan-Ling Wang, Mao-Sheng Li, Zhu-Jun Zheng, and Shao-Ming Fei:
• Nonlocality of orthogonal product basis quantum states
• more information >>

Preprint 51/2015

• Yao-Kun Wang, Shao-Ming Fei, Zhi-Xi Wang, Jun-Peng Cao, and Heng Fan:
• Maximal Holevo quantity based on weak measurements
• more information >>

Preprint 50/2015

• Jun Zhang, Yuan-Hong Tao, Hua Nan, and Shao-Ming Fei:
• Construction of Mutually Unbiased Bases in ℂ^d ⊗ ℂ^2ld′
• more information >>

Preprint 49/2015

• Yao-Kun Wang, Naihuan Jing, Shao-Ming Fei, Zhi-Xi Wang, Jun-Peng Cao, and Heng Fan:
• One-Way Deficit of Two Qubit X States
• more information >>

Preprint 48/2015

• Yuan-Hong Tao, Hua Nan, Jun Zhang, and Shao-Ming Fei:
• Mutually Unbiased Maximally Entangled Bases in ℂ^d ⊗ ℂ^kd
• more information >>

Preprint 47/2015

• Ming Li, Ting-Gui Zhang, Bobo Hua, Shao-Ming Fei, and Xianqing Li-Jost:
• Quantum Nonlocality of Arbitrary Dimensional Bipartite States
• more information >>

Preprint 46/2015

• Stefan Grosskinsky, Daniel Marahrens, and Angela Stevens:
• A Hydrodynamic Limit for Chemotaxis in a Given Heterogeneous Environment
• more information >>

Preprint 45/2015

• Lorenzo Giacomelli, Manuel Gnann, and Felix Otto:
• Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law
• revised version: May 2016
• more information >>

Preprint 44/2015

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

Preprint 43/2015

• Ming-Jing Zhao, Bin Chen, and Shao-Ming Fei:
• Detection of Ideal Resource for Multiqubit Teleportation
• more information >>

Preprint 42/2015

• Bin Chen and Shao-Ming Fei:
• General SIC-Measurement Based Entanglement Detection
• more information >>

Preprint 41/2015

• Bin Chen and Shao-Ming Fei:
• Uncertainty relations based on mutually unbiased measurements
• more information >>

Preprint 40/2015

• Zhi-Hao Ma, Zhi-Hua Chen, Felipe Fernandes Fanchini, and Shao-Ming Fei:
• Quantum Discord for d ⊗ 2 Systems
• more information >>

Preprint 39/2015

• Mao-Sheng Li, Yan-Ling Wang, Shao-Ming Fei, and Zhu-Jun Zheng:
• d locally indistinguishable maximally entangled states in ℂ^d ⊗ ℂ^d
• more information >>

Preprint 38/2015

• Lin Zhang, Junde Wu, and Shao-Ming Fei:
• The Saturation of Several Universal Inequalities in Information-Processing
• more information >>

Preprint 37/2015

• Chang-Pu Sun:
• Objectivity of Quantum Measurement in Many-Observer World
• more information >>

Preprint 36/2015

• Sergey Tikhomirov:
• Quantitative properties of infinite and finite pseudotrajectories
• more information >>

Preprint 35/2015

• Marc Curran, Pavel Gurevich, and Sergey Tikhomirov:
• Recent Advances in Reaction-Diffusion Equations with Non-Ideal Relays
• more information >>

Preprint 34/2015

• Andrea Marchese:
• Residually many BV homeomorphisms map a null set in a set of full measure
• revised version: June 2015
• more information >>

Preprint 33/2015

• Tim Bastian Laux and Felix Otto:
• Convergence of the thresholding scheme for multi-phase mean-curvature flow
• more information >>

Preprint 32/2015

• Peter Benner, Venera Khoromskaia, and Boris N. Khoromskij:
• A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations
• more information >>

Preprint 31/2015

• Felix Otto and Hendrik Weber:
• Hölder regularity for a non-linear parabolic equation driven by space-time white noise
• more information >>

Preprint 30/2015

• Qun Chen, Jürgen Jost, Linlin Sun, and Miaomiao Zhu:
• Dirac-geodesics and their heat flows
• more information >>

Preprint 29/2015

• Tat Dat Tran, Julian Hofrichter, and Jürgen Jost:
• The free energy method for the Fokker-Planck equation of the Wright-Fisher model
• more information >>

Preprint 28/2015

• Tat Dat Tran, Julian Hofrichter, and Jürgen Jost:
• The free energy method and the Wright-Fisher model with 2 alleles
• more information >>

Preprint 27/2015

• Elias Esselborn:
• Relaxation rates for a perturbation of a stationary solution to the thin-film equation
• more information >>

Preprint 26/2015

• Frank Bauer, Bobo Hua, Jürgen Jost, and Shiping Liu:
• Generalized Ricci curvature and the geometry of graphs
• more information >>

Preprint 25/2015

• Pavel Gurevich and Sergey Tikhomirov:
• Spatially discrete reaction-diffusion equations with discontinuous hysteresis
• more information >>

Preprint 24/2015

• Michael Goldman, Marc Josien, and Felix Otto:
• New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations
• more information >>

Preprint 23/2015

• Guido Montúfar:
• Universal Approximation of Markov Kernels by Shallow Stochastic Feedforward Networks
• more information >>

Preprint 22/2015

• Guido Montúfar and Johannes Rauh:
• Mode Poset Probability Polytopes
• more information >>

Preprint 21/2015

• Keyan Ghazi-Zahedi and Johannes Rauh:
• Quantifying Morphological Computation based on an Information Decomposition of the Sensorimotor Loop
• more information >>

Preprint 20/2015

• Michael Gransee:
• Local Thermal Equilibrium States in Quantum Field Theory
• revised version: June 2015
• more information >>

Preprint 19/2015

• Venera Khoromskaia and Boris N. Khoromskij:
• Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States
• revised version: April 2015
• more information >>

Preprint 18/2015

• Leiba Rodman, Ilya M. Spitkovsky, Arleta Szkola, and Stephan Weis:
• Continuity of the maximum-entropy inference: convex geometry and numerical ranges approach
• more information >>

Preprint 17/2015

• Luca Mugnai, Christian Seis, and Emanuele Spadaro:
• Global solutions to the volume-preserving mean-curvature flow
• more information >>

Preprint 16/2015

• Matteo Focardi and Emanuele Spadaro:
• An epiperimetric inequality for the thin obstacle problem
• more information >>

Preprint 15/2015

• Kyungkeun Kang and Angela Stevens:
• Blowup and Global Solutions in a Chemotaxis-Growth System
• more information >>

Preprint 14/2015

• Lukas Döring, Claudia Hengst, Felix Otto, and Rudolf Schäfer:
• Interacting tails of asymmetric domain walls – theory and experiments
• more information >>

Preprint 13/2015

• Daniel Marahrens and Felix Otto:
• On annealed elliptic Green function estimates
• more information >>

Preprint 12/2015

• Antoine Gloria and Felix Otto:
• Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
• more information >>

Preprint 11/2015

• Jean-Christophe Mourrat and Felix Otto:
• Correlation structure of the corrector in stochastic homogenization
• more information >>

Preprint 10/2015

• Pierre Baudot and Daniel Bennequin:
• The homological nature of entropy
• revised version: May 2015
• more information >>

Preprint 9/2015

• Elias Esselborn, Nicola Gigli, and Felix Otto:
• Algebraic contraction rate for distance between entropy solutions of scalar conservation laws
• more information >>

Preprint 8/2015

• Yunlong Xiao, Tao Li, Shao-Ming Fei, Xianqing Li-Jost, Naihuan Jing, and Zhi-Xi Wang:
• Geometric Global Quantum Discord of Arbitrarily Two-qubit States
• more information >>

Preprint 7/2015

• Shao-Ming Fei:
• From Quantum Discord and Quantum Entanglement to Local Hidden Variable Models
• more information >>

Preprint 6/2015

• Tao Li, Teng Ma, Yao-Kun Wang, Shao-Ming Fei, and Zhi-Xi Wang:
• Super quantum discord for two-qubit X-type states
• revised version: August 2015
• more information >>

Preprint 5/2015

• Wolfgang Hackbusch:
• Solution of linear systems in high spatial dimensions
• more information >>

Preprint 4/2015

• Oliver Pfante and Nihat Ay:
• Operator-theoretic identification of closed sub-systems of dynamical systems
• more information >>

Preprint 3/2015

• Oliver Pfante and Jürgen Jost:
• Non-generating Partitions of Unimodular Maps
• more information >>

Preprint 2/2015

• Michael Dütsch:
• Massive vector bosons: is the geometrical interpretation as a spontaneously broken gauge theory possible at all scales?
• more information >>

Preprint 1/2015

• Lukas Döring and Radu Ignat:
• Asymmetric domain walls of small angle in soft ferromagnetic films
• more information >>