p7math-ph

Category

math-ph

129 papers

An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model

Erwin Bolthausen

1201.2891

On bipartite unitary matrices generating subalgebra-preserving quantum operations

Tristan Benoist, Ion Nechita

1608.05811

Composite parameterization and Haar measure for all unitary and special unitary groups

Christoph Spengler, Marcus Huber, Beatrix C. Hiesmayr

1103.3408

Introducing categories to the practicing physicist

Bob Coecke

0808.1032

Scaling Limits of Wide Neural Networks with Weight Sharing: Gaussian Process Behavior, Gradient Independence, and Neural Tangent Kernel Derivation

Greg Yang

1902.04760

Global and Local Uncertainty Principles for Signals on Graphs

Nathanael Perraudin, Benjamin Ricaud, David Shuman, Pierre Vandergheynst

1603.03030

The Isotropic Semicircle Law and Deformation of Wigner Matrices

Antti Knowles, Jun Yin

1110.6449

Eigenvector Distribution of Wigner Matrices

Antti Knowles, Jun Yin

1102.0057

Limits of spiked random matrices I

Alex Bloemendal, Bálint Virág

1011.1877

Spectral statistics of Erdős-Rényi graphs I: Local semicircle law

László Erdős, Antti Knowles, Horng-Tzer Yau, Jun Yin

1103.1919

Spectral Statistics of Erd{\H o}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

Laszlo Erdos, Antti Knowles, Horng-Tzer Yau, Jun Yin

1103.3869

Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices

Alex Bloemendal, Laszlo Erdos, Antti Knowles, Horng-Tzer Yau, Jun Yin

1308.5729

The Local Semicircle Law for a General Class of Random Matrices

Laszlo Erdos, Antti Knowles, Horng-Tzer Yau, Jun Yin

1212.0164

Products of Many Large Random Matrices and Gradients in Deep Neural Networks

Boris Hanin, Mihai Nica

1812.05994

Langevin dynamics with space-time periodic nonequilibrium forcing

R. Joubaud, G. Pavliotis, G. Stoltz

1403.1883

Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie--Weiss model

Sourav Chatterjee, Qi-Man Shao

0907.4450

The Birkhoff theorem for unitary matrices of prime dimension

Alexis De Vos, Stijn De Baerdemacker

1509.08626

Local Circular Law for Random Matrices

Paul Bourgade, Horng-Tzer Yau, Jun Yin

1206.1449

Stochastic Block Models and Reconstruction

Elchanan Mossel, Joe Neeman, Allan Sly

1202.1499

Universality of Wigner random matrices: a Survey of Recent Results

Laszlo Erdos

1004.0861

Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices

Claudio Cacciapuoti, Anna Maltsev, Benjamin Schlein

1206.1730

On Bernoulli Decompositions for Random Variables, Concentration Bounds, and Spectral Localization

Michael Aizenman, Francois Germinet, Abel Klein, Simone Warzel

0707.0095

Delocalization and Diffusion Profile for Random Band Matrices

Laszlo Erdos, Antti Knowles, Horng-Tzer Yau, Jun Yin

1205.5669

Averaging Fluctuations in Resolvents of Random Band Matrices

Laszlo Erdos, Antti Knowles, Horng-Tzer Yau

1205.5664

On the principal components of sample covariance matrices

Alex Bloemendal, Antti Knowles, Horng-Tzer Yau, Jun Yin

1404.0788

Scaling a unitary matrix

Alexis De Vos, Stijn De Baerdemacker

1401.7883

Sinkhorn normal form for unitary matrices

Martin Idel, Michael M. Wolf

1408.5728

Pathwise Accuracy and Ergodicity of Metropolized Integrators for SDEs

Nawaf Bou-Rabee, Eric Vanden-Eijnden

0905.4218

On some classes of bipartite unitary operators

Julien Deschamps, Ion Nechita, Clement Pellegrini

1509.06543

Large Time Behaviour and Convergence Rate for Non Demolition Quantum Trajectories

Tristan Benoist, Clement Pellegrini

1306.1430

Bulk universality for generalized Wigner matrices

Laszlo Erdos, Horng-Tzer Yau, Jun Yin

1001.3453

Universality of Random Matrices and Local Relaxation Flow

Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau

0907.5605

Rigidity of Eigenvalues of Generalized Wigner Matrices

Laszlo Erdos, Horng-Tzer Yau, Jun Yin

1007.4652

The local relaxation flow approach to universality of the local statistics for random matrices

Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau, Jun Yin

0911.3687

Universality for generalized Wigner matrices with Bernoulli distribution

László Erdos, Horng-Tzer Yau, Jun Yin

1003.3813

Bulk Universality for Wigner Matrices

Laszlo Erdos, Sandrine Peche, Jose A. Ramirez, Benjamin Schlein, Horng-Tzer Yau

0905.4176

Invariants for maximally entangled vectors and unitary bases

Sibasish Ghosh, Ajit Iqbal Singh

1401.0099

Quantum Tomography under Prior Information

Teiko Heinosaari, Luca Mazzarella, Michael M. Wolf

1109.5478

All Mutually Unbiased Bases in Dimensions Two to Five

Stephen Brierley, Stefan Weigert, Ingemar Bengtsson

0907.4097

Mutually Unbiased Bases and Semi-definite Programming

Stephen Brierley, Stefan Weigert

1006.0093

A gap for the maximum number of mutually unbiased bases

Mihály Weiner

0902.0635

Threeparameter complex Hadamard matrices of order 6

Bengt R. Karlsson

1003.4177

Quasi-orthogonal subalgebras of matrix algebras

Hiromichi Ohno

0801.1353

Supersymmetric Quantum Mechanics

David J. Fernandez C

0910.0192

Bulk universality for Wigner hermitian matrices with subexponential decay

Laszlo Erdos, Jose Ramirez, Benjamin Schlein, Terence Tao, Van Vu, Horng-Tzer Yau

0906.4400

Gibbs Measures and Phase Transitions on Sparse Random Graphs

Amir Dembo, Andrea Montanari

0910.5460

Quantum Picturalism

Bob Coecke

0908.1787

Proof of the satisfiability conjecture for large k

Jian Ding, Allan Sly, Nike Sun

1411.0650

Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model

Laszlo Erdos, Antti Knowles

1002.1695

Tensor Programs I: Wide Feedforward or Recurrent Neural Networks of Any Architecture are Gaussian Processes

Greg Yang

1910.12478

Stein's method and the multivariate CLT for traces of powers on the classical compact groups

Christian Döbler, Michael Stolz

1012.3730

Current fluctuations for TASEP: A proof of the Prähofer--Spohn conjecture

Gérard Ben Arous, Ivan Corwin

0905.2993

Performance of Bayesian linear regression in a model with mismatch

Jean Barbier, Wei-Kuo Chen, Dmitry Panchenko, Manuel Sáenz

2107.06936

Universality of local spectral statistics of random matrices

Laszlo Erdos, Horng-Tzer Yau

1106.4986

From Integrable to Chaotic Systems: Universal Local Statistics of Lyapunov exponents

Gernot Akemann, Zdzislaw Burda, Mario Kieburg

1809.05905

Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation

Laszlo Erdos, Jose A. Ramirez, Benjamin Schlein, Horng-Tzer Yau

0905.2089

Absolute Uniqueness of Phase Retrieval with Random Illumination

Albert Fannjiang

1110.5097

Satisfiability threshold for random regular NAE-SAT

Jian Ding, Allan Sly, Nike Sun

1310.4784

Random matrix model with external source and a constrained vector equilibrium problem

Pavel Bleher, Steven Delvaux, Arno B. J. Kuijlaars

1001.1238

The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source, part I

Dong Wang

1012.4144

Anderson localization for a supersymmetric sigma model

Margherita Disertori, Tom Spencer

0910.3325

Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices

László Erdős, Benjamin Schlein, Horng-Tzer Yau

0711.1730

The spectral edge of some random band matrices

Sasha Sodin

0906.4047

Corrections to Einstein's relation for Brownian motion in a tilted periodic potential

J. C. Latorre, G. A. Pavliotis, P. R. Kramer

1208.2150

Limits of spiked random matrices II

Alex Bloemendal, Bálint Virág

1109.3704

Lectures on the local semicircle law for Wigner matrices

Florent Benaych-Georges, Antti Knowles

1601.04055

On the largest eigenvalue of a Hermitian random matrix model with spiked external source I. Rank one case

Jinho Baik, Dong Wang

1010.4604

Universality in Chaos: Lyapunov Spectrum and Random Matrix Theory

Masanori Hanada, Hidehiko Shimada, Masaki Tezuka

1702.06935

Quantum Diffusion and Delocalization for Band Matrices with General Distribution

Laszlo Erdos, Antti Knowles

1005.1838

Bulk Universality of General $β$-Ensembles with Non-convex Potential

Paul Bourgade, Laszlo Erdos, Horng-Tzer Yau

1201.2283

A Fredholm Determinant Representation in ASEP

Craig A. Tracy, Harold Widom

0804.1379

Two speed TASEP

Alexei Borodin, Patrik L. Ferrari, Tomohiro Sasamoto

0904.4655

Fluctuation Relations for Diffusion Processes

Raphael Chetrite, Krzysztof Gawedzki

0707.2725

Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information

Michael Walter, Brent Doran, David Gross, Matthias Christandl

1208.0365

Kac-Rice fixed point analysis for single- and multi-layered complex systems

J. R. Ipsen, P. J. Forrester

1807.05790

Local semicircle law for random regular graphs

Roland Bauerschmidt, Antti Knowles, Horng-Tzer Yau

1503.08702

On ASEP with Step Bernoulli Initial Condition

Craig A. Tracy, Harold Widom

0907.5192

Membership in moment polytopes is in NP and coNP

Peter Bürgisser, Matthias Christandl, Ketan D. Mulmuley, Michael Walter

1511.03675

Exponential number of equilibria and depinning threshold for a directed polymer in a random potential

Yan V Fyodorov, Pierre Le Doussal, Alberto Rosso, Christophe Texier

1703.10066

Introduction to Random Matrices - Theory and Practice

Giacomo Livan, Marcel Novaes, Pierpaolo Vivo

1712.07903

Probability densities and distributions for spiked and general variance Wishart $β$-ensembles

Peter J. Forrester

1101.2261

Complex Obtuse Random Walks and their Continuous-Time Limits

S. Attal, J. Deschamps, C. Pellegrini

1312.3731

Eigenvector localization for random band matrices with power law band width

Jeffrey Schenker

0809.4405

Generalizations of Pauli channels

Denes Petz, Hiromichi Ohno

0812.2668

Products of independent elliptic random matrices

Sean O'Rourke, David Renfrew, Alexander Soshnikov, Van Vu

1403.6080

Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula

Jean Barbier, Mohamad Dia, Nicolas Macris, Florent Krzakala, Thibault Lesieur, Lenka Zdeborova

1606.04142

Higher Order Decompositions of Ordered Operator Exponentials

Nathan Wiebe, Dominic W. Berry, Peter Hoyer, Barry C. Sanders

0812.0562

Transformations of polynomial ensembles

Arno B. J. Kuijlaars

1501.05506

Anisotropic local laws for random matrices

Antti Knowles, Jun Yin

1410.3516

Isotropic Brownian motions over complex fields as a solvable model for May-Wigner stability analysis

J. R. Ipsen, H. Schomerus

1602.06364

On the largest eigenvalue of a Hermitian random matrix model with spiked external source II. Higher rank cases

Jinho Baik, Dong Wang

1104.2915

Inequalities for Moment Cones of Finite-Dimensional Representations

Michèle Vergne, Michael Walter

1410.8144

Asymptotic evaluation of bosonic probability amplitudes in linear unitary networks in the case of large number of bosons

V. S. Shchesnovich

1304.6675

Nonlinear Analogue of the May-Wigner Instability Transition

Yan V. Fyodorov, Boris A. Khoruzhenko

1509.05737

Electromagnetic vacuum energy for two parallel slabs in terms of surface, wave guide and photonic modes

M. Bordag

1111.6356

Calculus of continuous matrix product states

Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Frank Verstraete

1211.3935

Extended Probabilities: Mathematical Foundations

Mark Burgin

0912.4767

Recoupling coefficients and quantum entropies

Matthias Christandl, Mehmet Burak Şahinoğlu, Michael Walter

1210.0463

Projective Ring Line of a Specific Qudit

Hans Havlicek, Metod Saniga

0708.4333

A Continuity Theorem for Stinespring's Dilation

Dennis Kretschmann, Dirk Schlingemann, Reinhard F. Werner

0710.2495

Convergence of local statistics of Dyson Brownian motion

Benjamin Landon, Horng-Tzer Yau

1504.03605

On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry

Yan V Fyodorov

1710.04699

Iterated Stochastic Measurements

Michel Bauer, Denis Bernard, Tristan Benoist

1210.0425

Chaos in the BMN matrix model

Yuhma Asano, Daisuke Kawai, Kentaroh Yoshida

1503.04594

On some properties of orthogonal Weingarten functions

Benoît Collins, Sho Matsumoto

0903.5143

Integral Formulas for the Asymmetric Simple Exclusion Process

Craig A. Tracy, Harold Widom

0704.2633

Random surface growth with a wall and Plancherel measures for O(infinity)

Alexei Borodin, Jeffrey Kuan

0904.2607

Real eigenvalue statistics for products of asymmetric real Gaussian matrices

P. J. Forrester, J. R. Ipsen

1608.04097

Multi-Line Geometry of Qubit-Qutrit and Higher-Order Pauli Operators

Michel R. P. Planat, Anne-Céline Baboin, Metod Saniga

0705.2538

Noncolliding Brownian Motion and Determinantal Processes

Makoto Katori, Hideki Tanemura

0705.2460

Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints

Andreas Winter

1507.07775

Spectra of Random Hermitian Matrices with a Small-Rank External Source: The critical and near-critical regimes

Marco Bertola, Robert Buckingham, Seung-Yeop Lee, Virgil U. Pierce

1011.4983

Central Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices

Mariya Shcherbina

1101.3249

On unitary 2-representations of finite groups and topological quantum field theory

Bruce Bartlett

0901.3975

Bulk and soft-edge universality for singular values of products of Ginibre random matrices

Dang-Zheng Liu, Dong Wang, Lun Zhang

1412.6777

Combinatorial approach to the interpolation method and scaling limits in sparse random graphs

Mohsen Bayati, David Gamarnik, Prasad Tetali

0912.2444

Scaling exponent for the Hopf-Cole solution of KPZ/Stochastic Burgers

Marton Balazs, Jeremy Quastel, Timo Seppalainen

0909.4816

Multiqubit Clifford groups are unitary 3-designs

Huangjun Zhu

1510.02619

Bulk universality of sparse random matrices

Jiaoyang Huang, Benjamin Landon, Horng-Tzer Yau

1504.05170

Random matrices

Bertrand Eynard, Taro Kimura, Sylvain Ribault

1510.04430

Informational derivation of Quantum Theory

G. Chiribella, G. M. D'Ariano, P. Perinotti

1011.6451

Categories for the practising physicist

Bob Coecke, Eric Oliver Paquette

0905.3010

Environment and classical channels in categorical quantum mechanics

Bob Coecke, Simon Perdrix

1004.1598

`What is a Thing?': Topos Theory in the Foundations of Physics

Andreas Doering, Chris Isham

0803.0417

On phase transition in the hard-core model on ${\bf Z}^d$

David Galvin, Jeff Kahn

1206.3144

The Eigenvector Moment Flow and local Quantum Unique Ergodicity

Paul Bourgade, Horng-Tzer Yau

1312.1301

Ising models on locally tree-like graphs

Amir Dembo, Andrea Montanari

0804.4726

Computing the partition function for graph homomorphisms

Alexander Barvinok, Pablo Soberón

1406.1771

The Bethe Partition Function of Log-supermodular Graphical Models

Nicholas Ruozzi

1202.6035