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Lectures on integrable probability (Q4641985)

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scientific article; zbMATH DE number 6870602

Language	Label	Description	Also known as
English	Lectures on integrable probability	scientific article; zbMATH DE number 6870602

Statements

scholarly article

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publication date

18 May 2018

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full work available at URL

https://arxiv.org/abs/1212.3351

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.PR

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math-ph

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math.CO

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math.MP

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The intermediate disorder regime for directed polymers in dimension \(1+1\)

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The continuum directed random polymer

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Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions

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An Introduction to Random Matrices

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On the distribution of the length of the longest increasing subsequence of random permutations

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GUEs and queues

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Elliptically distributed lozenge tilings of a hexagon

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Schur dynamics of the Schur processes

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Macdonald processes

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Moments and Lyapunov exponents for the parabolic Anderson model

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Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension

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Observables of Macdonald processes

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Log-gamma polymer free energy fluctuations via a Fredholm determinant identity

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From duality to determinants for \(q\)-TASEP and ASEP

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Limits of determinantal processes near a tacnode

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Large time asymptotics of growth models on space-like paths. I: Push ASEP

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Fluctuation properties of the TASEP with periodic initial configuration

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Anisotropic growth of random surfaces in \({2+1}\) dimensions

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Shuffling algorithm for boxed plane partitions

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\(q\)-distributions on boxed plane partitions

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Asymptotics of Plancherel measures for symmetric groups

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Distributions on partitions, point processes, and the hypergeometric kernel

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Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary

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Eynard-Mehta theorem, Schur process, and their Pfaffian analogs

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Random skew plane partitions with a piecewise periodic back wall

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THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS

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Strong stationary times via a new form of duality

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Bethe ansatz replica derivation of the GOE Tracy–Widom distribution in one-dimensional directed polymers with free endpoints

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Statistical Theory of the Energy Levels of Complex Systems. I

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On the Generating Function of a Doubly Infinite, Totally Positive Sequence

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Universality of local spectral statistics of random matrices

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Interpretations of some parameter dependent generalizations of classical matrix ensembles

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On a classical limit of \(q\)-deformed Whittaker functions

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Limits of multilevel TASEP and similar processes

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Solving the KPZ equation

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Yang's system of particles and Hecke algebras

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Diffusion of directed polymers in a random environment.

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Shape fluctuations and random matrices

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Discrete orthogonal polynomial ensembles and the Plancherel measure

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Non-intersecting paths, random tilings and random matrices

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Course 1 Random matrices and determinantal processes

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Eigenvalues of GUE minors

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Dynamic Scaling of Growing Interfaces

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Coincidence probabilities

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Lectures on Dimers

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Advanced determinant calculus

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Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

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A variational problem for random Young tableaux

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Determinantal probability measures

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The coincidence approach to stochastic point processes

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A new class of symmetric functions

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Study of Exactly Soluble One-Dimensional <i>N</i>-Body Problems

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On the shuffling algorithm for domino tilings

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Directed polymers and the quantum Toda lattice

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Brownian analogues of Burke's theorem.

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Thoma's theorem and representations of the infinite bisymmetric group

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Infinite wedge and random partitions

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Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram

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Random skew plane partitions and the Pearcey process

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Scale invariance of the PNG droplet and the Airy process

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Exact height distributions for the KPZ equation with narrow wedge initial condition

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Scaling for a one-dimensional directed polymer with boundary conditions

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Interaction of Markov processes

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Nonintersecting paths, pfaffians, and plane partitions

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Random matrices: The Universality phenomenon for Wigner ensembles

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Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe

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Level-spacing distributions and the Airy kernel

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On orthogonal and symplectic matrix ensembles

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Formulas and asymptotics for the asymmetric simple exclusion process

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Asymptotic theory of characters of the symmetric group

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A generalization of MacMahon’s formula

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Dyson's Brownian motions, intertwining and interlacing

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4641985

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