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Airy Processes and Variational Problems (Q3463642)

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Language	Label	Description	Also known as
English	Airy Processes and Variational Problems	scientific article

Statements

scholarly article

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Airy Processes and Variational Problems (English)

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Topics in Percolative and Disordered Systems

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publication date

19 January 2016

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full work available at URL

https://arxiv.org/abs/1301.0750

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MaRDI profile type

MaRDI publication profile

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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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A simplified proof of the relation between scaling exponents in first-passage percolation

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The scaling relation chi = 2 xi - 1 for directed polymers in a random environment

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Limiting distributions for a polynuclear growth model with external sources

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On the average of the Airy process and its time reversal

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

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Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function

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Limit process of stationary TASEP near the characteristic line

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On the joint distribution of the maximum and its position of the Airy2 process minus a parabola

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Stochastic Burgers and KPZ equations from particle systems

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On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review

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On the numerical evaluation of Fredholm determinants

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Distributions on partitions, point processes, and the hypergeometric kernel

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

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MACDONALD PROCESSES

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Lectures on integrable probability

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

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Fluctuations in the Discrete TASEP with Periodic Initial Configurations and the Airy1 Process

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Fluctuation properties of the TASEP with periodic initial configuration

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Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP

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Transition between Airy<sub>1</sub>and Airy<sub>2</sub>processes and TASEP fluctuations

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Two speed TASEP

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

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

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Multiplicative functionals on ensembles of non-intersecting paths

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Tail decay for the distribution of the endpoint of a directed polymer

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The universal relation between scaling exponents in first-passage percolation

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Brownian Gibbs property for Airy line ensembles

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Limit processes for TASEP with shocks and rarefaction fans

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Universality of slow decorrelation in KPZ growth

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Tropical combinatorics and Whittaker functions

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Continuum statistics of the Airy\(_{2}\) process

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Matrices coupled in a chain: I. Eigenvalue correlations

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The Height and Range of Watermelons without Wall

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Slow decorrelations in Kardar–Parisi–Zhang growth

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On the spatial persistence for Airy processes

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Walks, walls, wetting, and melting

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Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges

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Non-intersecting Brownian walkers and Yang-Mills theory on the sphere

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Binomial determinants, paths, and hook length formulae

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Local Gaussian fluctuations in the Airy and discrete PNG processes

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Solving the KPZ equation

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Shape fluctuations and random matrices

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Discrete polynuclear growth and determinantal processes

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Course 1 Random matrices and determinantal processes

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Dynamic Scaling of Growing Interfaces

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Coincidence probabilities

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On the Vector Representations of Induced Matroids

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A variational approach to directed polymers

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Endpoint distribution of directed polymers in \(1 + 1\) dimensions

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Directed polymers and the quantum Toda lattice

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Scale invariance of the PNG droplet and the Airy process

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The one-dimensional KPZ equation and the Airy process

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Local Brownian property of the narrow wedge solution of the KPZ equation

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Tails of the endpoint distribution of directed polymers

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Local behavior and hitting probabilities of the \(\text{Airy}_1\) process

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Supremum of the \(\mathrm{Airy}_{2}\) process minus a parabola on a half line

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Extremes of \(N\) vicious walkers for large \(N\): application to the directed polymer and KPZ interfaces

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Exact Distribution of the Maximal Height of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>Vicious Walkers

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Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence

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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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Differential equations for Dyson processes

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The Pearcey process

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Nonintersecting Brownian excursions

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A Fredholm determinant representation in ASEP

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Integral formulas for the asymmetric simple exclusion process

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Asymptotics in ASEP with step initial condition

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On asymptotics for the Airy process

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4939-0339-9_5

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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:3463642

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