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scientific article; zbMATH DE number 7209561

Language	Label	Description	Also known as
English	HALF-SPACE MACDONALD PROCESSES	scientific article; zbMATH DE number 7209561

Statements

scholarly article

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HALF-SPACE MACDONALD PROCESSES (English)

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Guillaume Barraquand

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Forum of Mathematics, Pi

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publication date

8 June 2020

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full work available at URL

https://arxiv.org/abs/1802.08210

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zbMATH Keywords

Macdonald processes

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Kardar-Parisi-Zhang equation

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MaRDI profile type

MaRDI publication profile

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Dynamical stochastic higher spin vertex models

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Phase transitions in the ASEP and stochastic six-vertex model

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

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

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Facilitated exclusion process

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Pfaffian Schur processes and last passage percolation in a half-quadrant

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Algebraic aspects of increasing subsequences

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The asymptotics of monotone subsequences of involutions

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A phase transition for \(q\)-TASEP with a few slower particles

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Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process

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Random-walk in beta-distributed random environment

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Exponential functionals of Brownian motion and class-one Whittaker functions

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Stochastic Burgers and KPZ equations from particle systems

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The free boundary Schur process and applications. I

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Refined Cauchy/Littlewood identities and six-vertex model partition functions. II: Proofs and new conjectures

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Point-to-line polymers and orthogonal Whittaker functions

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Limit Jordan normal form of large triangular matrices over a finite field

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The law of large numbers and the central limit theorem for the Jordan normal form of large triangular matrices over a finite field

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Schur dynamics of the Schur processes

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On a family of symmetric rational functions

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Stochastic higher spin six vertex model and Macdonald measures

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Directed random polymers via nested contour integrals

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Discrete Time q-TASEPs

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Macdonald processes

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

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Height fluctuations for the stationary KPZ equation

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Stochastic six-vertex model

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Observables of Macdonald processes

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Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz

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Spectral theory for the -Boson particle system

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

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A classical limit of Noumi's \(q\)-integral operator

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

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Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model

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

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General β-Jacobi Corners Process and the Gaussian Free Field

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The ASEP and determinantal point processes

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Integrable probability: from representation theory to MacDonald processes

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Nearest neighbor Markov dynamics on Macdonald processes

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Higher spin six vertex model and symmetric rational functions

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

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Hall-Littlewood RSK field

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Law of large numbers for infinite random matrices over a finite field

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THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS

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Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class

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Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles

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Brownian Gibbs property for Airy line ensembles

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KPZ line ensemble

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Tropical combinatorics and Whittaker functions

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The \(q\)-PushASEP: a New Integrable Model for Traffic in \(1+1\) dimension

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The strict-weak lattice polymer

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Open ASEP in the Weakly Asymmetric Regime

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Stationary measure of the driven two-dimensional \(q\)-Whittaker particle system on the torus

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Weakly asymmetric non-simple exclusion process and the Kardar-Parisi-Zhang equation

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Strong stationary times via a new form of duality

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The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions

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KPZ and Airy limits of Hall-Littlewood random plane partitions

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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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A commutative algebra on degenerate CP1 and Macdonald polynomials

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Tracy-Widom asymptotics for \(q\)-TASEP

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Correlation functions for random involutions

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Random matrix theory over finite fields

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Variational formulas and cocycle solutions for directed polymer and percolation models

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Ratios of partition functions for the log-gamma polymer

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Large deviation rate functions for the partition function in a log-gamma distributed random potential

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Baxter operator and archimedean Hecke algebra

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On \(q\)-deformed \(\mathfrak{gl}_{\ell+1}\)-Whittaker function. III

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Correlation functions of the Pfaffian Schur process using Macdonald difference operators

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Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds and the Mirror Conjecture

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A \(q\)-analogue of de Finetti's theorem

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Finite traces and representations of the group of infinite matrices over a finite field

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Multilevel Dyson Brownian motions via Jack polynomials

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Interlacing adjacent levels of \(\beta\)-Jacobi corners processes

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Log-gamma directed polymer with one free end via coordinate Bethe Ansatz

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Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian

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A CLASS OF GROWTH MODELS RESCALING TO KPZ

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Whittaker functions on semisimple Lie groups

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New formulas for Whittaker functions on \(\text{GL}(n,\mathbb R)\)

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Statistical properties of the generalized inverse Gaussian distribution

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Dynamic Scaling of Growing Interfaces

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Permutations, matrices, and generalized Young tableaux

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Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder

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Macdonald-positive specializations of the algebra of symmetric functions: proof of the Kerov conjecture

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\(q\)-randomized Robinson-Schensted-Knuth correspondences and random polymers

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Variants of Geometric RSK, Geometric PNG, and the Multipoint Distribution of the Log-Gamma Polymer

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An infinite family of higher-order difference operators that commute with Ruijsenaars operators of type \(A\)

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Directed polymers and the quantum Toda lattice

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Whittaker functions and related stochastic processes

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Tracy-widom asymptotics for a random polymer model with gamma-distributed weights

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A \(q\)-weighted version of the Robinson-Schensted algorithm

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Geometric RSK correspondence, Whittaker functions and symmetrized random polymers

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Brownian analogues of Burke's theorem.

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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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Stochastic higher spin six vertex model and \(q\)-TASEPs

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A Pfaffian Representation for Flat ASEP

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The KPZ limit of ASEP with boundary

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On the integrability of zero-range chipping models with factorized steady states

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Multivariate quadratic transformations and the interpolation kernel

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Fluctuations of the one-dimensional polynuclear growth model in half-space

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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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Mellin transforms of GL ( n , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]) whittaker functions

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Log-gamma directed polymer with fixed endpoints via the replica Bethe Ansatz

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Asymptotics in ASEP with step initial condition

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The asymmetric simple exclusion process with an open boundary

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The Bose gas and asymmetric simple exclusion process on the half-line

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Symmetric and nonsymmetric Koornwinder polynomials in the \(q \to 0\) limit

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Refined Cauchy/Littlewood identities and six-vertex model partition functions. III. Deformed bosons

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Identifiers

zbMATH Open document ID

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10.1017/fmp.2020.3

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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:5112795

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