Nonintersecting random walks in the neighborhood of a symmetric tacnode
From MaRDI portal
Publication:359678
DOI10.1214/11-AOP726zbMath1279.60062arXiv1007.1163OpenAlexW2021252979MaRDI QIDQ359678
Pierre van Moerbeke, Mark Adler, Patrik Lino Ferrari
Publication date: 22 August 2013
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.1163
Random fields (60G60) Stationary stochastic processes (60G10) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with computer science (35Q68)
Related Items
The Hermitian two matrix model with an even quartic potential, Double interlacing in random tiling models, Nonintersecting Brownian motions on the unit circle, A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles, The hard edge tacnode process and the hard edge Pearcey process with non-intersecting squared Bessel paths, Critical behavior of nonintersecting Brownian motions at a tacnode, Limit shape phase transitions: a merger of arctic circles, Non-intersecting squared Bessel paths with one positive starting and ending point, Non-intersecting squared Bessel paths at a hard-edge tacnode, Non-intersecting Brownian motions leaving from and going to several points, On the gap probability of the tacnode process, Non-colliding Brownian motions and the extended tacnode process, Limiting distribution of maximal crossing and nesting of Poissonized random matchings, Double Aztec diamonds and the tacnode process, Painlevé kernels in Hermitian matrix models, The tacnode Riemann-Hilbert problem, Nonintersecting Brownian bridges between reflecting or absorbing walls, Multiplicative functionals on ensembles of non-intersecting paths, The \(k\)-tacnode process, Two Lax systems for the Painlevé II Equation, and Two Related Kernels in Random Matrix Theory, A periodic hexagon tiling model and non-Hermitian orthogonal polynomials, Tacnode GUE-minor processes and double Aztec diamonds
Cites Work
- Unnamed Item
- Unnamed Item
- Non-colliding Brownian bridges and the asymmetric tacnode process
- Fluctuations of the one-dimensional polynuclear growth model in half-space
- Limits of determinantal processes near a tacnode
- From the Pearcey to the Airy process.
- Coincidence probabilities
- Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
- The Pearcey process
- Fluctuations of the one-dimensional polynuclear growth model with external sources
- Random skew plane partitions and the Pearcey process
- Airy kernel with two sets of parameters in directed percolation and random matrix theory
- Airy processes with wanderers and new universality classes
- Universality for the Pearcey process
- Determinantal processes and independence
- Level-spacing distributions and the Airy kernel
- Scale invariance of the PNG droplet and the Airy process
- Step fluctuations for a faceted crystal
- Discrete polynuclear growth and determinantal processes
- Biorthogonal ensembles
- A Fredholm determinant formula for Toeplitz determinants
- Limiting distributions for a polynuclear growth model with external sources
- Correlation functions, cluster functions, and spacing distributions for random matrices
- Non-intersecting paths, random tilings and random matrices
- Dynamical correlations among vicious random walkers
- Dynamical correlations for vicious random walk with a wall
- Determinantal probability measures
- Non-colliding Brownian motions and the extended tacnode process
- Double Aztec diamonds and the tacnode process
- Nonintersecting Brownian excursions
- Noncolliding Brownian motion and determinantal processes
- Eynard-Mehta theorem, Schur process, and their Pfaffian analogs
- Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
- Non-intersecting, simple, symmetric random walks and the extended Hahn kernel.
- Integrals over classical groups, random permutations, Toda and Toeplitz lattices
- Random and Integrable Models in Mathematics and Physics
- Critical behavior of nonintersecting Brownian motions at a tacnode
- A Phase Transition for Nonintersecting Brownian Motions, and the Painleve II Equation
- Random surface growth with a wall and Plancherel measures for O (∞)
- Course 1 Random matrices and determinantal processes
- Dyson's nonintersecting Brownian motions with a few outliers
- On the distribution of the length of the longest increasing subsequence of random permutations
- String-orthogonal polynomials, string equations, and 2-Toda symmetries
- Bessel Functions: Monotonicity and Bounds
- Matrices coupled in a chain: I. Eigenvalue correlations
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems
- Asymptotics of Plancherel measures for symmetric groups
