Universality of local statistics for noncolliding random walks
From MaRDI portal
Publication:2280537
DOI10.1214/18-AOP1315zbMath1448.60106arXiv1608.03243OpenAlexW2981889657MaRDI QIDQ2280537
Publication date: 18 December 2019
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.03243
homogenizationsteepest descent methoddeterminantal point processesbulk universalityDyson's conjecturenoncolliding random walksdiscrete sine process
Random matrices (probabilistic aspects) (60B20) Combinatorial probability (60C05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (9)
Double interlacing in random tiling models ⋮ Bulk universality for random lozenge tilings near straight boundaries and for tensor products ⋮ Asymptotics of noncolliding q-exchangeable random walks ⋮ Critical behavior of non-intersecting Brownian motions ⋮ Free fermion six vertex model: symmetric functions and random domino tilings ⋮ Local limits of lozenge tilings are stable under bounded boundary height perturbations ⋮ Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices ⋮ Tightness of Bernoulli Gibbsian line ensembles ⋮ Noncolliding Macdonald walks with an absorbing wall
Cites Work
- The cusp-Airy process
- Anisotropic growth of random surfaces in \({2+1}\) dimensions
- The boundary of the Gelfand-Tsetlin graph: A new approach
- Nonintersecting paths with a staircase initial condition
- Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field
- Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes
- Local law of addition of random matrices on optimal scale
- \(q\)-distributions on boxed plane partitions
- On the Vershik-Kerov conjecture concerning the Shannon-McMillan-Breiman theorem for the Plancherel family of measures on the space of Young diagrams
- Coincidence probabilities
- Lozenge tilings and Hurwitz numbers
- Asymptotics of Plancherel measures for the infinite-dimensional unitary group
- On the shuffling algorithm for domino tilings
- Orthogonal polynomial ensembles in probability theory
- Determinantal processes and independence
- Gibbs ensembles of nonintersecting paths
- Nonintersecting paths and the Hahn orthogonal polynomial ensemble
- Ordered random walks
- Représentations factorielles de type \(II_1\) de \(U(\infty)\)
- Universality for random matrix flows with time-dependent density
- Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles
- Universality properties of Gelfand-Tsetlin patterns
- Shape fluctuations and random matrices
- Representations of classical Lie groups and quantized free convolution
- Bulk universality for random lozenge tilings near straight boundaries and for tensor products
- Convergence of local statistics of Dyson Brownian motion
- Integrable probability: from representation theory to MacDonald processes
- Periodic Schur process and cylindric partitions
- Limit shapes and the complex Burgers equation
- The arctic circle boundary and the Airy process
- Dimers and amoebae
- Height fluctuations in the honeycomb dimer model
- Non-intersecting, simple, symmetric random walks and the extended Hahn kernel.
- A variational principle for domino tilings
- Determinantal random point fields
- Fixed Energy Universality for Generalized Wigner Matrices
- The Boundary of the Gelfand-Tsetlin Graph: New Proof of Borodin-Olshanski's Formula, and its q-analogue
- Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
- Asymptotic geometry of discrete interlaced patterns: Part I
- An Introduction to Random Matrices
- A Brownian-Motion Model for the Eigenvalues of a Random Matrix
- Lectures on integrable probability
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- Universality of local spectral statistics of random matrices
- Asymptotics of Plancherel measures for symmetric groups
- Random matrices: The Universality phenomenon for Wigner ensembles
- Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory
- On the Generating Function of a Doubly Infinite, Totally Positive Sequence
- Discrete orthogonal polynomial ensembles and the Plancherel measure
- Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Universality of local statistics for noncolliding random walks