Zeros of Airy function and relaxation process

DOI10.1007/s10955-009-9829-7zbMath1180.82029arXiv0906.3666OpenAlexW2121483167MaRDI QIDQ1040723

Hideki Tanemura, Makoto Katori

Publication date: 25 November 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3666

zbMATH Keywords

entire functionrelaxation processdeterminantal point processDyson's modelWeierstrass canonical productzeros of Airy function

Mathematics Subject Classification ID

Brownian motion (60J65) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (16)

Infinite dimensional stochastic differential equations for Dyson's model ⋮ Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes ⋮ Noncolliding system of continuous-time random walks ⋮ Determinantal martingales and noncolliding diffusion processes ⋮ Elliptic determinantal processes and elliptic Dyson models ⋮ Stochastic analysis of infinite particle systems—A new development in classical stochastic analysis and dynamical universality of random matrices ⋮ Strong Markov property of determinantal processes with extended kernels ⋮ Noncolliding squared Bessel processes ⋮ Inversion of analytic characteristic functions and infinite convolutions of exponential and Laplace densities ⋮ Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary ⋮ Markov processes of infinitely many nonintersecting random walks ⋮ Determinantal process starting from an orthogonal symmetry is a Pfaffian process ⋮ Reciprocal time relation of noncolliding Brownian motion with drift ⋮ Markov dynamics on the dual object to the infinite-dimensional unitary group ⋮ Stochastic geometry and dynamics of infinitely many particle systems—random matrices and interacting Brownian motions in infinite dimensions ⋮ Determinantal martingales and correlations of noncolliding random walks

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