Dyson's model in infinite dimensions is irreducible
DOI10.1007/978-981-19-4672-1_21zbMath1497.60008arXiv2107.10775OpenAlexW3185654325MaRDI QIDQ2088484
Ryosuke Tsuboi, Hirofumi Osada
Publication date: 22 October 2022
Full work available at URL: https://arxiv.org/abs/2107.10775
random matricesdiffusion processlogarithmic potentialirreducibilityDyson's modelinfinite-dimensional stochastic differential equationsinteracting Brownian motionGaussian unitary ensembles
Random matrices (probabilistic aspects) (60B20) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Right processes (60J40)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinite dimensional stochastic differential equations for Dyson's model
- Ergodicity of the Airy line ensemble
- Infinite-dimensional stochastic differential equations related to Bessel random point fields
- Dirichlet forms and symmetric Markov processes.
- Infinite-dimensional stochastic differential equations related to random matrices
- Infinite-dimensional stochastic differential equations and tail \(\sigma\)-fields
- Gradient dynamics of infinite point systems
- Analysis and geometry on configuration spaces: the Gibbsian case
- Discrete approximations of determinantal point processes on continuous spaces: tree representations and tail triviality
- An infinite system of Brownian balls with infinite range interaction.
- Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
- A system of infinitely many mutually reflecting Brownian balls in \(\mathbb{R}^ d\)
- Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials. II: Airy random point field
- Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials
- A note on tail triviality for determinantal point processes
- Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions
- Infinite-dimensional stochastic differential equations and tail \(\sigma\)-fields II: the IFC condition
- Dynamical universality for random matrices
- Superstable interactions in classical statistical mechanics
- Non-collision and collision properties of Dyson's model in infinite dimension and other stochastic dynamics whose equilibrium states are determinantal random point fields
- A Brownian-Motion Model for the Eigenvalues of a Random Matrix
- Unendlich-dimensionale Wienerprozesse mit Wechselwirkung
- Unendlich-dimensionale Wienerprozesse mit Wechselwirkung
- Finite-particle approximations for interacting Brownian particles with logarithmic potentials
- Tagged particle processes and their non-explosion criteria
This page was built for publication: Dyson's model in infinite dimensions is irreducible
