Diffusion processes on the Thoma cone

DOI10.1007/S10688-016-0153-0zbMath1357.60085OpenAlexW2522991913MaRDI QIDQ508822

Grigori Olshanski

Publication date: 8 February 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-016-0153-0

zbMATH Keywords

diffusion processsymmetric functionsinfinite symmetric groupThoma coneThoma simplex

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Diffusion processes (60J60)

Related Items (1)

On a gateway between the Laguerre process and dynamics on partitions

Cites Work

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• \(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs
• Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles
• Infinite-dimensional diffusions as limits of random walks on partitions
• Laguerre and Meixner Orthogonal Bases in the Algebra of Symmetric Functions
• Analysis and Geometry of Markov Diffusion Operators

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