Commutation relations and Markov chains

DOI10.1007/s00440-008-0143-0zbMath1163.60032arXiv0712.1375OpenAlexW2142751778MaRDI QIDQ1017898

Jason Fulman

Publication date: 13 May 2009

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1375

zbMATH Keywords

symmetric functionseparation distancedifferential posetEwens distribution

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)

Related Items (11)

Two-parameter family of infinite-dimensional diffusions on the Kingman simplex ⋮ \(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs ⋮ A down‐up chain with persistent labels on multifurcating trees ⋮ Diffusive limits of two-parameter ordered Chinese restaurant process up-down chains ⋮ Diffusions on a space of interval partitions: the two-parameter model ⋮ Random walks on strict partitions ⋮ Separation cutoffs for random walk on irreducible representations ⋮ Rates of convergence of some multivariate Markov chains with polynomial eigenfunctions ⋮ A Ray-Knight representation of up-down Chinese restaurants ⋮ Lumpings of algebraic Markov chains arise from subquotients ⋮ The leftmost column of ordered Chinese restaurant process up-down chains: intertwining and convergence

Cites Work

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• \(Z\)-measures on partitions and their scaling limits
• Separation cutoffs for random walk on irreducible representations
• Stein's method, Jack measure, and the Metropolis algorithm
• Harmonic analysis on the infinite symmetric group
• Strong stationary times via a new form of duality
• Markov processes on partitions
• Exchangeable pairs and Poisson approximation
• Separation cut-offs for birth and death chains
• Infinite-dimensional diffusions as limits of random walks on partitions
• Strong uniform times and finite random walks
• Rates of convergence of random walk on distance regular graphs
• Duality of graded graphs
• A limit theorem for shifted Schur measures
• The nearest neighbor random walk on subspaces of a vector space and rate of convergence
• Multiplicative central measures on the Schur graph
• Harmonic functions on multiplicative graphs and interpolation polynomials
• Stein's method for concentration inequalities
• Convergence rates of random walk on irreducible representations of finite groups
• Correlation functions of the shifted Schur measure
• Identifying Coefficients in the Spectral Representation for First Passage Time Distributions
• Spectral Analysis, without Eigenvectors, for Markov Chains
• Stein's method and random character ratios
• Step Size in Stein's Method of Exchangeable Pairs
• Shuffling Cards and Stopping Times
• Differential Posets
• Time to Reach Stationarity in the Bernoulli–Laplace Diffusion Model
• Stein’s method and Plancherel measure of the symmetric group
• The cutoff phenomenon in finite Markov chains.
• Ehrenfest urn models

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