Analysis of non-reversible Markov chains via similarity orbits
DOI10.1017/S0963548320000024zbMath1469.60221arXiv1912.10715MaRDI QIDQ4993103
Pierre Patie, Michael C. H. Choi
Publication date: 15 June 2021
Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.10715
Discrete-time Markov processes on general state spaces (60J05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Continuous-time Markov processes on discrete state spaces (60J27)
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Cites Work
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- Non-reversible Metropolis-Hastings
- Non-self-adjoint resolutions of the identity and associated operators
- Eigentime identity for asymmetric finite Markov chains
- Spectral decomposition of fractional operators and a reflected stable semigroup
- Strong stationary times via a new form of duality
- Coincidence properties of birth and death processes
- Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
- On hitting times and fastest strong stationary times for skip-free and more general chains
- Gibbs sampling, exponential families and orthogonal polynomials
- Spectral bounds for certain two-factor non-reversible MCMC algorithms
- Separation cut-offs for birth and death chains
- Rates of convergence of some multivariate Markov chains with polynomial eigenfunctions
- The cutoff phenomenon for ergodic Markov processes
- A sample path proof of the duality for stochastically monotone Markov processes
- The equivalence of absorbing and reflecting barrier problems for stochastically monotone Markov processes
- On functions which preserve the class of Stieltjes matrices
- On the eigenvalues of non-negative Jacobi matrices
- Stochastic processes and orthogonal polynomials
- Cauchy problem of the non-self-adjoint Gauss-Laguerre semigroups and uniform bounds for generalized Laguerre polynomials
- Intertwinings and Stein's magic factors for birth-death processes
- Large deviations asymptotics and the spectral theory of multiplicatively regular Markov proces\-ses
- Spectral theory and limit theorems for geometrically ergodic Markov processes
- Geometric ergodicity and the spectral gap of non-reversible Markov chains
- Convergence analysis of some multivariate Markov chains using stochastic monotonicity
- The \(L^{2}\)-cutoff for reversible Markov processes
- On the Markov commutator
- Multivariate Krawtchouk polynomials and composition birth and death processes
- The ODE method for stability of skip-free Markov chains with applications to MCMC
- Intertwining and commutation relations for birth-death processes
- On the notion(s) of duality for Markov processes
- Computing cutoff times of birth and death chains
- Concentration inequalities for Markov chains by Marton couplings and spectral methods
- Spectral operators
- Commuting spectral measures on Hilbert space
- Separation cutoff for upward skip-free chains
- Corrigendum: Partial inner product spaces, metric operators and generalized hermiticity
- Duality and intertwining for discrete Markov kernels: relations and examples
- On absorption times and Dirichlet eigenvalues
- Exactly solvable birth and death processes
- Mathematical Aspects of Mixing Times in Markov Chains
- Hypocoercivity
- Matrix Group Monotonicity
- Singular Values, Diagonal Elements, and Convexity
- Brownian Excursions and Parisian Barrier Options
- Skip-free Markov chains
- Applied Probability and Queues
- On the Markovian Similarity
- Unitary Dilations of One-Parameter Semigroups of Markov Transition Operators, and the Corresponding Integral Representations for Markov Processes with a Countable Infinity of States
- Spectral theory for the differential equations of simple birth and death processes
- On quantitative convergence to quasi-stationarity
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