Separation cut-offs for birth and death chains
From MaRDI portal
Publication:997420
DOI10.1214/105051606000000501zbMath1127.60081arXivmath/0702411OpenAlexW1986979025MaRDI QIDQ997420
Laurent Saloff-Coste, Persi Diaconis
Publication date: 6 August 2007
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702411
Discrete-time Markov processes on general state spaces (60J05) Convergence of probability measures (60B10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)
Related Items
Antiduality and Möbius monotonicity: generalized coupon collector problem, On times to quasi-stationarity for birth and death processes, The passage time distribution for a birth-and-death chain: Strong stationary duality gives a first stochastic proof, Quantitative contraction rates for Markov chains on general state spaces, Total variation cutoff in birth-and-death chains, Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability, Abrupt convergence and escape behavior for birth and death chains, Lower bounds for the rate of convergence for continuous-time inhomogeneous Markov chains with a finite state space, Cut-off for \(n\)-tuples of exponentially converging processes, Reflection couplings and contraction rates for diffusions, On hitting time, mixing time and geometric interpretations of Metropolis-Hastings reversiblizations, Hitting time distributions for denumerable birth and death processes, Cutoff for the averaging process on the hypercube and complete bipartite graphs, Gibbs sampling, exponential families and orthogonal polynomials, Cutoff for the Ising model on the lattice, On the separation cut-off phenomenon for Brownian motions on high dimensional spheres, Spectral computations for birth and death chains, The cutoff phenomenon for Ehrenfest chains, The cutoff phenomenon for random birth and death chains, Fluctuations analysis of finite discrete birth and death chains with emphasis on Moran models with mutations, Separation cutoffs for random walk on irreducible representations, Cutoff at the ``entropic time for sparse Markov chains, Skip-free Markov chains, On limiting characteristics for a non-stationary two-processor heterogeneous system with catastrophes, server failures and repairs, Strong stationary duality for diffusion processes, Comparison of Cutoffs Between Lazy Walks and Markovian Semigroups, Hitting time and mixing time bounds of Stein's factors, Entropy-driven cutoff phenomena, Explicit criteria on separation cutoff for birth and death chains, The \(L^{2}\)-cutoff for reversible Markov processes, Separation cutoff for upward skip-free chains, Existence condition of strong stationary times for continuous time Markov chains on discrete graphs, On absorption times and Dirichlet eigenvalues, Commutation relations and Markov chains, No cut-off phenomenon for the ``Insect Markov chain, Analysis of non-reversible Markov chains via similarity orbits, Random doubly stochastic tridiagonal matrices, An interruptible algorithm for perfect sampling via Markov chains, Mixing times for the commuting chain on CA groups
Cites Work
- Strong stationary times via a new form of duality
- Strong uniform times and finite random walks
- Strong stationary duality for continuous-time Markov chains. I: Theory
- Markov chain models - rarity and exponentiality
- What do we know about the Metropolis algorithm?
- Rates of convergence of random walk on distance regular graphs
- Comparison techniques for random walk on finite groups
- The nearest neighbor random walk on subspaces of a vector space and rate of convergence
- An inverse problem in birth and death processes
- Logarithmic Sobolev inequalities for finite Markov chains
- Identifying Coefficients in the Spectral Representation for First Passage Time Distributions
- Shuffling Cards and Stopping Times
- Generating a random permutation with random transpositions
- Time to Reach Stationarity in the Bernoulli–Laplace Diffusion Model
- The cutoff phenomenon in finite Markov chains.
- Ehrenfest urn models
- A Note on the Theory of Moment Generating Functions
- On mixing of certain random walks, cutoff phenomenon and sharp threshold of random matroid processes
- Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item