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Hypergroup deformations and Markov chains

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Publication:1337951
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DOI10.1007/BF02214374zbMath0807.60011MaRDI QIDQ1337951

Kenneth A. Ross, Daming Xu

Publication date: 22 February 1995

Published in: Journal of Theoretical Probability (Search for Journal in Brave)


zbMATH Keywords

random walksDiaconis-Shahshahani's upper bound lemmahypergroup deformationrates of convergence of some Metropolis Markov chains


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)


Related Items

Rates of convergence to Gaussian measures on \(n\)-spheres and Jacobi hypergroups, Tensor product Markov chains, Hypergroup deformations of semigroups, What do we know about the Metropolis algorithm?, Norm convergence of random walks on compact hypergroups



Cites Work

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  • Spectral synthesis in products and quotients of hypergroups
  • Spaces with an abstract convolution of measures
  • Markov chains for exploring posterior distributions. (With discussion)
  • Rates of convergence for Gibbs sampling for variance component models
  • On the convergence of the Markov chain simulation method
  • Generating a random permutation with random transpositions
  • Krawtchouk Polynomials and the Symmetrization of Hypergroups
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