Convolution Powers of Probabilities on Stochastic Matrices

Santanu Chakraborty and B. V. Rao ()
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Santanu Chakraborty: Indian Statistical Institute

Journal of Theoretical Probability, 2001, vol. 14, issue 2, 599-603

Abstract: Abstract For any probability μ on the space of d×d stochastic matrices we associate a probability $$\tilde \mu $$ ; on a finite group—a subgroup of the permutation group—related to the kernel of the semigroup generated by the support of μ. We show that μn converges iff $$\tilde \mu $$ n converges.

Keywords: stochastic matrices; semigroup; kernel; convolution; weak convergence (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1011180117932

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