Arunava Mukherjea
Articles written in Proceedings – Mathematical Sciences
Volume 119 Issue 5 November 2009 pp 669-677
Arunava Mukherjea Ricardo Restrepo
This article gives sufficient conditions for the limit distribution of products of i.i.d. $2\times 2$ stochastic matrices to be continuous singular, when the support of the distribution of the individual random matrices is countably infinite. It extends a previous result for which the support of the random matrices is finite. The result is based on adapting existing proofs in the context of attractors and iterated function systems to the case of infinite iterated function systems.
Volume 124 Issue 4 November 2014 pp 603-612
Limit distributions of random walks on stochastic matrices
Santanu Chakraborty Arunava Mukherjea
Problems similar to
Volume 129 Issue 4 September 2019 Article ID 0063 Research Article
The convolution equation $\sigma*\mu=\mu$ on non-compact non-abelian semigroups
In probability theory, often in connection with problems on weak convergence, and also in other contexts, convolution equations of the form $\sigma*\mu=\mu$ come up. Many years ago, Choqet and Deny (
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