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arXiv · 1912.00285

Permanental sequences that are related to a Markov chain example of Kolmogorov

Michael B. Marcus·Jay Rosen
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Abstract

Permanental sequences with non-symmetric kernels that are generalization of the potentials of a Markov chain with state space $\{0,1/2, \ldots, 1/n,\ldots\}$ that was introduced by Kolmogorov, are studied. Depending on a parameter in the kernels we obtain an exact rate of divergence of the sequence at $0$, an exact local modulus of continuity of the sequence at $0$, or a precise bounded discontinuity for the sequence at $0$.

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Michael B. Marcus, Jay Rosen. 2019-11-30. Permanental sequences that are related to a Markov chain example of Kolmogorov. https://arxiv.org/abs/1912.00285

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