Geodesic
Nonnegative chainable matrices and Kolmogorov's condition
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXIV, Tome 504 (2021), pp. 5-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper proves that an indecomposable nonnegative matrix is chainable if and only if it satisfies Kolmogorov's condition, under which the Markov chain determined by a stochastic matrix obeys the multidimensional local limit theorem. 
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Yu. A. Al'pin; I. V. Bashkin. Nonnegative chainable matrices and Kolmogorov's condition. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXIV, Tome 504 (2021), pp. 5-20. http://geodesic.mathdoc.fr/item/ZNSL_2021_504_a0/

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