Geodesic
On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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A sufficient condition is obtained for a discrete-time birth-death process to possess the strong ratio limit property, directly in terms of the one-step transition probabilities of the process. The condition encompasses all previously known sufficient conditions.
Keywords: (a)periodicity; birth-death process; orthogonal polynomials; random walk measure; ratio limit; transition probability. 
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     author = {Erik A. van Doorn},
     title = {On the {Strong} {Ratio} {Limit} {Property} for {Discrete-Time} {Birth-Death} {Processes}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a46/}
}
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Erik A. van Doorn. On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a46/

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