The formal theory of birth-and-death processes, lattice path combinatorics and continued fractions

By Philippe Flajolet, Fabrice Michel Guillemin. Advances in Applied Probability, 2000

89 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/28558688987d403fdbf170d4fdff34417403d178

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In Discrete Mathematics and Combinatorics

1. Philippe Dumas
2. Vincent Puyhaubert
3. Philippe Flajolet
4. Sergi Elizalde
5. Richard P. Stanley
6. R. Stephenson

In Mathematical Physics

1. Philippe Dumas
2. Vincent Puyhaubert
3. Philippe Flajolet

In Statistical and Nonlinear Physics

1. Philippe Dumas
2. Vincent Puyhaubert
3. Philippe Flajolet

Citations in the corpus

• Some exactly solvable models of urn process theory (2006, methodology): “(27) See Goulden-Jackson [50] for details of this approach in the case of Ehrenfest’s urn and Flajolet-Guillemin [33] for an extension of the continued fraction framework to continuous-time models.”
• THE FERMAT CUBIC, ELLIPTIC FUNCTIONS, CONTINUED FRACTIONS, AND A COMBINATORIAL EXCURSION (2005, unknown): “12Thanks to works of Karlin and McGregor in the 1950’s, many stochastic characteristics of a process can be described in terms of a continued fraction, its OPS, and its orthogonality measure(s); see for instance [23] for a recent review.”