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How many random walks correspond to a given set of return probabilities to the origin?

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Publication:1374617
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DOI10.1016/S0304-4149(96)00083-XzbMath0879.60067MaRDI QIDQ1374617

William J. Studden, Dette, Holger

Publication date: 10 December 1997

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)


zbMATH Keywords

Markov chainspectral measurecontinued fractionsrandom walkcanonical momentsreturn probabilities


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Moment problems (44A60) Continued fractions (11A55)


Related Items (2)

How many random walks correspond to a given set of return probabilities to the origin? ⋮ Analysis of random walks using orthogonal polynomials



Cites Work

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  • Random walks
  • Principal representations and canonical moment sequences for distributions on an interval
  • Combinatorial aspects of continued fractions
  • An application of orthogonal polynomials to random walks
  • Random walk polynomials and random walk measures
  • How many random walks correspond to a given set of return probabilities to the origin?


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