Literature DB >> 3041408

Discrete-time random walks on diagrams (graphs) with cycles.

T L Hill1.   

Abstract

After a review of the diagram method for continuous-time random walks on graphs with cycles, the method is extended to discrete-time random walks. The basic theorems carry over formally from continuous time to discrete time. Three problems in tennis probabilities are used to illustrate random walks on discrete-time diagrams with cycles.

Mesh：

Year:  1988        PMID： 3041408      PMCID： PMC281752          DOI： 10.1073/pnas.85.15.5345

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN： 0027-8424            Impact factor:   11.205


  6 in total

1.  Further properties of random walks on diagrams (graphs) with and without cycles.

Authors:  T L Hill
Journal:  Proc Natl Acad Sci U S A       Date:  1988-05       Impact factor: 11.205

2.  Interrelations between random walks on diagrams (graphs) with and without cycles.

Authors:  T L Hill
Journal:  Proc Natl Acad Sci U S A       Date:  1988-05       Impact factor: 11.205

3.  Number of visits to a state in a random walk, before absorption, and related topics.

Authors:  T L Hill
Journal:  Proc Natl Acad Sci U S A       Date:  1988-07       Impact factor: 11.205

4.  Markov chain as a model of Hill's theory on circulation.

Authors:  C Qian; M Qian; M P Qian
Journal:  Sci Sin       Date:  1981-10

5.  The frequency of cyclic processes in biological multistate systems.

Authors:  H H Kohler; E Vollmerhaus
Journal:  J Math Biol       Date:  1980-05       Impact factor: 2.259

6.  Studies in irreversible thermodynamics. IV. Diagrammatic representation of steady state fluxes for unimolecular systems.

Authors:  T L Hill
Journal:  J Theor Biol       Date:  1966-04       Impact factor: 2.691
  6 in total
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