JaLCDOI 10.18926/fest/11593
FullText URL 002_001_008.pdf
Author Hora, Akihito|
Abstract An aspect of the cut-off phenomenon is reviewed. It is a sort of critical phenomenon observed in a wide variety of diffusion. We introduce a framework in which such a phenomenon can be understood and analyzed in a rigorous manner. We illustrate the mechanism with some concrete models.
Keywords cut-off phenomenon critical time diffusion Markov chain on a graph symmetry
Publication Title 岡山大学環境理工学部研究報告
Published Date 1997-01-10
Volume volume2
Issue issue1
Start Page 1
End Page 8
ISSN 1341-9099
language 英語
File Version publisher
NAID 120002313764
JaLCDOI 10.18926/fest/11604
FullText URL 001_021_026.pdf
Author Hora, Akihito|
Abstract Let G be a topological group acting on S transitively from the left with a compact stabilizer K. We show that every isotropic (i.e. spatially homogeneous w.r.t. the G-actions) Markov chain on S can be lifted to a right random walk on G and give a one-to-one correspondence between the isotropic Markov chains on S and the totality of sequences of probabilities (ν,μ1,μ2,・・・) where ν is a probability on G/K and each μn is that on K\G/K.
Keywords random walk Markov chain
Publication Title 岡山大学環境理工学部研究報告
Published Date 1996-03
Volume volume1
Issue issue1
Start Page 21
End Page 26
ISSN 1341-9099
language 英語
File Version publisher
NAID 120002313549