The Markov Oscillation Problem in Discrete Time | Zendy

Dai Yonglong | Zendy; Renshaw Eric | Zendy

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The Markov Oscillation Problem in Discrete Time

Author(s) -

Dai Yonglong,

Renshaw Eric

Publication year - 2000

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610799008364

Subject(s) - sequence (biology) , infimum and supremum , renewal theory , markov chain , markov renewal process , discrete time and continuous time , series (stratigraphy) , oscillation (cell signaling) , mathematics , process (computing) , markov process , computer science , time sequence , algorithm , discrete mathematics , markov model , variable order markov model , statistics , biology , operating system , paleontology , genetics

Consider a discrete‐time regenerative phenomenon with associated renewal sequence u n . General results for the supremum of u m +1 , …, u m + n are developed for those renewal sequences { u n } for which the first m + 1 elements match those of a fixed renewal sequence { v n }, that is, u 0 = v 0 , …, u m = v m . A series of associated lemmas are developed in the process.

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