Local Limits for String of Frozen Characters

A. Logachov, A. A. Mogulsky, E. Prokopenko, A. A. Yambartsev

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

The model we study belongs to a wide class of Markov processes called strings of characters. The model consists of a transient random walk on integers which write and re-write letters (characters) from some finite alphabet on its location. We apply the precise asymptotic theorems established for compound semi-Markov renewal process (CSRP) to study the asymptotics of the statistics of frozen characters, that is the characters on the integers that never will be visited again after some (increasing) time.

Язык оригиналаанглийский
Страницы (с-по)885-899
Число страниц15
ЖурналMarkov Processes And Related Fields
Том26
Номер выпуска5
СостояниеОпубликовано - 2020

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