Standard

Local Limits for String of Frozen Characters. / Logachov, A.; Mogulsky, A. A.; Prokopenko, E. et al.

In: Markov Processes And Related Fields, Vol. 26, No. 5, 2020, p. 885-899.

Research output: Contribution to journal › Article › peer-review

Harvard

Logachov, A, Mogulsky, AA, Prokopenko, E & Yambartsev, AA 2020, 'Local Limits for String of Frozen Characters', Markov Processes And Related Fields, vol. 26, no. 5, pp. 885-899.

APA

Logachov, A., Mogulsky, A. A., Prokopenko, E., & Yambartsev, A. A. (2020). Local Limits for String of Frozen Characters. Markov Processes And Related Fields, 26(5), 885-899.

Vancouver

Logachov A, Mogulsky AA, Prokopenko E, Yambartsev AA. Local Limits for String of Frozen Characters. Markov Processes And Related Fields. 2020;26(5):885-899.

Author

Logachov, A. ; Mogulsky, A. A. ; Prokopenko, E. et al. / Local Limits for String of Frozen Characters. In: Markov Processes And Related Fields. 2020 ; Vol. 26, No. 5. pp. 885-899.

BibTeX

@article{66a5a156a2a84550a8c2f49f295a07ce,
title = "Local Limits for String of Frozen Characters",
abstract = "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.",
keywords = "compound semi-Markov renewal process (CSRP), large deviation principle, normal deviations, moderate deviation",
author = "A. Logachov and Mogulsky, {A. A.} and E. Prokopenko and Yambartsev, {A. A.}",
year = "2020",
language = "English",
volume = "26",
pages = "885--899",
journal = "Markov Processes And Related Fields",
issn = "1024-2953",
publisher = "Polymat",
number = "5",

}

RIS

TY - JOUR

T1 - Local Limits for String of Frozen Characters

AU - Logachov, A.

AU - Mogulsky, A. A.

AU - Prokopenko, E.

AU - Yambartsev, A. A.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - compound semi-Markov renewal process (CSRP)

KW - large deviation principle

KW - normal deviations

KW - moderate deviation

UR - http://math-mprf.org/journal/articles/id1599/

M3 - Article

VL - 26

SP - 885

EP - 899

JO - Markov Processes And Related Fields

JF - Markov Processes And Related Fields

SN - 1024-2953

IS - 5

ER -

ID: 27912775