Large Deviation Principle for Terminating Multidimensional Compound Renewal Processes with Application to Polymer Pinning Models

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Large Deviation Principle for Terminating Multidimensional Compound Renewal Processes with Application to Polymer Pinning Models. / Logachov, A. V.; Mogulskii, A. A.; Prokopenko, E. I.

в: Problems of Information Transmission, Том 58, № 2, 04.2022, стр. 144-159.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{b633573632c94e13ac58d94a419027a8,

title = "Large Deviation Principle for Terminating Multidimensional Compound Renewal Processes with Application to Polymer Pinning Models",

abstract = "We obtain a large deviations principle for terminating multidimensional compound renewal processes. We also obtain the asymptotics of large deviations for the case where a Gibbs change of the original probability measure takes place. The random processes mentioned in the paper are widely used in polymer pinning models.",

keywords = "compound renewal process, Gibbs change of the probability measure, large deviations principle, polymer pinning models, rate function",

author = "Logachov, {A. V.} and Mogulskii, {A. A.} and Prokopenko, {E. I.}",

note = "Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Inc.",

year = "2022",

month = apr,

doi = "10.1134/S0032946022020053",

language = "English",

volume = "58",

pages = "144--159",

journal = "Problems of Information Transmission",

issn = "0032-9460",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - Large Deviation Principle for Terminating Multidimensional Compound Renewal Processes with Application to Polymer Pinning Models

AU - Logachov, A. V.

AU - Mogulskii, A. A.

AU - Prokopenko, E. I.

PY - 2022/4

Y1 - 2022/4

N2 - We obtain a large deviations principle for terminating multidimensional compound renewal processes. We also obtain the asymptotics of large deviations for the case where a Gibbs change of the original probability measure takes place. The random processes mentioned in the paper are widely used in polymer pinning models.

AB - We obtain a large deviations principle for terminating multidimensional compound renewal processes. We also obtain the asymptotics of large deviations for the case where a Gibbs change of the original probability measure takes place. The random processes mentioned in the paper are widely used in polymer pinning models.

KW - compound renewal process

KW - Gibbs change of the probability measure

KW - large deviations principle

KW - polymer pinning models

KW - rate function

UR - http://www.scopus.com/inward/record.url?scp=85134080433&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/1a6e5202-b4d5-3769-bf2e-21d288d2a79d/

U2 - 10.1134/S0032946022020053

DO - 10.1134/S0032946022020053

M3 - Article

AN - SCOPUS:85134080433

VL - 58

SP - 144

EP - 159

JO - Problems of Information Transmission

JF - Problems of Information Transmission

SN - 0032-9460

IS - 2

ER -

ID: 36777797