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

Standard

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

In: Problems of Information Transmission, Vol. 58, No. 2, 04.2022, p. 144-159.

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

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