Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoriya Veroyatnostei i ee Primeneniya, 2023, Volume 68, Issue 2, Pages 322–343
DOI: https://doi.org/10.4213/tvp5532 (Mi tvp5532) 		 
Quenched small deviation for the trajectory of a random walk with random environment in time

Y. Lva, W. Hongb

a College of Science, Donghua University, Shanghai, China
b School of Mathematical Sciences and Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing, China
Full-text PDF (587 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tvp5532
Abstract: We consider the small deviation probability for a random walk with random environment in time. Compared to [A. A. Mogul'skii, Theory Probab. Appl., 19 (1975), pp. 726–736], for the independent and identically distributed (i.i.d.) random walk, the rate is smaller (due to the random environment), which is specified in terms of the quenched and annealed variance.
Keywords: random environment, small deviation probability, partial sums of independent random variables.
Funding agency Grant number
Fundamental Research Funds for the Central Universities of China 2232021D-30
National Natural Science Foundation of China 11971062
National Key Research and Development Program of China 2020YFA0712900
This work was supported by the Fundamental Research Funds for the Central Universities (№ 2232021D-30), the National Key Research and Development Program of China (№ 2020YFA0712900), and the National Natural Science Foundation of China (№ 11971062).
Received: 08.10.2021
Revised: 14.06.2022
English version:
Theory of Probability and its Applications, 2023, Volume 68, Issue 2, Pages 267–284
DOI: https://doi.org/10.1137/S0040585X97T991404
Bibliographic databases:
Document Type: Article
MSC: 60G50
Language: Russian
Citation: Y. Lv, W. Hong, “Quenched small deviation for the trajectory of a random walk with random environment in time”, Teor. Veroyatnost. i Primenen., 68:2 (2023), 322–343; Theory Probab. Appl., 68:2 (2023), 267–284
Citation in format AMSBIB
\Bibitem{LvHon23}
\by Y.~Lv, W.~Hong
\paper Quenched small deviation for the trajectory of a~random walk with random environment in time
\jour Teor. Veroyatnost. i Primenen.
\yr 2023
\vol 68
\issue 2
\pages 322--343
\mathnet{http://mi.mathnet.ru/tvp5532}
\crossref{https://doi.org/10.4213/tvp5532}
\transl
\jour Theory Probab. Appl.
\yr 2023
\vol 68
\issue 2
\pages 267--284
\crossref{https://doi.org/10.1137/S0040585X97T991404}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85165879402}
Linking options:
  • https://www.mathnet.ru/eng/tvp5532
  • https://doi.org/10.4213/tvp5532
  • https://www.mathnet.ru/eng/tvp/v68/i2/p322
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:97
    Full-text PDF :8
    References:21
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024