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The quenched central limit theorem for a model of random walk in random environment


Abstract

In the present paper we provide a proof of the quenched central limit theorem for the random walk in random environment model introduced by Boldrighini, Minlos, and Pellegrinotti in [3].

У цій статті дано доведення квенч-центральної граничної теореми для випадкових блукань у моделі з випадковим середовищем, запропонованій Болдрігіні, Мінлосом і Пеллегринотті [3].

Key words: Random walk in random environment; quenched central limit theorem; multidimensional martingale central limit theorem.


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Article Information

TitleThe quenched central limit theorem for a model of random walk in random environment
SourceMethods Funct. Anal. Topology, Vol. 26 (2020), no. 4, 311-316
DOI10.31392/MFAT-npu26_4.2020.02
MilestonesReeived 5/10/2019; Revised 8/8/2020
CopyrightThe Author(s) 2020 (CC BY-SA)

Authors Information

Viktor Bezborodov

Luca Di Persio
Dept. of Comp. Siene - University of Verona (Italy)


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Citation Example

Viktor Bezborodov and Luca Di Persio, The quenched central limit theorem for a model of random walk in random environment, Methods Funct. Anal. Topology 26 (2020), no. 4, 311-316.


BibTex

@article {MFAT1446,
    AUTHOR = {Viktor Bezborodov and Luca Di Persio},
     TITLE = {The quenched central limit theorem for a model of random walk in random environment},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {26},
      YEAR = {2020},
    NUMBER = {4},
     PAGES = {311-316},
      ISSN = {1029-3531},
       DOI = {10.31392/MFAT-npu26_4.2020.02},
       URL = {http://mfat.imath.kiev.ua/article/?id=1446},
}


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