Valeri Berikashvili

Academic Doctor of Science

Muskhelishvili Institute of Computational Mathematics

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The law of large numbers for weakly correlated random elements in the spaces l_p,1≤p<∞.V. Berikashvili, G. Giorgobiani, V. KvaratskheliaarticleLithuanian Mathematical Journal, 2022IF - 0.519, SJR - 0.295 ISSN: 0363-1672 10.1007/s10986-022-09564-xenglishState Targeted Program

XII Annual International Meeting of the Georgian Mechanical Union. Dedicated to 130 birthday anniversary of academician N. MuskhelishviliKutaisi, Georgia202109/09/2021 - 11/09/2021Georgian Mechanical UnionThe Law of Large Numbers in $l_p$ spacesoral

The Law of Large Numbers for the weakly correlated random elements in $l_p$ spaces is presented

https://atsu.edu.ge/index.php/en/teqnikuri-news-eng/2349-meqanikosta-yovelwliuri-saert-konferencia-eng
XI Annual International Conference of the Georgian Mathematical UnionBatumi, Georgia202123/08/2021 - 28/08/2021Georgian Mathematical UnionThe Law of Large Numbers for Weakly Correlated Random Elements in the Spaces $l_p$oral

The Law of Large Numbers for the weakly correlated random elements in $l_p$ spaces is presented

http://gmu.gtu.ge/Batumi2021/
XXXV Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Iv. Javakhishvili Tbilisi State UniversityTbilisi, Georgia202121/04/2021 - 24/04/2021I. Vekua Institute of Applied Mathematics of the Iv. Javakhishvili Tbilisi State UniversityThe law of large numbers of weakly correlated random elements with values in $l_p, 1\le p<\infty$oral

In the presentation Khinchine's result for weakly correlated random variables is generalized for random elements with values in $l_p$

Abstracts of communications, http://www.viam.science.tsu.ge/enlarged/2021/abstracts_eng.pdf
X Annual International Conference of the Georgian Mathematical UnionBatumi, Georgia201902/09/2019 - 07/09/2019Georgian Mathematical UnionAn application of Yu. V. Prokhorov’s SLLNoral

An application of Yu. V. Prokhorov's SLLN is presented

http://gmu.ge/Batumi2019/
9th International conference of the Georgian Mathematical UnionBatumi, Georgia201803/09/2018 - 08/09/2018Georgian Mathematical UnionThe Law of Large Numbers for Weakly Dependent Random Elements in Hilbert Spacesoral

Weakly Dependent Random Elements in Hilbert Spaces is presented

Book of Abstracts http://gmu.ge/Batumi2018/
Ivane Javakhishvili Tbilisi State University Second Student Conference in Exact and Natural SciencesTbilisi, Georgia201401/07/2014 - 10/07/2014Iv. Javakhishvili Tbilisi State UniversityThe law of large numbers in the Hilbert spaceoral

Since the second half of the last century, the study of boundary theorems in infinite-dimensional spaces began, which added its own specifics to these problems. The last part of the article is devoted to the law of large numbers in a separable Hilbert space. In particular, analogies of Khinchin's and Bernstein's theorems in the case of a Hilbert space are formulated and proved.

http://conference.sens-2014.tsu.ge/page/program/3
"Ivane Javakhishvili Tbilisi State University First Student Conference in Exact and Natural Sciences "Tbilisi, Georgia201304/07/2013 - 11/07/2013Iv. Javakhishvili Tbilisi State UniversityLinear topological spacesoral

The project discusses and studies general topological spaces, their properties, knowledge of which is necessary for setting and characterizing probabilistic dimensions in such spaces

http://conference.sens-2013.tsu.ge/page/program/3

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Scientific editor of monographs in foreign languages


Scientific editor of a monograph in Georgian


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SRNSF Compatriots DI-18-1429 project “Applications of probabilistic methods in discrete optimization and scheduling theory”SRNSF 2018-2021young researcher

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The law of large numbers for weakly correlated random elements in the spaces l_p,1≤p<∞.State Target Program

We prove an analogue of Khinchin’s theorem for weakly correlated random elements with values in the spaces l_p,1≤p<∞

DOI 10.1007/s10986-022-09564-x

Publication in Scientific Conference Proceedings Indexed in Web of Science and Scopus