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Rostislav Grigorchuk

Rostislav Grigorchuk

D-Index & Metrics

Mathematics

D-Index
32
Citations
5444
World Ranking
3152
National Ranking
1264

Research.com Recognitions

  • 2015 - Steele Prize for Seminal Contribution to Research
  • 2013 - Fellow of the American Mathematical Society

Overview

Rostislav Grigorchuk is affiliated with Texas A&M University in the United States. Their research primarily spans the field of Mathematics, with significant contributions across several subfields, including Mathematical Physics, Geometry and Topology, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, and Statistical and Nonlinear Physics.

Their main research topics encompass:

  • Mathematical Dynamics and Fractals
  • Geometric and Algebraic Topology
  • Semigroups and Automata Theory
  • Spectral Theory in Mathematical Physics
  • Advanced Operator Algebra Research
  • Graph Theory and Applications
  • Topological and Geometric Data Analysis

Key recent papers authored or co-authored by Grigorchuk include:

  • "Self-Similar Groups and Holomorphic Dynamics: Renormalization, Integrability, and Spectrum" (2023, Arnold Mathematical Journal)
  • "Integrable and Chaotic Systems Associated with Fractal Groups" (2021, MDPI)
  • "Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs" (2022, Advances in Mathematics)
  • "On the question "Can one hear the shape of a group?" and a Hulanicki type theorem for graphs" (2020, Israel Journal of Mathematics)
  • "On Spectra and Spectral Measures of Schreier and Cayley Graphs" (2021, International Mathematics Research Notices)

Among frequent co-authors throughout their career are:

  • Artem Dudko
  • Dmytro Savchuk
  • Tatiana Nagnibeda
  • Roman Kogan
  • З. Д. Воробец

Grigorchuk's publications appear regularly in a variety of academic venues, with notable frequency in:

  • arXiv (Cornell University)
  • Transactions of the American Mathematical Society
  • Algebra and Discrete Mathematics
  • Journal of Groups Complexity Cryptology
  • Arnold Mathematical Journal

The scientist has been recognized with awards such as the Steele Prize for Seminal Contribution to Research in 2015 and was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Degrees of Growth of Finitely Generated Groups, and the Theory of Invariant Means

    R I Grigorchuk

  • Bernside's problem on periodic groups

    R. I. Grigorchuk

  • Just Infinite Branch Groups

    R. I. Grigorchuk

  • The Lamplighter Group as a Group Generated by a 2-state Automaton, and its Spectrum*

    R I Grigorchuk;A Zuk

  • From fractal groups to fractal sets

    Laurent Bartholdi;Rostislav Grigorchuk;Volodymyr V. Nekrashevych

  • Branch groups

    R. I. Grigorchuk

  • On the spectrum of Hecke type operators related to some fractal groups.

    Laurent Bartholdi;Rostislav Grigorchuk

  • ON A TORSION-FREE WEAKLY BRANCH GROUP DEFINED BY A THREE STATE AUTOMATON

    Rostislav I. Grigorchuk;Andrzej Żuk

  • On problems related to growth, entropy, and spectrum in group theory

    R. Grigorchuk;P. De La Harpe

  • Solved and Unsolved Problems Around One Group

    Rostislav Grigorchuk

  • An example of a finitely presented amenable group not belonging to the class EG

    R I Grigorchuk

  • ON THE GROWTH DEGREES OF $ p$-GROUPS AND TORSION-FREE GROUPS

    R I Grigorchuk

  • On Parabolic Subgroups and Hecke Algebras of Some Fractal Groups

    Laurent Bartholdi;Rostislav I. Grigorchuk

  • On a question of Atiyah

    Rostislav I. Grigorchuk;Peter Linnell;Thomas Schick;Andrzej Żuk

  • AMENABILITY AND PARADOXICAL DECOMPOSITIONS FOR PSEUDOGROUPS AND FOR DISCRETE METRIC SPACES

    Tullio Ceccherini-Silberstein;Rostislav I. Grigorchuk;Pierre de la Harpe

  • Asymptotic aspects of Schreier graphs and Hanoi Towers groups

    Rostislav Grigorchuk;Zoran Šunik

  • Groups St Andrews 2005: Self-similarity and branching in group theory

    Rostislav Grigorchuk;Zoran Šunić

  • On a conjecture of Atiyah

    R. I. Grigorchuk;P. Linnell;T. Schick;A. Zuk

  • A Structural Property Concerning Abstract Commensurability of Subgroups

    R. I. Grigorchuk;J. S. Wilson

  • Groups of Intermediate Growth, an Introduction

    Rostislav Grigorchuk;Igor Pak

  • Topological and Asymptotic Aspects of Group Theory

    Rostislav Grigorchuk;Michael Mihalik;Mark Sapir;Zoran Šuniḱ

Frequent Co-Authors

Daniel Lenz
Daniel Lenz Friedrich Schiller University Jena
Mikael Rørdam
Mikael Rørdam University of Copenhagen
S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Thomas Schick
Thomas Schick University of Göttingen
Igor Pak
Igor Pak University of California, Los Angeles
Anatole Katok
Anatole Katok Pennsylvania State University
Yakov G. Sinai
Yakov G. Sinai Princeton University
Mark Sapir
Mark Sapir Vanderbilt University

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