Rostislav I. Grigorchuk

Geometry and Topology · 2000–2016

A researcher in the Science corpus: 15 papers; trusts 61 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 100 citations into it; #719 of 7,422 by trust here, #521 by citations
• Mathematical Physics — 89 citations into it; #1,186 of 8,562 by trust here, #754 by citations
• Computational Theory and Mathematics — 67 citations into it; #1,296 of 12,182 by trust here, #2,251 by citations
• Discrete Mathematics and Combinatorics — 20 citations into it; #179 of 2,017 by trust here, #186 by citations
• Algebra and Number Theory — 7 citations into it
• Applied Mathematics — 7 citations into it
• Statistical and Nonlinear Physics — 6 citations into it
• Atomic and Molecular Physics, and Optics — 5 citations into it

Whom Rostislav I. Grigorchuk trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. A. Erschler
2. Laurent Bartholdi
3. Marc Lackenby
4. Yaroslav Vorobets
5. Volodymyr V. Nekrashevych
6. Misha Gromov
7. Said Najati Sidki
8. Alexander S. Kechris
9. B'alint Vir'ag
10. Anders Karlsson

Who trusts Rostislav I. Grigorchuk overall

1. Volodymyr V. Nekrashevych
2. Yaroslav Vorobets
3. Miklós Abért
4. Ievgen V. Bondarenko
5. Laurent Bartholdi
6. Zoran Sunic
7. B'alint Vir'ag
8. A. Erschler
9. Yair Glasner
10. Warren Dicks

Papers from Rostislav I. Grigorchuk's perspective

Ordered by how strongly the researchers Rostislav I. Grigorchuk trusts endorse each paper. Same corpus, a different order for every researcher.

1. Automorphisms of one-rooted trees: Growth, circuit structure, and acyclicity
2. Random Walks on Infinite Graphs and Groups: Bibliography
3. Self-Similar Groups
4. On Isoperimetric Profiles of Finitely Generated Groups
5. Combinatorial Group Theory
6. Solved and Unsolved Problems Around One Group
7. Amenability via random walks
8. Piecewise automatic groups
9. Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
10. A Structural Property Concerning Abstract Commensurability of Subgroups

Their papers

• Just Infinite Branch Groups (2000) — 231 citations
• Solved and Unsolved Problems Around One Group (2005) — 159 citations
• Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces (2016) — 132 citations
• A Structural Property Concerning Abstract Commensurability of Subgroups (2003) — 46 citations
• The Lamplighter Group as a Group Generated by a 2-state Automaton, and its Spectrum (2001) — 267 citations
• Some topics in the dynamics of group actions on rooted trees (2011) — 89 citations
• Milnor's Problem on the Growth of Groups and its Consequences (2011) — 70 citations
• Groups of Intermediate Growth, an Introduction (2008) — 55 citations
• Classification of groups generated by 3-state automata over a 2-letter alphabet (2008) — 54 citations
• Schreier spectrum of the Hanoi Towers group on three pegs (2007) — 54 citations
• Groups St Andrews 2005: Self-similarity and branching in group theory (2007) — 62 citations
• Asymptotic aspects of Schreier graphs and Hanoi Towers groups (2006) — 105 citations
• Branch groups (2005) — 217 citations
• Spectral properties of a torsion-free weakly branch group defined by a three state automaton (2002) — 56 citations
• Lie Methods in Growth of Groups and Groups of Finite Width (2000) — 66 citations