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Amenability versus property (T) for non-locally compact topological groups

Transactions of the American Mathematical Society, 2018-10, Vol.370 (10), p.7417-7436

PESTOV, VLADIMIR G.

2018

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Hyperlinear and Sofic Groups: A Brief Guide

The bulletin of symbolic logic, 2008-12, Vol.14 (4), p.449-480

Pestov, Vladimir G.

2008

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Projectively universal countable metrizable groups

Proceedings of the American Mathematical Society, 2016-10, Vol.144 (10), p.4527-4532

2016

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Is the k-NN classifier in high dimensions affected by the curse of dimensionality?

Computers & mathematics with applications (1987), 2013-05, Vol.65 (10), p.1427-1437

Pestov, Vladimir

2013

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Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program

2013, 2013

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An amenability-like property of finite energy path and loop groups

Comptes rendus. Mathématique, 2021-01, Vol.358 (11-12), p.1139-1155

Pestov, Vladimir

2021

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On topological groups with an approximate fixed point property

Anais da Academia Brasileira de Ciências, 2017-03, Vol.89 (1), p.19-30

2017

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Amenability of finite energy path and loop groups

Groups, geometry and dynamics, 2024-10

Pestov, Vladimir G.

2024

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SOME EXTREMELY AMENABLE GROUPS RELATED TO OPERATOR ALGEBRAS AND ERGODIC THEORY

Journal of the Institute of Mathematics of Jussieu, 2007-04, Vol.6 (2), p.279-315

2007

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On the geometry of similarity search: Dimensionality curse and concentration of measure

Information processing letters, 2000-01, Vol.73 (1), p.47-51

Pestov, Vladimir

2000

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Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

1st ed. 2015, 2015

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On a result of K. P. Hart about non-existence of measurable solutions to the discrete expectation maximization problem

Commentationes mathematicae Universitatis Carolinae, 2024-03, Vol.64 (3), p.353-358

Pestov, Vladimir G.

2024

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Universal consistency of the k -NN rule in metric spaces and Nagata dimension

Probability and statistics, 2020, Vol.24, p.914-934

2020

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Universal consistency of the k -NN rule in metric spaces and Nagata dimension. II

Probability and statistics, 2024, Vol.28, p.132-160

2024

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Lower Bounds on Performance of Metric Tree Indexing Schemes for Exact Similarity Search in High Dimensions

Algorithmica, 2013-06, Vol.66 (2), p.310-328

Pestov, Vladimir

2013

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A topological transformation group without non-trivial equivariant compactifications

Advances in mathematics (New York. 1965), 2017-04, Vol.311, p.1-17

Pestov, Vladimir G.

2017

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Similarity Search and Applications: 5th International Conference, SISAP 2012, Toronto, ON, Canada, August 9-10, 2012, Proceedings

2012, 2012

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An axiomatic approach to intrinsic dimension of a dataset

Neural networks, 2008-03, Vol.21 (2-3), p.204-213

Pestov, Vladimir

2008

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A note on the groups of finite type and the Hartman–Mycielski construction

Colloquium mathematicum, 2021, Vol.164 (2), p.171-174

Pestov, Vladimir G.

2021

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PAC learnability under non-atomic measures: A problem by Vidyasagar

Theoretical computer science, 2013-02, Vol.473, p.29-45

Pestov, Vladimir

2013

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Indexability, concentration, and VC theory

Journal of discrete algorithms (Amsterdam, Netherlands), 2012-05, Vol.13, p.2-18

Pestov, Vladimir

2012

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On amenability and groups of measurable maps

Journal of functional analysis, 2017-12, Vol.273 (12), p.3859-3874

2017

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Editorial

Information systems (Oxford), 2014-09, Vol.45, p.35-36

2014

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On free actions, minimal flows, and a problem by Ellis

Transactions of the American Mathematical Society, 1998-10, Vol.350 (10), p.4149-4165

Pestov, Vladimir G.

1998

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Fixed point-free isometric actions of topological groups on Banach spaces

Bulletin of the Belgian Mathematical Society, Simon Stevin, 2010-01, Vol.17 (1), p.29-51

2010

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Amenability versus property (T) for non-locally compact topological groups

Hyperlinear and Sofic Groups: A Brief Guide

Projectively universal countable metrizable groups

Is the k-NN classifier in high dimensions affected by the curse of dimensionality?

Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program

An amenability-like property of finite energy path and loop groups

On topological groups with an approximate fixed point property

Amenability of finite energy path and loop groups

SOME EXTREMELY AMENABLE GROUPS RELATED TO OPERATOR ALGEBRAS AND ERGODIC THEORY

On the geometry of similarity search: Dimensionality curse and concentration of measure

Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

On a result of K. P. Hart about non-existence of measurable solutions to the discrete expectation maximization problem

Universal consistency of the k -NN rule in metric spaces and Nagata dimension

Universal consistency of the k -NN rule in metric spaces and Nagata dimension. II

Lower Bounds on Performance of Metric Tree Indexing Schemes for Exact Similarity Search in High Dimensions

A topological transformation group without non-trivial equivariant compactifications

Similarity Search and Applications: 5th International Conference, SISAP 2012, Toronto, ON, Canada, August 9-10, 2012, Proceedings

An axiomatic approach to intrinsic dimension of a dataset

A note on the groups of finite type and the Hartman–Mycielski construction

PAC learnability under non-atomic measures: A problem by Vidyasagar

Indexability, concentration, and VC theory

On amenability and groups of measurable maps

Editorial

On free actions, minimal flows, and a problem by Ellis

Fixed point-free isometric actions of topological groups on Banach spaces

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