V. Pestov

发表

Free Banach spaces and representations of topological groups

V. Pestov, 1986 .

Predictive PAC Learnability: A Paradigm for Learning from Exchangeable Input Data

Vladimir Pestov, V. Pestov, 2010, 2010 IEEE International Conference on Granular Computing.

Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups

V. Pestov, A. Kechris, S. Todorcevic, 2003 .

On the structure of DeWitt supermanifolds

V. Pestov, U. Bruzzo, 1999 .

Subgroups of monothetic groups

V. Pestov, S. Morris, 1999, math/9907128.

Operator spaces and residually finite-dimensional $C^\ast$-algebras

V. Pestov, 1993, funct-an/9302007.

Universal arrows to forgetful functors from categories of topological algebra

V. Pestov, 1992, Bulletin of the Australian Mathematical Society.

The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval

V. Pestov, S. Morris, A. Leiderman, 1992, funct-an/9212001.

HIM Trimester Program on Analysis and Numerics for High Dimensional Problems

I. Sloan, V. Pestov, M. Hegland, 2011 .

METRIC SPACES , AND EXTREMELY AMENABLE GROUPS

V. Pestov, 2008 .

Forty-plus annotated questions about large topological groups

V. Pestov, 2005, math/0512564.

A corrigendum to the article: Ramsey-milman phenomenon, urysohn metric spaces, and extremely amenable groups

V. Pestov, 2005 .

Analytic subsets of Hilbert spaces

V. Pestov, 1995, dg-ga/9503011.

Proceedings of the 5th international conference on Similarity Search and Applications

Gonzalo Navarro, Vladimir Pestov, V. Pestov, 2012, SISAP 2012.

Universal minimal flows of automorphism groups

V. Pestov, A. Kechris, S. Todorcevic, 2003 .

THÉORIE DE RAMSEY STRUCTURALE ET APPLICATIONS EN DYNAMIQUE VIA LA CORRESPONDANCE DE KECHRIS-PESTOV-TODORCEVIC

Nguyen Van The, N. Sauer, J. Nesetril, 2013 .

Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups

V. Pestov, 2000, math/0004010.

Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups

V. Pestov, A. Kechris, S. Todorcevic, 2003, math/0305241.

Forty-plus annotated questions about large topological groups

V. Pestov, 2005, math/0512564.

SOME EXTREMELY AMENABLE GROUPS RELATED TO OPERATOR ALGEBRAS AND ERGODIC THEORY

V. Pestov, T. Giordano, 2004, Journal of the Institute of Mathematics of Jussieu.

The isometry group of the Urysohn space as a Lévy group

V. Pestov, 2005, math/0509402.

Remarks on actions on compacta by some infinite-dimensional groups

V. Pestov, 2002, math/0204202.

mm-Spaces and group actions

V. Pestov, 2001, math/0110287.

Some extremely amenable groups

V. Pestov, T. Giordano, 2001, math/0109138.

Some universal constructions in abstract topological dynamics

V. Pestov, 1997, funct-an/9705003.

On linear continuous open surjections of the spaces CP(X)

V. Pestov, A. Leiderman, M. Levin, 1997 .

Universal arrows to forgetful functors from categories of topological algebra

V. Pestov, 1992, Bulletin of the Australian Mathematical Society.

A universally consistent learning rule with a universally monotone error

V. Pestov, 2021, ArXiv.

Uniformities and uniformly continuous functions on locally connected groups

V. Pestov, M. Megrelishvili, P. Nickolas, 1997, Bulletin of the Australian Mathematical Society.

Projectively universal countable metrizable groups

V. Pestov, V. Uspenskij, 2014, 1409.4108.

On a universality property of some abelian Polish groups

V. Pestov, Su Gao, 2002, math/0205291.

Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space

V. Pestov, 1999, math/9903085.

A theorem of Hrushovski–Solecki–Vershik applied to uniform and coarse embeddings of the Urysohn metric space

V. Pestov, 2007, math/0702207.

Foundations of supermanifold theory: the axiomatic approach

V. Pestov, U. Bruzzo, C. Bartocci, 1993 .

Abelian Topological Groups without Irreducible Banach Representations

V. Pestov, 1997, abelian groups, module theory, and topology.

The Ramsey–Dvoretzky–Milman phenomenon

V. Pestov, 2006 .

Oscillation stability of the Urysohn metric space

V. Pestov, 2004, math/0407444.

On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations

V. Pestov, 2002, math/0212380.

ON SOME QUESTIONS OF EYMARD AND BEKKA ABOUT AMENABILITY OF HOMOGENEOUS SPACES AND INDUCED REPRESENTATIONS

V. Pestov, 2002 .

On a valuation field invented by A. Robinson and certain structures connected with it

V. Pestov, 1991 .

Amenable groups and measure concentration on spheres

V. Pestov, 1998, math/9810168.

Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space

V. Pestov, 1999, math/9903085.

Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups

Vladimir Pestov, V. Pestov, 2000, math/0004010.

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

Vladimir Pestov, V. Pestov, 2008, Algorithmica.

Indexing Schemes for Similarity Search: an Illustrated Paradigm

Vladimir Pestov, Aleksandar Stojmirovic, V. Pestov, 2002, Fundam. Informaticae.

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

Vladimir Pestov, V. Pestov, 1999, Inf. Process. Lett..

A geometric framework for modelling similarity search

Vladimir Pestov, V. Pestov, 1999, Proceedings. Tenth International Workshop on Database and Expert Systems Applications. DEXA 99.

Soul expansion of G∞ superfunctions

V. Pestov, 1993 .

A contribution to nonstandard superanalysis

V. Pestov, 1992 .

An introduction to hyperlinear and sofic groups

V. Pestov, A. Kwiatkowska, 2009, 0911.4266.

Hyperlinear and Sofic Groups: A Brief Guide

Vladimir Pestov, V. Pestov, 2008, Bulletin of Symbolic Logic.

WHAT IS SUPERTOPOLOGY

V. Pestov, U. Bruzzo, 1998, math/9810056.

Analysis on superspace: an overview

V. Pestov, 1994, Bulletin of the Australian Mathematical Society.

Intrinsic dimensionality

Vladimir Pestov, V. Pestov, 2010, SIGSPACIAL.

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

B. Collins, V. Pestov, Sushma Kumari, 2020, ArXiv.

Additive models in high dimensions

Vladimir Pestov, Markus Hegland, V. Pestov, 1999, ArXiv.

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

Vladimir Pestov, V. Pestov, 2011, Comput. Math. Appl..

Indexability, concentration, and VC theory

Vladimir Pestov, V. Pestov, 2010, J. Discrete Algorithms.

Curse of Dimensionality in Pivot Based Indexes

Vladimir Pestov, Ilya Volnyansky, V. Pestov, 2009, 2009 Second International Workshop on Similarity Search and Applications.

Dynamics of Infinite-dimensional Groups - The Ramsey-Dvoretzky-Milman Phenomenon

Vladimir Pestov, V. Pestov, 2006, University lecture series.

On the notion of compactness in supergeometry

V. Pestov, U. Bruzzo, 2000, Bulletin of the Australian Mathematical Society.

Similarity Search and Applications

Gonzalo Navarro, Vladimir Pestov, V. Pestov, 2012, Lecture Notes in Computer Science.

An axiomatic approach to intrinsic dimension of a dataset

Vladimir Pestov, V. Pestov, 2007, Neural Networks.

A learning problem whose consistency is equivalent to the non-existence of real-valued measurable cardinals pdf

Vladimir G. Pestov, V. Pestov, 2020, ArXiv.

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

V. Pestov, 2020, Colloquium Mathematicum.

A note on the article "Unitarizability, Maurey-Nikishin factorization, and Polish groups of finite type" by H. Ando, Y. Matsuzawa, A. Thom, and A. T\"ornquist

V. Pestov, 2020, 2005.02522.

Concentration of measure and whirly actions of Polish groups

V. Pestov, 2009, 0903.0191.

The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval

V. Pestov, S. Morris, A. Leiderman, 1992, funct-an/9212001.

Topological groups: where to from here?

Vladimir Pestov, V. Pestov, 1999, math/9910144.

On topological groups admitting a base at identity indexed with $\omega^\omega$

A. H. Tomita, V. Pestov, A. Leiderman, 2015, 1511.07062.

Free Abelian topological groups and the Pontryagin-Van Kampen duality

V. Pestov, 1995, Bulletin of the Australian Mathematical Society.

A remark on embedding topological groups into products

V. Pestov, 1994, Bulletin of the Australian Mathematical Society.

Enlargeable Banach-Lie algebras and free topological groups

V. Pestov, 1993, Bulletin of the Australian Mathematical Society.

On topological groups with an approximate fixed point property.

V. Pestov, B. Mbombo, C. Barroso, 2014, Anais da Academia Brasileira de Ciencias.

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

V. Pestov, 2015, Transactions of the American Mathematical Society.

Intrinsic dimension of a dataset: what properties does one expect?

Vladimir Pestov, V. Pestov, 2007, 2007 International Joint Conference on Neural Networks.

PFMFind: A System for Discovery of Peptide Homology and Function

Vladimir Pestov, Peter Andreae, Aleksandar Stojmirovic, 2006, SISAP.

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

Vladimir Pestov, V. Pestov, 2011, Theor. Comput. Sci..

PAC learnability versus VC dimension: A footnote to a basic result of statistical learning

Vladimir Pestov, V. Pestov, 2011, The 2011 International Joint Conference on Neural Networks.

On epimorphisms in some categories of infinite-dimensional Lie groups

Vladimir G. Pestov, Vladimir V. Uspenskij, V. Pestov, 2021, 2102.07276.

ON LIE GROUPS IN VARIETIES OF TOPOLOGICAL GROUPS

V. Pestov, Colloqu Ium, Mathemat Icum, 2010 .

An analytic structure emerging in presence of infinitely many odd coordinates

V. Pestov, 1992, funct-an/9211008.

Nonstandard hulls of Banach-Lie groups and algebras

V. Pestov, 1992, funct-an/9205003.

ON FREE ACTIONS, MINIMAL FLOWS, AND A PROBLEM BY ELLIS

V. Pestov, 1998 .

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

V. Pestov, 2020, Comptes Rendus. Mathématique.

A relatively free topological group that is not varietal free

V. Pestov, D. Shakhmatov, 1998 .

Analytic subsets of Hilbert spaces

V. Pestov, 1995, dg-ga/9503011.

Operator Spaces and Residually Finite-Dimensional C*-Algebras

V. Pestov, 1994 .

On enlargability of infinite-dimensional lie superalgebras

V. Pestov, 1993 .

Ground Algebras for superanalysis

V. Pestov, 1991 .

Even sectors of Lie superalgebras as locally convex Lie algebras

V. Pestov, 1991 .

Free topological groups over metrizable spaces

V. Pestov, O. Okunev, A. Arhangel'skii, 1989 .

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

V. Pestov, L. N. V. Th'e, 2008, 0804.1583.

Douady's conjecture on Banach analytic spaces

V. Pestov, 1994, funct-an/9406004.

A NOTE ON THE PRECOMPACTNESS OF WEAKLY ALMOST PERIODIC GROUPS

V. Pestov, M. Megrelishvili, V. Uspenskij, 2000, math/0011152.

Independence of almost periodicity upon the topology of the acting group

V. Pestov, 1998 .