Koli︠a︡da, S. F.
Overview
Works:  17 works in 58 publications in 2 languages and 1,570 library holdings 

Genres:  Conference proceedings 
Roles:  Editor, Author 
Classifications:  QA611.5, 515.48 
Publication Timeline
.
Most widely held works by
S. F Koli︠a︡da
Topics in dynamics and ergodic theory by
Sergey Bezuglyi(
Book
)
12 editions published in 2003 in English and held by 235 WorldCat member libraries worldwide
This book contains a collection of survey papers by leading researchers in ergodic theory, lowdimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2dimensional theory called pruning; the dynamics of Markov odometers, BratteliVershik diagrams and orbit equivalence of nonsingular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups
12 editions published in 2003 in English and held by 235 WorldCat member libraries worldwide
This book contains a collection of survey papers by leading researchers in ergodic theory, lowdimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2dimensional theory called pruning; the dynamics of Markov odometers, BratteliVershik diagrams and orbit equivalence of nonsingular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups
Algebraic and topological dynamics : Algebraic and topological dynamics, May 1July 31, 2004, MaxPlanckInstitut für Mathematik,
Bonn, Germany by Conference on Algebraic and Topological Dynamics(
Book
)
7 editions published in 2005 in English and held by 191 WorldCat member libraries worldwide
7 editions published in 2005 in English and held by 191 WorldCat member libraries worldwide
Dynamical numbers : interplay between dynamical systems and number theory : a special program, May 1July 31, 2009 ; international
conference, July 2024, 2009, Max Planck Institute for Mathematics, Bonn, Germany(
Book
)
8 editions published in 2010 in English and held by 158 WorldCat member libraries worldwide
8 editions published in 2010 in English and held by 158 WorldCat member libraries worldwide
Geometry and dynamics of groups and spaces : in memory of Alexander Reznikov by
M. M Kapranov(
Book
)
8 editions published in 2008 in English and held by 25 WorldCat member libraries worldwide
This book presents 18 articles by prominent mathematicians, dedicated to the memory of Alexander Reznikov (19602003), a brilliant highly original mathematician with broad mathematical interests. In addition it contains an influential, so far unpublished manuscript of Reznikov of book length. The research articles broadly reflect the range of Reznikov's own interests in geometry, group and number theory, functional analysis, dynamical systems and topology. In addition, there are surveys "Geometrization of probability", "Kleinian groups in higher dimensions", "(C,F)construction of funny rankone actions for locally compact groups", and some articles centering on Reznikov as a person
8 editions published in 2008 in English and held by 25 WorldCat member libraries worldwide
This book presents 18 articles by prominent mathematicians, dedicated to the memory of Alexander Reznikov (19602003), a brilliant highly original mathematician with broad mathematical interests. In addition it contains an influential, so far unpublished manuscript of Reznikov of book length. The research articles broadly reflect the range of Reznikov's own interests in geometry, group and number theory, functional analysis, dynamical systems and topology. In addition, there are surveys "Geometrization of probability", "Kleinian groups in higher dimensions", "(C,F)construction of funny rankone actions for locally compact groups", and some articles centering on Reznikov as a person
Topics in dynamical systems and ergodic theory(
Book
)
2 editions published in 2003 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 8 WorldCat member libraries worldwide
Dinamicheskie sistemy i nelineĭnye i︠a︡vlenii︠a︡ : sbornik nauchnykh trudov(
Book
)
2 editions published in 1990 in Russian and held by 6 WorldCat member libraries worldwide
2 editions published in 1990 in Russian and held by 6 WorldCat member libraries worldwide
Algebraic and topological dynamics by Algebraic and topological dynamics(
Book
)
4 editions published in 2005 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 2005 in English and held by 5 WorldCat member libraries worldwide
On spatiotemporal chaos by
S. F Koli︠a︡da(
Book
)
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
On [omega]limit sets of triangular maps by
Sergej Fedorovič Koljada(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
Algebraic and topological dynamics : May 1July 31, 2004, MaxPlanckInstitut fÜr Mathematik, Bonn, Germany(
Book
)
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval by
S. F Koli︠a︡da(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
Functional envelope of a dynamical system(
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
Functional envelope of a dynamical system by Joseph Auslander(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
A dichotomy for minimal sets of fibrepreserving maps in graph bundles by
Sergiǐ Koljada(
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Minimal sets are studied for a compact dynamical system given by a fibrepreserving continuous map F in a graph bundle E (i.e., F is a skew product map). Given a closed set M in E we den̄e the set of socalled starlike interior points of M. A point in M is called an endpoint of M if it is not starlike interior. It is assumed that the base system is minimal (this assumption does not restrict generality when we are interested in the topological structure of minimal sets). The main theorem says that if M is a minimal set of F then the following dichotomy holds: The set of endpoints of M is either dense in M (and then M is nowhere dense in E), or it is empty (and then M has nonempty interior in E). Further, it is proved that in the latter case FjM is monotone on some subarcs of the b̄res. Since minimal sets of b̄represerving maps in tree bundles necessarily have endpoints, this theorem implies that these sets are nowhere dense, which in particular solves a problem of J. Smœđtal on minimal sets of triangular maps in the square
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Minimal sets are studied for a compact dynamical system given by a fibrepreserving continuous map F in a graph bundle E (i.e., F is a skew product map). Given a closed set M in E we den̄e the set of socalled starlike interior points of M. A point in M is called an endpoint of M if it is not starlike interior. It is assumed that the base system is minimal (this assumption does not restrict generality when we are interested in the topological structure of minimal sets). The main theorem says that if M is a minimal set of F then the following dichotomy holds: The set of endpoints of M is either dense in M (and then M is nowhere dense in E), or it is empty (and then M has nonempty interior in E). Further, it is proved that in the latter case FjM is monotone on some subarcs of the b̄res. Since minimal sets of b̄represerving maps in tree bundles necessarily have endpoints, this theorem implies that these sets are nowhere dense, which in particular solves a problem of J. Smœđtal on minimal sets of triangular maps in the square
Dynamics of onedimensional maps by
A. N Sharkovskiĭ(
Book
)
3 editions published in 1997 in English and held by 1 WorldCat member library worldwide
The theory of onedimensional systems is one of the most efficient tools of nonlinear dynamics, as, on the one hand, it describes onedimensional systems fairly completely, and on the other hand exhibits all basic complicated nonlinear effects. This volume has two main goals. Firstly, it acquaints the reader with the fundamentals of the theory of onedimensional dynamical systems. Very simple nonlinear maps with a single point of extremum, also called unimodal maps, are studied. Unimodality is found to impose hardly any restrictions on the dynamical behaviour. Secondly, it equips the reader with a comprehensive view of the problems appearing in the theory of dynamical systems and describes the methods used for their solution in the case of onedimensional maps. Audience: This book will be of interest to researchers and postgraduate students whose work involves nonlinear dynamics
3 editions published in 1997 in English and held by 1 WorldCat member library worldwide
The theory of onedimensional systems is one of the most efficient tools of nonlinear dynamics, as, on the one hand, it describes onedimensional systems fairly completely, and on the other hand exhibits all basic complicated nonlinear effects. This volume has two main goals. Firstly, it acquaints the reader with the fundamentals of the theory of onedimensional dynamical systems. Very simple nonlinear maps with a single point of extremum, also called unimodal maps, are studied. Unimodality is found to impose hardly any restrictions on the dynamical behaviour. Secondly, it equips the reader with a comprehensive view of the problems appearing in the theory of dynamical systems and describes the methods used for their solution in the case of onedimensional maps. Audience: This book will be of interest to researchers and postgraduate students whose work involves nonlinear dynamics
On dynamics of triangular maps of the square by
S. F Koli︠a︡da(
Book
)
2 editions published in 1991 in English and held by 1 WorldCat member library worldwide
2 editions published in 1991 in English and held by 1 WorldCat member library worldwide
Dynamical numbers interplay between dynamical systems and number thoery : a special program May 1July 31, 2009 : international
conference, July 2024, 2009, Max Planck Institute for Mathematics, Bonn, Germany(
)
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Bezuglyi, Sergey 1954 Author Editor
 Manin, I︠U︡. I. Editor
 Ward, Thomas 1963 Editor
 MaxPlanckInstitut für Mathematik
 Kapranov, Mikhail Author
 Potyagailo, Leonid
 Moree, Pieter
 Reznikov, Alexander Honoree
 Sharkovskiĭ, A. N. (Aleksandr Nikolaevich) Author
 Instytut matematyky (Akademii︠a︡ nauk Ukraïnsʹkoï RSR)
Associated Subjects
Algebraic topology Differentiable dynamical systems Differential equations Dynamics Ergodic theory Functional analysis Geometry Geometry, Differential Global differential geometry Group theory Instytut matematyky (Akademii︠a︡ nauk Ukraïnsʹkoï RSR) Lowdimensional topology Mappings (Mathematics) Mathematics Nonlinear systems Number theory Point mappings (Mathematics) Topological algebras Topological dynamics Topological groups Topology Ukraine