Koli︠a︡da, S. F.
Overview
Works:  20 works in 63 publications in 2 languages and 1,723 library holdings 

Genres:  Conference papers and 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 Undetermined and held by 241 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
12 editions published in 2003 in English and Undetermined and held by 241 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
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 196 WorldCat member libraries worldwide
7 editions published in 2005 in English and held by 196 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 163 WorldCat member libraries worldwide
8 editions published in 2010 in English and held by 163 WorldCat member libraries worldwide
Geometry and dynamics of groups and spaces : in memory of Alexander Reznikov by
M. M Kapranov(
Book
)
10 editions published in 2008 in English and held by 24 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 In addition it contains an influential, so far unpublished manuscript of Reznikov of book length.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
10 editions published in 2008 in English and held by 24 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
Algebraic and topological dynamics by Algebraic and topological dynamics(
Book
)
5 editions published in 2005 in English and held by 7 WorldCat member libraries worldwide
5 editions published in 2005 in English and held by 7 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
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
Functional envelope of a dynamical system by Joseph Auslander(
Book
)
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 2 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
Dynamics and numbers : a special program, June 1July 31, 2014, Max Planck Institute for Mathematics, Bonn, Germany : international
conference, July 2125, 2014, Max Planck Institute for Mathematics, Bonn, Germany(
Book
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
On topological entropy when positivity implies + infinity by
S. F Koli︠a︡da(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
In this paper we study the relations between the properties of the topological semigroup of all continuous selfmaps S(X) on a compact metric space X (the topological group H(X) of all homeomorphisms on X) and possible values of the topological entropy of its elements. In particular, we prove that topological entropy of a functional envelope on the space of all continuous selfmaps on Peano continua or on compact metric spaces with continuum many connected components has only two possible values 0 and +1
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
In this paper we study the relations between the properties of the topological semigroup of all continuous selfmaps S(X) on a compact metric space X (the topological group H(X) of all homeomorphisms on X) and possible values of the topological entropy of its elements. In particular, we prove that topological entropy of a functional envelope on the space of all continuous selfmaps on Peano continua or on compact metric spaces with continuum many connected components has only two possible values 0 and +1
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
Minimal nonhomogeneous continua by
Henk Bruin(
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
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
Shpargalka dli︠a︡ roditeleĭ by
S. F Koli︠a︡da(
Book
)
1 edition published in 1998 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1998 in Russian 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
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
Dynamics of onedimensional maps by
A. N Sharkovskiĭ(
)
2 editions published in 1997 in English and held by 0 WorldCat member libraries 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
2 editions published in 1997 in English and held by 0 WorldCat member libraries 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
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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Audience Level
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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
 Moree, Pieter
 Potyagailo, Leonid
 Sharkovskiĭ, A. N. (Aleksandr Nikolaevich) Author
 Reznikov, Alexander 19602003
 Reznikov, Alexander Honoree
Associated Subjects
Aggressiveness in children Algebraic topology Autism in children Child psychotherapy Differentiable dynamical systems Differential equations Dynamics Ergodic theory Functional analysis Geometry Geometry, Differential Global differential geometry Group theory Hyperactive children 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