Walczak, Paweł Grzegorz
Overview
Works:  37 works in 124 publications in 3 languages and 3,777 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author 
Classifications:  QA300, 515 
Publication Timeline
.
Most widely held works by
Paweł Grzegorz Walczak
Dynamics of foliations, groups, and pseudogroups by
Paweł Grzegorz Walczak(
Book
)
9 editions published in 2004 in English and held by 158 WorldCat member libraries worldwide
Foliations, groups and pseudogroups are objects which are closely related via the notion of holonomy. In the 1980s they became considered as general dynamical systems. This book deals with their dynamics. Since "dynamics is a very extensive term, we focus on some of its aspects only. Roughly speaking, we concentrate on notions and results related to different ways of measuring complexity of the systems under consideration. More precisely, we deal with different types of growth, entropies and dimensions of limiting objects. Invented in the 1980s (by E. Ghys, R. Langevin and the author) geometric entropy of a foliation is the principal object of interest among all of them. Throughout the book, the reader will find a good number of inspirating problems related to the topics covered
9 editions published in 2004 in English and held by 158 WorldCat member libraries worldwide
Foliations, groups and pseudogroups are objects which are closely related via the notion of holonomy. In the 1980s they became considered as general dynamical systems. This book deals with their dynamics. Since "dynamics is a very extensive term, we focus on some of its aspects only. Roughly speaking, we concentrate on notions and results related to different ways of measuring complexity of the systems under consideration. More precisely, we deal with different types of growth, entropies and dimensions of limiting objects. Invented in the 1980s (by E. Ghys, R. Langevin and the author) geometric entropy of a foliation is the principal object of interest among all of them. Throughout the book, the reader will find a good number of inspirating problems related to the topics covered
Differential geometry(
Book
)
10 editions published in 1984 in English and Polish and held by 94 WorldCat member libraries worldwide
10 editions published in 1984 in English and Polish and held by 94 WorldCat member libraries worldwide
Proceedings of the Euroworkshop on Foliations Geometry and Dynamics, 29 May9 June 2000, Warsaw, Poland by Euroworkshop on Foliations Geometry and Dynamics(
Book
)
14 editions published in 2002 in English and held by 87 WorldCat member libraries worldwide
This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of lowdimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W. Thurston and Y. Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets
14 editions published in 2002 in English and held by 87 WorldCat member libraries worldwide
This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of lowdimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W. Thurston and Y. Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets
Topics in extrinsic geometry of codimensionone foliations by
Vladimir Y Rovenskii(
Book
)
15 editions published in 2011 in English and held by 76 WorldCat member libraries worldwide
Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of Topics in Extrinsic Geometry of CodimensionOne Foliations achieve a technical tour de force, which will lead to important geometric results. The Integral Formulae, introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves enjoy given geometric properties. Th
15 editions published in 2011 in English and held by 76 WorldCat member libraries worldwide
Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of Topics in Extrinsic Geometry of CodimensionOne Foliations achieve a technical tour de force, which will lead to important geometric results. The Integral Formulae, introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves enjoy given geometric properties. Th
Foliations 2005 : proceedings of the international conference, Łódź, Poland, 1324 June 2005 by
Steve Hurder(
Book
)
14 editions published between 2005 and 2006 in English and held by 58 WorldCat member libraries worldwide
4 Some properties of subgroups of K*nr(C)5 Parametrization; 6 Dense orbit for subgroups of K*nr(C); 7 Proofs of main theorems; 8 Finitely generated subgroups; References; Hirsch foliations in codimension greater than one; 1 Introduction; 2 Hirsch foliations in codimension one; 3 Systems of etale correspondences; 4 Generalized Hirsch foliations; 5 Realizing systems of etale correspondences; 6 Examples; 7 Some Questions; References; Extrinsic geometry of foliations on 3manifolds; 1 Introduction; 2 Classes of foliations; 3 Basic problems; 4 Topological obstructions; 5 Duality; 6 Trick
14 editions published between 2005 and 2006 in English and held by 58 WorldCat member libraries worldwide
4 Some properties of subgroups of K*nr(C)5 Parametrization; 6 Dense orbit for subgroups of K*nr(C); 7 Proofs of main theorems; 8 Finitely generated subgroups; References; Hirsch foliations in codimension greater than one; 1 Introduction; 2 Hirsch foliations in codimension one; 3 Systems of etale correspondences; 4 Generalized Hirsch foliations; 5 Realizing systems of etale correspondences; 6 Examples; 7 Some Questions; References; Extrinsic geometry of foliations on 3manifolds; 1 Introduction; 2 Classes of foliations; 3 Basic problems; 4 Topological obstructions; 5 Duality; 6 Trick
On foliations with leaves satisfying some geometrical conditions by
Paweł Grzegorz Walczak(
Book
)
9 editions published between 1980 and 1983 in English and held by 49 WorldCat member libraries worldwide
9 editions published between 1980 and 1983 in English and held by 49 WorldCat member libraries worldwide
Foliations, geometry, and topology : Paul Schweitzer festschrift : conference in honor of the 70th birthday of Paul Schweitzer,
S.J., August 610, 2007, PUCRio, Rio de Janeiro, Brazil(
Book
)
2 editions published in 2009 in English and held by 6 WorldCat member libraries worldwide
"This volume represents the proceedings of the conference on Foliations, Geometry, and Topology, held August 610, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers concentrate on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces. There are survey papers on classification of foliations and their dynamical properties, including codimension one foliations with BottMorse singularities. Other papers involve the relationship of foliations with characteristic classes, contact structures, and EliashbergMishachev wrinkled mappings."Publisher's website
2 editions published in 2009 in English and held by 6 WorldCat member libraries worldwide
"This volume represents the proceedings of the conference on Foliations, Geometry, and Topology, held August 610, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers concentrate on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces. There are survey papers on classification of foliations and their dynamical properties, including codimension one foliations with BottMorse singularities. Other papers involve the relationship of foliations with characteristic classes, contact structures, and EliashbergMishachev wrinkled mappings."Publisher's website
Geometry and its applications by
Vladimir Y Rovenskii(
Book
)
6 editions published in 2014 in English and held by 5 WorldCat member libraries worldwide
This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for nondynamical systems. This Work is based on the second international workshop entitled "Geometry and Symbolic Computations," held on May 1518, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and its applications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern stateoftheart in geometric modeling using symbolic programs such as MapleTM and Mathematica®, as well as presentation of new results
6 editions published in 2014 in English and held by 5 WorldCat member libraries worldwide
This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for nondynamical systems. This Work is based on the second international workshop entitled "Geometry and Symbolic Computations," held on May 1518, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and its applications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern stateoftheart in geometric modeling using symbolic programs such as MapleTM and Mathematica®, as well as presentation of new results
Real and complex analysis by
Walter Rudin(
Book
)
4 editions published between 1986 and 2009 in Polish and held by 5 WorldCat member libraries worldwide
Presents the basic techniques and theorems of analysis. This work includes a chapter on differentiation. It presents proofs of theorems and many exercises appear at the end of each chapter. It is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject
4 editions published between 1986 and 2009 in Polish and held by 5 WorldCat member libraries worldwide
Presents the basic techniques and theorems of analysis. This work includes a chapter on differentiation. It presents proofs of theorems and many exercises appear at the end of each chapter. It is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject
On totally geodesic foliations of negatively curved manifolds of finite volume by
A Verjovsky(
Book
)
3 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
Geometria różniczkowa w zadaniach by
Paweł Grzegorz Walczak(
Book
)
3 editions published in 1981 in Polish and Undetermined and held by 3 WorldCat member libraries worldwide
3 editions published in 1981 in Polish and Undetermined and held by 3 WorldCat member libraries worldwide
Mean curvature functions for codimensionone foliations with all leaves compact by
Paweł Grzegorz Walczak(
Book
)
2 editions published in 1982 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1982 in English and held by 2 WorldCat member libraries worldwide
Local stability of holomorphic and transversely holomorphic foliations by
Paweł Grzegorz Walczak(
Book
)
3 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
Publications de l'Uer mathematiques pures et appliquees by
Yvette KosmannSchwarzbach(
Book
)
1 edition published in 1986 in French and held by 2 WorldCat member libraries worldwide
1 edition published in 1986 in French and held by 2 WorldCat member libraries worldwide
An example of a codimensiontwo foliation of nonvanishing mean curvature by
Paweł Grzegorz Walczak(
Book
)
3 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
On minimal Riemannian foliations by
Paweł Grzegorz Walczak(
Book
)
3 editions published in 1981 in English and Polish and held by 2 WorldCat member libraries worldwide
3 editions published in 1981 in English and Polish and held by 2 WorldCat member libraries worldwide
Foliations 2012 : proceedings of the International Conference, Łódź, Poland, 2530 June 2012 by Foliations (Conference)(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference "Foliations 2012". It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference "Foliations 2012". It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research
Nowy wzór całkowy dla dwóch dystrybucji na rozmaitości Riemanna i jego zastosowanie by
Magdalena Lużyńczyk(
)
1 edition published in 2014 in Polish and held by 1 WorldCat member library worldwide
1 edition published in 2014 in Polish and held by 1 WorldCat member library worldwide
Integral formulae on foliated symmetric spaces by
Vladimir Y Rovenskii(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Geometry and its Applications(
)
3 editions published in 2014 in English and held by 0 WorldCat member libraries worldwide
This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for nondynamical systems. This Work is based on the second international workshop entitled "Geometry and Symbolic Computations," held on May 1518, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and its applications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern stateoftheart in geometric modeling using symbolic programs such as Maple(Tm) and Mathematica®, as well as presentation of new results
3 editions published in 2014 in English and held by 0 WorldCat member libraries worldwide
This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for nondynamical systems. This Work is based on the second international workshop entitled "Geometry and Symbolic Computations," held on May 1518, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and its applications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern stateoftheart in geometric modeling using symbolic programs such as Maple(Tm) and Mathematica®, as well as presentation of new results
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Related Identities
 Rovenskii, Vladimir Y. 1953 Author Editor
 Waliszewski, W. Editor
 Andrzejcak, Grzegorz Editor
 Stefan Banach International Mathematical Center
 Conlon, Lawrence 1933 Editor
 Langevin, Remi Editor
 Pierzchalski, Antoni Author
 Saldanha, Nicolau C. Editor
 Tsuboi, Takashi Editor
 Rudin, Walter (1921 ). Author
Associated Subjects
Calculus Computer scienceMathematics Differentiable dynamical systems Differential equations, Partial Differential topology Foliations (Mathematics) Geometry Geometry, Differential Global differential geometry Group theory Mathematical analysis Mathematical models Mathematics Riemannian manifolds Submanifolds Threemanifolds (Topology) Topological dynamics Topological groups