Topology and Its Applications

Topology and Its Applications PDF Author: Sergeĭ Petrovich Novikov
Publisher: American Mathematical Soc.
ISBN: 9780821831519
Category : Mathematics
Languages : en
Pages : 266

Get Book Here

Book Description
The Proceedings of an international topology conference - this book covrs various aspects of general algebraic, and low-dimensional topology.

Topology and Its Applications

Topology and Its Applications PDF Author: Sergeĭ Petrovich Novikov
Publisher: American Mathematical Soc.
ISBN: 9780821831519
Category : Mathematics
Languages : en
Pages : 266

Get Book Here

Book Description
The Proceedings of an international topology conference - this book covrs various aspects of general algebraic, and low-dimensional topology.

New Integrals

New Integrals PDF Author: Peter S. Bullen
Publisher: Springer
ISBN: 3540469559
Category : Mathematics
Languages : en
Pages : 211

Get Book Here

Book Description


Mathematical Research Today and Tomorrow

Mathematical Research Today and Tomorrow PDF Author: Carlos Casacuberta
Publisher: Springer Science & Business Media
ISBN: 9783540560111
Category : Mathematics
Languages : en
Pages : 132

Get Book Here

Book Description
The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. The contents of all lectures were collected in the volume, together witha transcription of a round table discussion held during the Symposium. All papers are expository. Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public. CONTENTS: R. Thom: Leaving Mathematics for Philosophy.- S. Novikov: Role of Integrable Models in the Development of Mathematics.- S.-T. Yau: The Current State and Prospects of Geometry and Nonlinear Differential Equations.- A. Connes: Noncommutative Geometry.- S. Smale: Theory of Computation.- V. Jones: Knots in Mathematics and Physics.- G. Faltings: Recent Progress in Diophantine Geometry.

Progress in Variational Methods

Progress in Variational Methods PDF Author: Chungen Liu
Publisher: World Scientific
ISBN: 9814327840
Category : Mathematics
Languages : en
Pages : 249

Get Book Here

Book Description
In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on lectures in the following areas of nonlinear analysis: critical point theory, Hamiltonian dynamics, partial differential equations and systems, KAM theory, bifurcation theory, symplectic geometry, geometrical analysis, and celestial mechanics. Combinations of topological, analytical (especially variational), geometrical, and algebraic methods in these researches play important roles. In this proceedings, introductory materials on new theories and surveys on traditional topics are also given. Further perspectives and open problems on hopeful research topics in related areas are described and proposed. Researchers, graduate and postgraduate students from a wide range of areas in mathematics and physics will find contents in this proceedings are helpful.

Lectures on Probability Theory

Lectures on Probability Theory PDF Author: Dominique Bakry
Publisher: Springer
ISBN: 3540485686
Category : Mathematics
Languages : en
Pages : 429

Get Book Here

Book Description
This book contains work-outs of the notes of three 15-hour courses of lectures which constitute surveys on the concerned topics given at the St. Flour Probability Summer School in July 1992. The first course, by D. Bakry, is concerned with hypercontractivity properties and their use in semi-group theory, namely Sobolev and Log Sobolev inequa- lities, with estimations on the density of the semi-groups. The second one, by R.D. Gill, is about statistics on survi- val analysis; it includes product-integral theory, Kaplan- Meier estimators, and a look at cryptography and generation of randomness. The third one, by S.A. Molchanov, covers three aspects of random media: homogenization theory, loca- lization properties and intermittency. Each of these chap- ters provides an introduction to and survey of its subject.

D-modules, Representation Theory, and Quantum Groups

D-modules, Representation Theory, and Quantum Groups PDF Author: Louis Boutet de Monvel
Publisher: Springer
ISBN: 3540481958
Category : Mathematics
Languages : en
Pages : 226

Get Book Here

Book Description
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern character and index of G-invariant operators.

Prospects in Complex Geometry

Prospects in Complex Geometry PDF Author: Junjiro Noguchi
Publisher: Springer
ISBN: 354047370X
Category : Mathematics
Languages : en
Pages : 431

Get Book Here

Book Description
In the Teichmüller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years. Thus the central subject of "Complex Structure" was a timely choice for the joint meetings in Katata and Kyoto in 1989. The invited participants exchanged ideas on different approaches to related topics in complex geometry and mapped out the prospects for the next few years of research.

Seminaire de Probabilites XXIX

Seminaire de Probabilites XXIX PDF Author: Jacques Azema
Publisher: Springer
ISBN: 354044744X
Category : Mathematics
Languages : en
Pages : 337

Get Book Here

Book Description
All the papers included in this volume are original research papers. They represent an important part of the work of French probabilists and colleagues with whom they are in close contact throughout the world. The main topics of the papers are martingale and Markov processes studies.

Complex Analysis III

Complex Analysis III PDF Author: Carlos A. Berenstein
Publisher: Springer
ISBN: 3540478930
Category : Mathematics
Languages : en
Pages : 369

Get Book Here

Book Description


Dirichlet Forms

Dirichlet Forms PDF Author: E. Fabes
Publisher: Springer
ISBN: 3540481516
Category : Mathematics
Languages : en
Pages : 254

Get Book Here

Book Description
The theory of Dirichlet forms has witnessed recently some very important developments both in theoretical foundations and in applications (stochasticprocesses, quantum field theory, composite materials,...). It was therefore felt timely to have on this subject a CIME school, in which leading experts in the field would present both the basic foundations of the theory and some of the recent applications. The six courses covered the basic theory and applications to: - Stochastic processes and potential theory (M. Fukushima and M. Roeckner) - Regularity problems for solutions to elliptic equations in general domains (E. Fabes and C. Kenig) - Hypercontractivity of semigroups, logarithmic Sobolev inequalities and relation to statistical mechanics (L. Gross and D. Stroock). The School had a constant and active participation of young researchers, both from Italy and abroad.