Surveys in Combinatorics, 1989

Surveys in Combinatorics, 1989
Author: J. Siemons
Publisher: Cambridge University Press
Total Pages: 232
Release: 1989-08-03
Genre: Mathematics
ISBN: 9780521378239

Many areas of current research activity in combinatorics and its applications, including graph theory, designs and probabilistic graphs, are surveyed in lectures presented at the 12th British Combinatorial Conference.

Aspects of Sobolev-Type Inequalities

Aspects of Sobolev-Type Inequalities
Author: L. Saloff-Coste
Publisher: Cambridge University Press
Total Pages: 204
Release: 2002
Genre: Mathematics
ISBN: 9780521006071

Focusing on Poincaré, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds, this text is an advanced graduate book that will also suit researchers.

Combinatorial Methods in Density Estimation

Combinatorial Methods in Density Estimation
Author: Luc Devroye
Publisher: Springer Science & Business Media
Total Pages: 219
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461301254

Density estimation has evolved enormously since the days of bar plots and histograms, but researchers and users are still struggling with the problem of the selection of the bin widths. This book is the first to explore a new paradigm for the data-based or automatic selection of the free parameters of density estimates in general so that the expected error is within a given constant multiple of the best possible error. The paradigm can be used in nearly all density estimates and for most model selection problems, both parametric and nonparametric.

Descriptive Set Theory and Dynamical Systems

Descriptive Set Theory and Dynamical Systems
Author: M. Foreman
Publisher: Cambridge University Press
Total Pages: 304
Release: 2000-05-25
Genre: Mathematics
ISBN: 9780521786447

In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This volume, first published in 2000, contains a collection of survey papers by leading researchers covering a wide variety of recent developments in these subjects and their interconnections. This book provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.

Singular Perturbations of Differential Operators

Singular Perturbations of Differential Operators
Author: Sergio Albeverio
Publisher: Cambridge University Press
Total Pages: 454
Release: 2000-03-13
Genre: Mathematics
ISBN: 9780521779128

This is a systematic mathematical study of differential (and more general self-adjoint) operators.

Character Theory for the Odd Order Theorem

Character Theory for the Odd Order Theorem
Author: Thomas Peterfalvi
Publisher: Cambridge University Press
Total Pages: 166
Release: 2000-02-28
Genre: Mathematics
ISBN: 9780521646604

The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book provides the character-theoretic second part and thus completes the proof. All researchers in group theory should have a copy of this book in their library.

Topics in Symbolic Dynamics and Applications

Topics in Symbolic Dynamics and Applications
Author: F. Blanchard
Publisher: Cambridge University Press
Total Pages: 268
Release: 2000-06-29
Genre: Mathematics
ISBN: 9780521796606

This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following two introduce 'high complexity' systems. The later chapters go on to deal with more specialised topics including ergodic theory, number theory, and one-dimensional dynamics.

Microlocal Analysis for Differential Operators

Microlocal Analysis for Differential Operators
Author: Alain Grigis
Publisher: Cambridge University Press
Total Pages: 164
Release: 1994-03-03
Genre: Mathematics
ISBN: 9780521449861

This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.