David Jerison (MIT); Barry Mazur (Harvard); Tomasz Mrowka (MIT); Wilfried Schmid (Harvard University); Richard P. Stanley (MIT); Shing-Tung Yau (Harvard University)

Current Developments in Mathematics, 2007

ISBN: 978-1-57146-134-6
Published: April 2009
Pages: 245
Binding: Softcover

The Current Developments in Mathematics (CDM) conference is an annual seminar, jointly hosted by Harvard University and the Massachusetts Institute of Technology, and devoted to surveying the most recent developments in mathematics. In choosing speakers, the hosts take a broad look at the field of geometry, and select geometers who transcend classical perceptions within their field. All speakers are prominent specialists in the fields of algebraic geometry, mathematical physics, and other areas. International Press is pleased to bring the full contents of these proceedings to you in their Current Developments in Mathematics book series.

Contents of this volume:

Three Topics in Additive Prime Number Theory / Ben Green
Finite Generation of a Canonical Ring / Yujiro Kawamata
Recent Progress in GW-Invariants of Calabi-Yau Threefolds / Jun Li
Lectures on Stability and Constant Scalar Curvature / D.H. Phong and Jacob Sturm
Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring / Yum-Tong Siu
Notes on the Seiberg-Witten Equations, the Weinstein Conjecture and Embedded Contact Homology
/ Clifford Henry Taubes



S. Akbulut, T. Onder, and R.J. Stern (editors)

Proceedings of Gokova Geometry-Topology Conference 2008

ISBN: 978-1-57146-136-0
To Be Published: May 2009
Pages: 180 pages
Binding: Softcover

Description:

Proceedings of the 15th Gokova Geometry-Topology Conference, held on the shores of Gokova Bay, Turkey, in May of 2008.

Contents:

An Introduction to Reduced Volume / P. Lu
Resolution of singularities of analytic spaces / J. Wolodarczyk
Floor decompositions of tropical curves: the planar case / E. Brugalle and G. Mikhalkin
Slicing planar grid diagrams: A gentle introduction to bordered Heegaard Floer homology
/ R. Lipshitz, P. Ozsath and D. Thurston
Grid Diagrams, Braids, and Contact Geometry / L. Ng and D. Thurston
Intersection Forms, Fundamental Groups and 4-manifolds / I. Hambleton
Exotic embeddings of #6RP2 in the 4-sphere / S. Finashin


Leonard F. Richardson

Measure and Integration: A Concise Introduction to Real Analysis

ISBN: 978-0-470-25954-2
Hardcover
256 pages
June 2009

Addressing the need to successfully teach measure and integration within the confines of a one-semester course on real analysis, Measure and Integration provides a snapshot of the subject by focusing on key concepts and fundamental topics. Striking a comfortable balance between both fundamental and specialized topics that does not focus too much on the possible embellishments or ramifications of various topics, this unique text is a must-have book for students and an ideal reference for professors and professionals alike.

Table of contents

Jean-Pierre Kahane

Selected Works of Jean-Pierre Kahane

Kendrick Press, 2009. xiv + 688 pages. ISBN 0-9793183-9-4.

This tribute to the great analyst Jean-Pierre Kahane comes a little late for his eightieth birthday in December 2006. It will be welcomed by his many admirers. The editor asked Professor Kahane to select his favorite research papers to give a total of about 650 pages. The outcome consists of the 63 papers, in English and French, in the present volume. Papers already available in Salem's Collected Works were not included.

Mean periodic functions, pseudo-periodic functions, almost-periodic functions and quasi-analyticity are themes in the earlier papers. Another important topic is the converse to the
Wiener-Levy theorem. Of course there are papers on the convergence of Fourier series, along with problems of uniqueness and spectral synthesis. Symbolic calculus in Banach algebras, lacunary series, thin sets and trigonometric polynomials with unimodular coefficients are treated. There is a contribution on Hilbert's 13th problem.

Naturally, there are papers on random coverings, Brownian motion and multiplicative processes. We find a paper on a question of Bohr on Dirichlet series and one on an inverse Heisenberg inequality. The last paper in the volume concerns Beurling's theory of generalized prime numbers. There are riches here to appeal to any aficionado of mathematical analysis. Readers will enjoy the witty and warm-hearted preface by Yves Meyer.

A full list of the 63 papers in the volume can be found here in the Table of Contents*. Jean-Pierre Kahane continues to publish, and the full list of his scientific works at the end of this volume will be updated at each reprinting.

Table of contents

J. Najnudel / B. Roynette/ M. Yor

A Global View of Brownian Penalisations

2009,137p 税込価格1,820円

MSJ Memoirs, Vol. 19

確率論や数理ファイナンスにおいて,ウィーナー測度に各種の重みをつけた
確率測度の長時間漸近挙動の解析が極めて重要な役割を果す.
著者M. Yor氏はこれらを統一的に扱うことを提唱し,「ブラウン処罰問題」と名付けた.
本書は,この包括的視点への初めての入門書である.