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European Congress of Mathematics
  • Language: en
  • Pages: 906

European Congress of Mathematics

The European Congress of Mathematics, held every four years, has established itself as a major international mathematical event. Following those in Paris, 1992, Budapest, 1996, and Barcelona, 2000, the Fourth European Congress of Mathematics took place in Stockholm, Sweden, June 27 to July 2, 2004, with 913 participants from 65 countries. Apart from seven plenary and thirty three invited lectures, there were six Science Lectures covering the most relevant aspects of mathematics in science and technology. Moreover, twelve projects of the EU Research Training Networks in Mathematics and Information Sciences, as well as Programmes from the European Science Foundation in Physical and Engineering Sciences, were presented. Ten EMS Prizes were awarded to young European mathematicians who have made a particular contribution to the progress of mathematics. Five of the prizewinners were independently chosen by the 4ECM Scientific Committee as plenary or invited speakers. The other five prizewinners gave their lectures in parallel sessions. Most of these contributions are now collected in this volume, providing a permanent record of so much that is best in mathematics today.

Entire and Subharmonic Functions
  • Language: en
  • Pages: 298

Entire and Subharmonic Functions

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Algebraic and Geometric Methods in Mathematical Physics
  • Language: en
  • Pages: 471

Algebraic and Geometric Methods in Mathematical Physics

Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993

Analysis Meets Geometry
  • Language: en
  • Pages: 464

Analysis Meets Geometry

  • Type: Book
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  • Published: 2017-09-04
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  • Publisher: Birkhäuser

This book is dedicated to the memory of Mikael Passare, an outstanding Swedish mathematician who devoted his life to developing the theory of analytic functions in several complex variables and exploring geometric ideas first-hand. It includes several papers describing Mikael’s life as well as his contributions to mathematics, written by friends of Mikael’s who share his attitude and passion for science. A major section of the book presents original research articles that further develop Mikael’s ideas and which were written by his former students and co-authors. All these mathematicians work at the interface of analysis and geometry, and Mikael’s impact on their research cannot be underestimated. Most of the contributors were invited speakers at the conference organized at Stockholm University in his honor. This book is an attempt to express our gratitude towards this great mathematician, who left us full of energy and new creative mathematical ideas.

Classical Nonintegrability, Quantum Chaos
  • Language: en
  • Pages: 104

Classical Nonintegrability, Quantum Chaos

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in th...

The Brain and Host Defense
  • Language: en
  • Pages: 362

The Brain and Host Defense

  • Type: Book
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  • Published: 2009-12-24
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  • Publisher: Elsevier

It is now well recognized that the brain, and especially the hypothalamus, plays an important role in the regulation of immune reactions and inflammation. This book aims to review our current state of knowledge of this important field. Key historical findings are presented, and the reciprocal interactions between the brain and the immune system are examined. Particular emphasis is placed on inflammation, a critical host defense reaction that serves as an effector response for both the adaptive and innate immune systems. Mechanisms implicated in brain defense, as well as in more general host defense, are discussed. The regulatory influences of the brain on inflammatory responses are included ...

Fourier Analysis and Approximation of Functions
  • Language: en
  • Pages: 595

Fourier Analysis and Approximation of Functions

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration t...

Advances in Mathematics Research
  • Language: en
  • Pages: 222

Advances in Mathematics Research

Mathematics has been behind many of humanity's most significant advances in fields as varied as genome sequencing, medical science, space exploration, and computer technology. But those breakthroughs were yesterday. Where will mathematicians lead us tomorrow and can we help shape that destiny? This book assembles carefully selected articles highlighting and explaining cutting-edge research and scholarship in mathematics.

Normal Approximations with Malliavin Calculus
  • Language: en
  • Pages: 255

Normal Approximations with Malliavin Calculus

This book shows how quantitative central limit theorems can be deduced by combining two powerful probabilistic techniques: Stein's method and Malliavin calculus.