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  • Berkovich Spaces and Applications

    Series series Mathematics and Statistics (R0)
    We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. The second part ... Leer más

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  • Analytic Aspects of Convexity

    Series series Mathematics and Statistics (R0)
    This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will ... Leer más

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  • Time-Varying Vector Fields and Their Flows

    Series series Mathematics and Statistics (R0)
    This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the manner in which the various hypotheses are unified using functional analysis. Indeed, a major ... Leer más

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  • Ramsey Theory

    Yesterday, Today, and Tomorrow

    Edición de Alexander Soifer ...
    Series series Mathematics and Statistics (R0)
    Ramsey theory is a relatively “new,” approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measure theory. Ramsey theory possesses its own unifying ideas, and some of its results are among the most beautiful theorems ... Leer más

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  • Mumford-Tate Groups and Domains

    Their Geometry and Arithmetic

    Series Libro 183 - Annals of Mathematics Studies
    Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers.Although Mumford-Tate ... Leer más

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  • Operator Algebra and Dynamics

    Nordforsk Network Closing Conference, Faroe Islands, May 2012

    Series series Springer Nature Proceedings excluding Computer Science
    Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with ... Leer más

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  • Twisted Teichmüller Curves

    Series series Mathematics and Statistics (R0)
    These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmüller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. These new objects are analyzed in detail and their main properties are described. In particular, the volume of twisted Teichmüller curves is calculated and their components are partially ... Leer más

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  • Exploring the Riemann Zeta Function

    190 years from Riemann's Birth

    Series series Mathematics and Statistics (R0)
    Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.The book focuses on both old ... Leer más

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  • Extended Abstracts Summer 2015

    Strategic Behavior in Combinatorial Structures; Quantitative Finance

    Series series Springer Nature Proceedings excluding Computer Science
    This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics. Phase Transitions has been an active multidisciplinary field of research, bringing together physicists, computer scientists and mathematicians. The main research theme explores how ... Leer más

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  • Asymptotic Geometric Analysis

    Proceedings of the Fall 2010 Fields Institute Thematic Program

    Series series Springer Nature Proceedings excluding Computer Science
    Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and ... Leer más

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  • L-Functions and Automorphic Forms

    LAF, Heidelberg, February 22-26, 2016

    Series series Springer Nature Proceedings excluding Computer Science
    This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held at the University of Heidelberg in 2016.The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and ... Leer más

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  • Ergodic Theory

    Independence and Dichotomies

    Series series Mathematics and Statistics (R0)
    This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability. The more advanced ... Leer más

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