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  • New Trends in Geometric Analysis

    Spanish Network of Geometric Analysis 2007-2021

    Series series Mathematics and Statistics (R0)
    The aim of this book is to provide an overview of some of the progress made by the Spanish Network of Geometric Analysis (REAG, by its Spanish acronym) since its born in 2007. REAG was created with the objective of enabling the interchange of ideas and the knowledge transfer between several Spanish groups having Geometric Analysis as a common research line. This includes nine groups at Universidad ... Read more

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    Series Book 198 - Mathematics in Science and Engineering
    This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional ... Read more

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  • Asymptotic Time Decay In Quantum Physics

    Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability properties and irreversibility and the “arrow of time”.This monograph is devoted to a clear and precise, yet pedagogical account of the associated concepts and methods. ... Read more

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  • Handbook of Global Analysis

    This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "Global Analysis, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global ... Read more

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  • Geometric Control Theory and Sub-Riemannian Geometry

    Series series Mathematics and Statistics (R0)
    Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be ... Read more

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    Conceptual Foundations of Quantum Mechanics provides a detailed view of the conceptual foundations and problems of quantum physics, and a clear and comprehensive account of the fundamental physical implications of the quantum formalism. This book deals with nonseparability, hidden variable theories, measurement theories and several related problems. Mathematical arguments are presented with an ... Read more

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  • Topics in Physical Mathematics

    Series series Mathematics and Statistics (R0)
    As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two ... Read more

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  • Stochastic Partial Differential Equations and Applications

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    Series series Lecture Notes in Pure and Applied Mathematics
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    Series series Mathematics and Statistics (R0)
    Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.A. Guillot’s notes aim to describe differential equations in the complex domain, ... Read more

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