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  • Geometric Aspects of Functional Analysis

    Israel Seminar (GAFA) 2020-2022

    Series series Mathematics and Statistics (R0)
    This book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local theory of Banach spaces is the study of probability measures in high dimension and the concentration of measure phenomenon. Here this phenomenon is approached from different angles, including through analysis on the Hamming cube, and via ... Read more

    $89.99 CAD

  • Geometric Aspects of Functional Analysis

    Israel Seminar (GAFA) 2017-2019 Volume I

    Edited by Bo'az Klartag, Emanuel Milman ...
    Series series Mathematics and Statistics (R0)
    Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest ... Read more

    $83.99 CAD

  • Geometric Aspects of Functional Analysis

    Israel Seminar (GAFA) 2017-2019 Volume II

    Edited by Bo'az Klartag, Emanuel Milman ...
    Series series Mathematics and Statistics (R0)
    Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest ... Read more

    $83.99 CAD

  • Geometric Aspects of Functional Analysis

    Israel Seminar (GAFA) 2014–2016

    Edited by Bo'az Klartag, Emanuel Milman ...
    Series series Mathematics and Statistics (R0)
    As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are ... Read more

    $89.99 CAD

  • Geometric Aspects of Functional Analysis

    Israel Seminar (GAFA) 2011-2013

    Edited by Emanuel Milman, Bo'az Klartag ...
    Series series Mathematics and Statistics (R0)
    As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis. Most of the papers deal with different aspects of Asymptotic Geometric Analysis, understood in a broad sense; many continue the study of geometric and volumetric properties of convex bodies and log-concave measures in high-dimensions and in particular the mean-norm ... Read more

    $64.99 CAD

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    The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical ... Read more

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  • Convexity and Concentration

    Series series Springer Nature Proceedings excluding Computer Science
    This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus.Leading experts have written surveys of research problems, making state of the art results ... Read more

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  • Stochastic Simulation and Monte Carlo Methods

    Mathematical Foundations of Stochastic Simulation

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    In various scientific and industrial fields, stochastic simulations are taking on a new importance. This is due to the increasing power of computers and practitioners’ aim to simulate more and more complex systems, and thus use random parameters as well as random noises to model the parametric uncertainties and the lack of knowledge on the physics of these systems. The error analysis of these ... Read more

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    From Linear to Non-Linear

    Developed from the author’s course at the Ecole Polytechnique, Monte-Carlo Methods and Stochastic Processes: From Linear to Non-Linear focuses on the simulation of stochastic processes in continuous time and their link with partial differential equations (PDEs). It covers linear and nonlinear problems in biology, finance, geophysics, mechanics, chemistry, and other application areas. The text also ... Read more

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  • Short-Memory Linear Processes and Econometric Applications

    This book serves as a comprehensive source of asymptotic results for econometric models with deterministic exogenous regressors. Such regressors include linear (more generally, piece-wise polynomial) trends, seasonally oscillating functions, and slowly varying functions including logarithmic trends, as well as some specifications of spatial matrices in the theory of spatial models. The book begins ... Read more

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  • Brownian Motion and Stochastic Calculus

    Series series Mathematics and Statistics (R0)
    This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous ... Read more

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  • Martingales in Banach Spaces

    by Gilles Pisier ...
    Series Book 155 - Cambridge Studies in Advanced Mathematics
    This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has ... Read more

    $87.99 CAD