Thomas Micchelli's Books

Mathematical Models of Fluid Dynamics

Modelling, Theory, Basic Numerical Facts - An Introduction

By: Rainer Ansorge,Thomas Sonar

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Mathematical Models of Fluid Dynamics

Modelling, Theory, Basic Numerical Facts - An Introduction

By: Rainer Ansorge,Thomas Sonar

Without sacrificing scientific strictness, this introduction to the field guides readers through mathematical modeling, the theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behavior of the dynamics of physical flow. The book is carefully divided into three main parts: - The design of mathematical models of physical fluid flow; - A theoretical treatment of the equations representing the model, as Navier-Stokes, Euler, and boundary layer equations, models of turbulence, in order to gain qualitative as well as quantitative insights into the processes of flow events; - The construction and effective use of numerical procedures in order to find quantitative descriptions of concrete physical or technical fluid flow situations. Both students and experts wanting to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from this combination of all relevant aspects in one handy volume.

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Page Count

242

Publisher

John Wiley & Sons

Published Date

ISBN 10

3527627979

ISBN 13

9783527627974

Reproducing Kernel Hilbert Spaces in Probability and Statistics

By: Alain Berlinet,Christine Thomas-Agnan

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Reproducing Kernel Hilbert Spaces in Probability and Statistics

By: Alain Berlinet,Christine Thomas-Agnan

The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students in Statistics, Mathematics or Engineering, or to scientists with an equivalent level.

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Page Count

369

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441990968

ISBN 13

9781441990969

Fractional Dynamics on Networks and Lattices

By: Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau

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Fractional Dynamics on Networks and Lattices

By: Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau

This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights. In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.

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Page Count

340

Publisher

John Wiley & Sons

Published Date

ISBN 10

178630158X

ISBN 13

9781786301581

Thoughtful Images

Illustrating Philosophy Through Art

By: Thomas E. Wartenberg

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Thoughtful Images

Illustrating Philosophy Through Art

By: Thomas E. Wartenberg

Thoughtful Images: Philosophy Illustrated is the first systematic investigation of how artists throughout the ages have illustrated philosophical texts, ideas, concepts, and theories. The book begins by developing a theory of visual illustrations of philosophical texts and undermining what the author calls "the denigration of illustration." The book then takes a more historical approach, beginning in Ancient Greece and Rome and proceeding through Medieval illuminations and printed broadsides to the frontispieces of philosophical texts. Throughout, attention is paid to how technological developments enable different means for illustrating philosophy"--

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369

Publisher

Oxford University Press

Published Date

ISBN 10

0197650546

ISBN 13

9780197650547

The Subregular Germ of Orbital Integrals

By: Thomas Callister Hales

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The Subregular Germ of Orbital Integrals

By: Thomas Callister Hales

An integral formula for the subregular germ of a [italic small capital]K-orbital integral is developed. The formula holds for any reductive group over a [italic]p-adic field of characteristic zero. This expression of the subregular germ is obtained by applying Igusa's theory of asymptotic expansions. The integral formula is applied to the question of the transfer of a [italic small capital]K-orbital integral to an endoscopic group. It is shown that the quadratic characters arising in the subregular germs are compatible with the transfer. Details of the transfer are given for the subregular germ of unitary groups.

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Page Count

161

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821825399

ISBN 13

9780821825396

Symmetry, Phase Modulation and Nonlinear Waves

By: Thomas J. Bridges

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Symmetry, Phase Modulation and Nonlinear Waves

By: Thomas J. Bridges

Bridges studies the origin of Korteweg-de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.

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Page Count

239

Publisher

Cambridge University Press

Published Date

ISBN 10

1107188849

ISBN 13

9781107188846

Banach Spaces of Analytic Functions

AMS Special Session, April 22-23, 2006, University of New Hampshire, Durham, New Hampshire

By: Thomas H. MacGregor

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Banach Spaces of Analytic Functions

AMS Special Session, April 22-23, 2006, University of New Hampshire, Durham, New Hampshire

By: Thomas H. MacGregor

This volume is focused on Banach spaces of functions analytic in the open unit disc, such as the classical Hardy and Bergman spaces, and weighted versions of these spaces. Other spaces under consideration here include the Bloch space, the families of Cauchy transforms and fractional Cauchy transforms, BMO, VMO, and the Fock space. Some of the work deals with questions about functions in several complex variables.

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Page Count

162

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821842684

ISBN 13

9780821842683

Neural Approximations for Optimal Control and Decision

By: Riccardo Zoppoli,Marcello Sanguineti,Giorgio Gnecco,Thomas Parisini

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Neural Approximations for Optimal Control and Decision

By: Riccardo Zoppoli,Marcello Sanguineti,Giorgio Gnecco,Thomas Parisini

Neural Approximations for Optimal Control and Decision provides a comprehensive methodology for the approximate solution of functional optimization problems using neural networks and other nonlinear approximators where the use of traditional optimal control tools is prohibited by complicating factors like non-Gaussian noise, strong nonlinearities, large dimension of state and control vectors, etc. Features of the text include: • a general functional optimization framework; • thorough illustration of recent theoretical insights into the approximate solutions of complex functional optimization problems; • comparison of classical and neural-network based methods of approximate solution; • bounds to the errors of approximate solutions; • solution algorithms for optimal control and decision in deterministic or stochastic environments with perfect or imperfect state measurements over a finite or infinite time horizon and with one decision maker or several; • applications of current interest: routing in communications networks, traffic control, water resource management, etc.; and • numerous, numerically detailed examples. The authors’ diverse backgrounds in systems and control theory, approximation theory, machine learning, and operations research lend the book a range of expertise and subject matter appealing to academics and graduate students in any of those disciplines together with computer science and other areas of engineering.

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Page Count

532

Publisher

Springer Nature

Published Date

ISBN 10

3030296938

ISBN 13

9783030296933

Deep Learning through Sparse and Low-Rank Modeling

By: Zhangyang Wang,Yun Fu,Thomas S. Huang

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Deep Learning through Sparse and Low-Rank Modeling

By: Zhangyang Wang,Yun Fu,Thomas S. Huang

Deep Learning through Sparse Representation and Low-Rank Modeling bridges classical sparse and low rank models-those that emphasize problem-specific Interpretability-with recent deep network models that have enabled a larger learning capacity and better utilization of Big Data. It shows how the toolkit of deep learning is closely tied with the sparse/low rank methods and algorithms, providing a rich variety of theoretical and analytic tools to guide the design and interpretation of deep learning models. The development of the theory and models is supported by a wide variety of applications in computer vision, machine learning, signal processing, and data mining. This book will be highly useful for researchers, graduate students and practitioners working in the fields of computer vision, machine learning, signal processing, optimization and statistics.

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Page Count

296

Publisher

Academic Press

Published Date

ISBN 10

0128136596

ISBN 13

9780128136591

Markov Cell Structures near a Hyperbolic Set

By: F. Thomas Farrell,Lowell Jones

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Markov Cell Structures near a Hyperbolic Set

By: F. Thomas Farrell,Lowell Jones

The authors' argument is a spiritual descendent of earlier work of Adler and Weiss, Sinaĭ, and Bowen, and involves a close study of triangulations. The discussion is long and technical, but the outline of the proof is sketched clearly in Section 1 for the special case of [italic]F an expanding immersion. A concluding section lists problems on hyperbolic sets, Markov partitions, and related matters; remarks on topological invariants, including the conjectured vanishing of Pontryagin classes for manifolds supporting Anosov diffeomorphisms, may be of particular interest.

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Page Count

151

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821825534

ISBN 13

9780821825532

Data Science and Machine Learning

Mathematical and Statistical Methods

By: Dirk P. Kroese,Zdravko Botev,Thomas Taimre,Radislav Vaisman

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Data Science and Machine Learning

Mathematical and Statistical Methods

By: Dirk P. Kroese,Zdravko Botev,Thomas Taimre,Radislav Vaisman

Focuses on mathematical understanding Presentation is self-contained, accessible, and comprehensive Full color throughout Extensive list of exercises and worked-out examples Many concrete algorithms with actual code

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Page Count

538

Publisher

CRC Press

Published Date

ISBN 10

1000730778

ISBN 13

9781000730777

Semistability of Amalgamated Products and HNN-Extensions

By: Michael L. Mihalik,Steven Thomas Tschantz

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Semistability of Amalgamated Products and HNN-Extensions

By: Michael L. Mihalik,Steven Thomas Tschantz

In this work, the authors show that amalgamated products and HNN-extensions of finitely presented semistable at infinity groups are also semistable at infinity. A major step toward determining whether all finitely presented groups are semistable at infinity, this result easily generalizes to finite graphs of groups. The theory of group actions on trees and techniques derived from the proof of Dunwoody's accessibility theorem are key ingredients in this work.

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American Mathematical Soc.

Published Date

ISBN 10

0821825313

ISBN 13

9780821825310

Artists Respond

American Art and the Vietnam War, 1965–1975

By: Melissa Ho,Thomas Crow,Erica Levin,Mignon Nixon,Martha Rosler,Smithsonian American Art Museum

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Artists Respond

American Art and the Vietnam War, 1965–1975

By: Melissa Ho,Thomas Crow,Erica Levin,Mignon Nixon,Martha Rosler,Smithsonian American Art Museum

Published in conjunction with the exhibition of the same name, on view at the Smithsonian American Art Museum, Washington, DC, March 15, 2019 to August 18, 2019.

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Page Count

417

Publisher

Princeton University Press

Published Date

ISBN 10

0691191182

ISBN 13

9780691191188

Encyclopedia of Molecular Biology, Volume 3

By: Thomas E. Creighton

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Encyclopedia of Molecular Biology, Volume 3

By: Thomas E. Creighton

Annotation The field of molecular biology has revolutionized the study of biology. The applications to medicine are enormous, ranging from diagnostic techniques for disease and genetic disorders, to drugs, to gene therapy. Focusing on the fundamentals of molecular biology and encompassing all aspects of the expression of genetic information, the Encyclopedia of Molecular Biology will become the first point of reference for both newcomers and established professionals in molecular biology needing to learn about any particular aspect of the field.

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Page Count

760

Publisher

Wiley-Interscience

Published Date

ISBN 10

0471166464

ISBN 13

9780471166467

Book's by Thomas Micchelli

Mathematical Models of Fluid Dynamics

Mathematical Models of Fluid Dynamics

Reproducing Kernel Hilbert Spaces in Probability and Statistics

Reproducing Kernel Hilbert Spaces in Probability and Statistics

Fractional Dynamics on Networks and Lattices

Fractional Dynamics on Networks and Lattices

Thoughtful Images

Thoughtful Images

The Subregular Germ of Orbital Integrals

The Subregular Germ of Orbital Integrals

Symmetry, Phase Modulation and Nonlinear Waves

Symmetry, Phase Modulation and Nonlinear Waves

Banach Spaces of Analytic Functions

Banach Spaces of Analytic Functions

Neural Approximations for Optimal Control and Decision

Neural Approximations for Optimal Control and Decision

Deep Learning through Sparse and Low-Rank Modeling

Deep Learning through Sparse and Low-Rank Modeling

Markov Cell Structures near a Hyperbolic Set

Markov Cell Structures near a Hyperbolic Set

Data Science and Machine Learning

Data Science and Machine Learning

Semistability of Amalgamated Products and HNN-Extensions

Semistability of Amalgamated Products and HNN-Extensions

Artists Respond

Artists Respond

Encyclopedia of Molecular Biology, Volume 3

Encyclopedia of Molecular Biology, Volume 3

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