Metric Diffusion Along Foliations

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Release : 2017-05-16
Genre : Mathematics
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Book Rating : 171/5 ( reviews)

Metric Diffusion Along Foliations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Metric Diffusion Along Foliations write by Szymon M. Walczak. This book was released on 2017-05-16. Metric Diffusion Along Foliations available in PDF, EPUB and Kindle. Up-to-date research in metric diffusion along compact foliations is presented in this book. Beginning with fundamentals from the optimal transportation theory and the theory of foliations; this book moves on to cover Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the weak topology by the Wasserstein distance. Metric diffusion is defined, the topology of the metric space is studied and the limits of diffused metrics along compact foliations are discussed. Essentials on foliations, holonomy, heat diffusion, and compact foliations are detailed and vital technical lemmas are proved to aide understanding. Graduate students and researchers in geometry, topology and dynamics of foliations and laminations will find this supplement useful as it presents facts about the metric diffusion along non-compact foliation and provides a full description of the limit for metrics diffused along foliation with at least one compact leaf on the two dimensions.

New Trends on Analysis and Geometry in Metric Spaces

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Release : 2022-02-04
Genre : Mathematics
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Book Rating : 413/5 ( reviews)

New Trends on Analysis and Geometry in Metric Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Trends on Analysis and Geometry in Metric Spaces write by Fabrice Baudoin. This book was released on 2022-02-04. New Trends on Analysis and Geometry in Metric Spaces available in PDF, EPUB and Kindle. This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot–Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.

Foliations 2012 - Proceedings Of The International Conference

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Release : 2013-10-25
Genre : Mathematics
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Book Rating : 874/5 ( reviews)

Foliations 2012 - Proceedings Of The International Conference - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foliations 2012 - Proceedings Of The International Conference write by Jesus A Alvarez Lopez. This book was released on 2013-10-25. Foliations 2012 - Proceedings Of The International Conference available in PDF, EPUB and Kindle. This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference “FOLIATIONS 2012”. It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research.

Foliations II

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Release : 2000
Genre : Mathematics
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Book Rating : 818/5 ( reviews)

Foliations II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foliations II write by Alberto Candel. This book was released on 2000. Foliations II available in PDF, EPUB and Kindle. This is the second of two volumes on foliations (the first is Volume 23 of this series). In this volume, three specialized topics are treated: analysis on foliated spaces, characteristic classes of foliations, and foliated three-manifolds. Each of these topics represents deep interaction between foliation theory and another highly developed area of mathematics. In each case, the goal is to provide students and other interested people with a substantial introduction to the topic leading to further study using the extensive available literature.

First European Congress of Mathematics Paris, July 6–10, 1992

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Release : 1994-07
Genre : Mathematics
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Book Rating : 996/5 ( reviews)

First European Congress of Mathematics Paris, July 6–10, 1992 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First European Congress of Mathematics Paris, July 6–10, 1992 write by Anthony Joseph. This book was released on 1994-07. First European Congress of Mathematics Paris, July 6–10, 1992 available in PDF, EPUB and Kindle. Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice • J. Fröhlich: Mathematical Aspects of the Quantum Hall Effect • M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings • U. Hamenstädt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations • M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology • S.B. Kuksin: KAM-Theory for Partial Differential Equations • M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results • J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial Differential Equations • I. Madsen: The Cyclotomic Trace in Algebraic K-Theory • A.S. Merkurjev: Algebraic K-Theory and Galois Cohomology • J. Nekovár: Values of L-Functions and p-Adic Cohomology • Y.A. Neretin: Mantles, Trains and Representations of Infinite Dimensional Groups • M.A. Nowak: The Evolutionary Dynamics of HIV Infections • R. Piene: On the Enumeration of Algebraic Curves - from Circles to Instantons • A. Quarteroni: Mathematical Aspects of Domain Decomposition Methods • A. Schrijver: Paths in Graphs and Curves on Surfaces • B. Silverman: Function Estimation and Functional Data Analysis • V. Strassen: Algebra and Complexity • P. Tukia: Generalizations of Fuchsian and Kleinian Groups • C. Viterbo: Properties of Embedded Lagrange Manifolds • D. Voiculescu: Alternative Entropies in Operator Algebras • M. Wodzicki : Algebraic K-Theory and Functional Analysis • D. Zagier: Values of Zeta Functions and Their Applications