Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II
Title Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II PDF eBook
Author David Carfi
Publisher American Mathematical Soc.
Pages 384
Release 2013-10-24
Genre Mathematics
ISBN 0821891480

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This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics
Title Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics PDF eBook
Author David Carfi
Publisher American Mathematical Soc.
Pages 410
Release 2013-10-22
Genre Mathematics
ISBN 0821891472

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This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry (and some aspects of dynamical systems) in pure mathematics. Also included are articles discussing a variety of connections of fractal geometry with other fields of mathematics, including probability theory, number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis and spectral geometry. The companion volume (Contemporary Mathematics, Volume 601) focuses on applications of fractal geometry and dynamical systems to other sciences, including physics, engineering, computer science, economics, and finance.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics
Title Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics PDF eBook
Author David Carfì
Publisher
Pages
Release 2013
Genre
ISBN

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Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs

Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs
Title Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs PDF eBook
Author Alexander Grigor'yan
Publisher Walter de Gruyter GmbH & Co KG
Pages 337
Release 2021-01-18
Genre Mathematics
ISBN 3110700859

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The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.

Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro

Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro
Title Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro PDF eBook
Author James W. Cogdell
Publisher American Mathematical Soc.
Pages 454
Release 2014-04-01
Genre Mathematics
ISBN 0821893947

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This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

Fractal Geometry and Stochastics V

Fractal Geometry and Stochastics V
Title Fractal Geometry and Stochastics V PDF eBook
Author Christoph Bandt
Publisher Birkhäuser
Pages 339
Release 2015-07-08
Genre Mathematics
ISBN 3319186604

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This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. Each part starts with a state-of-the-art survey followed by papers covering a specific aspect of the topic. The authors are leading world experts and present their topics comprehensibly and attractively. Both newcomers and specialists in the field will benefit from this book.

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory
Title Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory PDF eBook
Author Vyjayanthi Chari
Publisher American Mathematical Soc.
Pages 222
Release 2013-11-25
Genre Mathematics
ISBN 0821890379

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This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.