New Developments In The Analysis Of Nonlocal Operators

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New Developments in the Analysis of Nonlocal Operators

Author : Donatella Danielli
Publisher : American Mathematical Soc.
ISBN 13 : 1470441101
Total Pages : 214 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis New Developments in the Analysis of Nonlocal Operators by : Donatella Danielli

Download or read book New Developments in the Analysis of Nonlocal Operators written by Donatella Danielli and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators, held from October 28–30, 2016, at the University of St. Thomas, Minneapolis, Minnesota. Over the last decade there has been a resurgence of interest in problems involving nonlocal operators, motivated by applications in many areas such as analysis, geometry, and stochastic processes. Problems represented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives, the behavior of the one-phase Bernoulli-type free boundary near a fixed boundary and its relation to a Signorini-type problem, connections between fractional powers of the spherical Laplacian and zeta functions from the analytic number theory and differential geometry, and obstacle problems for a class of not stable-like nonlocal operators for asset price models widely used in mathematical finance. The volume also features a comprehensive introduction to various aspects of the fractional Laplacian, with many historical remarks and an extensive list of references, suitable for beginners and more seasoned researchers alike.

New Developments in the Analysis of Nonlocal Operators

Author : Donatella Danielli
Publisher :
ISBN 13 : 9781470451516
Total Pages : 226 pages
Book Rating : 4.4/5 (515 download)

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Book Synopsis New Developments in the Analysis of Nonlocal Operators by : Donatella Danielli

Download or read book New Developments in the Analysis of Nonlocal Operators written by Donatella Danielli and published by . This book was released on 2019 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators, held from October 28-30, 2016, at the University of St. Thomas, Minneapolis, Minnesota. Over the last decade there has been a resurgence of interest in problems involving nonlocal operators, motivated by applications in many areas such as analysis, geometry, and stochastic processes. Problems represented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives, the behavior of the one-phase Bernoulli-type free bo.

Nonlocal and Fractional Operators

Author : Luisa Beghin
Publisher : Springer Nature
ISBN 13 : 3030692361
Total Pages : 308 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Nonlocal and Fractional Operators by : Luisa Beghin

Download or read book Nonlocal and Fractional Operators written by Luisa Beghin and published by Springer Nature. This book was released on 2021-07-23 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to explore new bridges between different research areas involved in the theory and applications of the fractional calculus. In particular, it collects scientific and original contributions to the development of the theory of nonlocal and fractional operators. Special attention is given to the applications in mathematical physics, as well as in probability. Numerical methods aimed to the solution of problems with fractional differential equations are also treated in the book. The contributions have been presented during the international workshop "Nonlocal and Fractional Operators", held in Sapienza University of Rome, in April 2019, and dedicated to the retirement of Prof. Renato Spigler (University Roma Tre). Therefore we also wish to dedicate this volume to this occasion, in order to celebrate his scientific contributions in the field of numerical analysis and fractional calculus. The book is suitable for mathematicians, physicists and applied scientists interested in the various aspects of fractional calculus.

Recent Trends in Operator Theory and Applications

Author : Fernanda Botelho
Publisher : American Mathematical Soc.
ISBN 13 : 1470448955
Total Pages : 183 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Recent Trends in Operator Theory and Applications by : Fernanda Botelho

Download or read book Recent Trends in Operator Theory and Applications written by Fernanda Botelho and published by American Mathematical Soc.. This book was released on 2019-10-04 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018), held from May 3–5, 2018, at the University of Memphis, Memphis, Tennessee. The articles introduce topics from operator theory to graduate students and early career researchers. Each such article provides insightful references, selection of results with articulation to modern research and recent advances in the area. Topics addressed in this volume include: generalized numerical ranges and their application to study perturbation of operators, and connections to quantum error correction; a survey of results on Toeplitz operators, and applications of Toeplitz operators to the study of reproducing kernel functions; results on the 2-local reflexivity problem of a set of operators; topics from the theory of preservers; and recent trends on the study of quotients of tensor product spaces and tensor operators. It also includes research articles that present overviews of state-of-the-art techniques from operator theory as well as applications to recent research trends and open questions. A goal of all articles is to introduce topics within operator theory to the general public.

Topics in Applied Analysis and Optimisation

Author : Michael Hintermüller
Publisher : Springer Nature
ISBN 13 : 3030331164
Total Pages : 396 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Topics in Applied Analysis and Optimisation by : Michael Hintermüller

Download or read book Topics in Applied Analysis and Optimisation written by Michael Hintermüller and published by Springer Nature. This book was released on 2019-11-27 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.

K-theory in Algebra, Analysis and Topology

Author : Guillermo Cortiñas
Publisher : American Mathematical Soc.
ISBN 13 : 1470450267
Total Pages : 388 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis K-theory in Algebra, Analysis and Topology by : Guillermo Cortiñas

Download or read book K-theory in Algebra, Analysis and Topology written by Guillermo Cortiñas and published by American Mathematical Soc.. This book was released on with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the ICM 2018 satellite school and workshop K-theory conference in Argentina. The school was held from July 16–20, 2018, in La Plata, Argentina, and the workshop was held from July 23–27, 2018, in Buenos Aires, Argentina. The volume showcases current developments in K-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections. Papers cover topics such as K-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative K-groups of monoid algebras, Milnor K-theory and regulators, noncommutative motives, the classification of C∗-algebras via Kasparov's K-theory, the comparison between full and reduced C∗-crossed products, and a proof of Bott periodicity using almost commuting matrices.

Advances in Harmonic Analysis and Partial Differential Equations

Author : Donatella Danielli
Publisher : American Mathematical Soc.
ISBN 13 : 1470448963
Total Pages : 200 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Advances in Harmonic Analysis and Partial Differential Equations by : Donatella Danielli

Download or read book Advances in Harmonic Analysis and Partial Differential Equations written by Donatella Danielli and published by American Mathematical Soc.. This book was released on 2020-04-09 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Partial Differential Equations, held from April 21–22, 2018, at Northeastern University, Boston, Massachusetts. The book features a series of recent developments at the interface between harmonic analysis and partial differential equations and is aimed toward the theoretical and applied communities of researchers working in real, complex, and harmonic analysis, partial differential equations, and their applications. The topics covered belong to the general areas of the theory of function spaces, partial differential equations of elliptic, parabolic, and dissipative types, geometric optics, free boundary problems, and ergodic theory, and the emphasis is on a host of new concepts, methods, and results.

Nonlinear Fractional Schrödinger Equations in R^N

Author : Vincenzo Ambrosio
Publisher : Springer Nature
ISBN 13 : 3030602206
Total Pages : 669 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Nonlinear Fractional Schrödinger Equations in R^N by : Vincenzo Ambrosio

Download or read book Nonlinear Fractional Schrödinger Equations in R^N written by Vincenzo Ambrosio and published by Springer Nature. This book was released on 2021-04-19 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space. More precisely, it investigates the existence, multiplicity and qualitative properties of solutions for fractional Schrödinger equations by applying suitable variational and topological methods. The book is mainly intended for researchers in pure and applied mathematics, physics, mechanics, and engineering. However, the material will also be useful for students in higher semesters and young researchers, as well as experienced specialists working in the field of nonlocal PDEs. This is the first book to approach fractional nonlinear Schrödinger equations by applying variational and topological methods.

Analytic Trends in Mathematical Physics

Author : Houssam Abdul-Rahman
Publisher : American Mathematical Soc.
ISBN 13 : 1470448416
Total Pages : 206 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Analytic Trends in Mathematical Physics by : Houssam Abdul-Rahman

Download or read book Analytic Trends in Mathematical Physics written by Houssam Abdul-Rahman and published by American Mathematical Soc.. This book was released on 2020-01-06 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Arizona School of Analysis and Mathematical Physics, held from March 5–9, 2018, at the University of Arizona, Tucson, Arizona. A main goal of this school was to introduce graduate students and postdocs to exciting topics of current research that are both influenced by physical intuition and require the use of cutting-edge mathematics. The articles in this volume reflect recent progress and innovative techniques developed within mathematical physics. Two works investigate spectral gaps of quantum spin systems. Specifically, Abdul-Rahman, Lemm, Lucia, Nachtergaele, and Young consider decorated AKLT models, and Lemm demonstrates a finite-size criterion for D D-dimensional models. Bachmann, De Roeck, and Fraas summarize a recent proof of the adiabatic theorem, while Bachmann, Bols, De Roeck, and Fraas discuss linear response for interacting Hall insulators. Models on general graphs are the topic of the articles by Fischbacher, on higher spin XXZ, and by Latushkin and Sukhtaiev, on an index theorem for Schrödinger operators. Probabilistic applications are the focus of the articles by DeMuse and Yin, on exponential random graphs, by Saenz, on KPZ universality, and by Stolz, on disordered quantum spin chains. In all, the diversity represented here is a testament to the enthusiasm this rich field of mathematical physics generates.

Topological Phases of Matter and Quantum Computation

Author : Paul Bruillard
Publisher : American Mathematical Soc.
ISBN 13 : 1470440741
Total Pages : 240 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topological Phases of Matter and Quantum Computation by : Paul Bruillard

Download or read book Topological Phases of Matter and Quantum Computation written by Paul Bruillard and published by American Mathematical Soc.. This book was released on 2020-03-31 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Topological Phases of Matter and Quantum Computation, held from September 24–25, 2016, at Bowdoin College, Brunswick, Maine. Topological quantum computing has exploded in popularity in recent years. Sitting at the triple point between mathematics, physics, and computer science, it has the potential to revolutionize sub-disciplines in these fields. The academic importance of this field has been recognized in physics through the 2016 Nobel Prize. In mathematics, some of the 1990 Fields Medals were awarded for developments in topics that nowadays are fundamental tools for the study of topological quantum computation. Moreover, the practical importance of this discipline has been underscored by recent industry investments. The relative youth of this field combined with a high degree of interest in it makes now an excellent time to get involved. Furthermore, the cross-disciplinary nature of topological quantum computing provides an unprecedented number of opportunities for cross-pollination of mathematics, physics, and computer science. This can be seen in the variety of works contained in this volume. With articles coming from mathematics, physics, and computer science, this volume aims to provide a taste of different sub-disciplines for novices and a wealth of new perspectives for veteran researchers. Regardless of your point of entry into topological quantum computing or your experience level, this volume has something for you.

Dynamics: Topology and Numbers

Author : Pieter Moree
Publisher : American Mathematical Soc.
ISBN 13 : 147045100X
Total Pages : 347 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Dynamics: Topology and Numbers by : Pieter Moree

Download or read book Dynamics: Topology and Numbers written by Pieter Moree and published by American Mathematical Soc.. This book was released on 2020-02-12 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.

Model Theory of Modules, Algebras and Categories

Author : Alberto Facchini
Publisher : American Mathematical Soc.
ISBN 13 : 1470443678
Total Pages : 237 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Model Theory of Modules, Algebras and Categories by : Alberto Facchini

Download or read book Model Theory of Modules, Algebras and Categories written by Alberto Facchini and published by American Mathematical Soc.. This book was released on 2019-05-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28–August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.

A Panorama of Singularities

Author : Francisco-Jesús Castro-Jiménez
Publisher : American Mathematical Soc.
ISBN 13 : 1470447924
Total Pages : 217 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Panorama of Singularities by : Francisco-Jesús Castro-Jiménez

Download or read book A Panorama of Singularities written by Francisco-Jesús Castro-Jiménez and published by American Mathematical Soc.. This book was released on 2020-01-13 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference A Panorama on Singular Varieties, celebrating the 70th birthday of Lê Dũng Tráng, held from February 7–10, 2017, at the University of Seville, IMUS, Seville, Spain. The articles cover a wide range of topics in the study of singularities and should be of great value to graduate students and research faculty who have a basic background in the theory of singularities.

Motivic Homotopy Theory and Refined Enumerative Geometry

Author : Federico Binda
Publisher : American Mathematical Soc.
ISBN 13 : 147044898X
Total Pages : 267 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Motivic Homotopy Theory and Refined Enumerative Geometry by : Federico Binda

Download or read book Motivic Homotopy Theory and Refined Enumerative Geometry written by Federico Binda and published by American Mathematical Soc.. This book was released on 2020-03-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14–18, 2018, at the Universität Duisburg-Essen, Essen, Germany. It constitutes an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes aimed at the graduate student level and research articles pointing towards the manifold promising applications of this refined approach, it broadly covers refined enumerative algebraic geometry.

Topology and Geometry of Biopolymers

Author : Erica Flapan
Publisher : American Mathematical Soc.
ISBN 13 : 1470448408
Total Pages : 246 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topology and Geometry of Biopolymers by : Erica Flapan

Download or read book Topology and Geometry of Biopolymers written by Erica Flapan and published by American Mathematical Soc.. This book was released on 2020-03-05 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the AMS Special Session on Topology of Biopolymers, held from April 21–22, 2018, at Northeastern University, Boston, MA. The papers cover recent results on the topology and geometry of DNA and protein knotting using techniques from knot theory, spatial graph theory, differential geometry, molecular simulations, and laboratory experimentation. They include current work on the following topics: the density and supercoiling of DNA minicircles; the dependence of DNA geometry on its amino acid sequence; random models of DNA knotting; topological models of DNA replication and recombination; theories of how and why proteins knot; topological and geometric approaches to identifying entanglements in proteins; and topological and geometric techniques to predict protein folding rates. All of the articles are written as surveys intended for a broad interdisciplinary audience with a minimum of prerequisites. In addition to being a useful reference for experts, this book also provides an excellent introduction to the fast-moving field of topology and geometry of biopolymers.

Horizons of Fractal Geometry and Complex Dimensions

Author : Robert G. Niemeyer
Publisher : American Mathematical Soc.
ISBN 13 : 1470435810
Total Pages : 302 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Horizons of Fractal Geometry and Complex Dimensions by : Robert G. Niemeyer

Download or read book Horizons of Fractal Geometry and Complex Dimensions written by Robert G. Niemeyer and published by American Mathematical Soc.. This book was released on 2019-06-26 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday, held from June 21–29, 2016, at California Polytechnic State University, San Luis Obispo, California. The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).

Contributions in Algebra and Algebraic Geometry

Author : Shrikrishna G. Dani
Publisher : American Mathematical Soc.
ISBN 13 : 1470447355
Total Pages : 147 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Contributions in Algebra and Algebraic Geometry by : Shrikrishna G. Dani

Download or read book Contributions in Algebra and Algebraic Geometry written by Shrikrishna G. Dani and published by American Mathematical Soc.. This book was released on 2019-10-07 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9–11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modules, representations of linear, symmetric groups and Lie algebras, the algebra of generic matrices and almost injective modules.