Spectral Measures and Dynamics: Typical Behaviors, 9783031382888
Hardcover
Uncover hidden dimensions: generic spectral behaviors shaping quantum dynamics and beyond.

Spectral Measures and Dynamics: Typical Behaviors

$380.18

  • Hardcover

    246 pages

  • Release Date

    28 October 2023

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Summary

Unveiling Spectral Measures: Dynamics and Typical Behaviors

This book consolidates and expands upon generic results concerning spectral measures, previously dispersed throughout various publications. Beginning with foundational concepts such as the Wiener lemma, Strichartz inequality, and the fundamentals of fractal dimensions of measures, it progresses to more sophisticated material, including research developed by the authors themselves.

The spectral measure, a core concep…

Book Details

ISBN-13:9783031382888
ISBN-10:3031382889
Series:Latin American Mathematics Series
Author:Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
Publisher:Springer International Publishing AG
Imprint:Springer International Publishing AG
Format:Hardcover
Number of Pages:246
Edition:2023rd
Release Date:28 October 2023
Weight:559g
Dimensions:235mm x 155mm
About The Author

Moacir Aloisio

Moacir Aloisio is an Adjunct Professor at the Math department of the Federal University of Jequitinhonha and Mucuri Valleys, Brazil. He earned his PhD in mathematics from the Federal University of Minas Gerais, Brazil, in 2019. His research interests lie in Operator Theory, Mathematical Physics, and Dynamical Systems. Some allied areas include Schrödinger and Dirac operators, quantum (in)stability, dynamic localization, abstract differential equations and operator algebras.

Silas L. Carvalho has earned his PhD in Physics at the University of São Paulo, Brazil, in 2010. From 2011 to 2013, he was an Adjunct Professor at the Federal University of São Paulo. Since then, Dr. Carvalho has been serving as an Adjunct Professor at the Math department of the Federal University of Minas Gerais. He develops research in Mathematical Physics, Ergodic Theory and Dynamical Systems, mainly in problems that involve fractal dimensions and measures. Some allied areas include Schrödinger and Dirac operators, quantum dynamics, and stability problems involving \(C_0\)-semigroups.

César R. de Oliveira is a Full Professor at the Math department of the Federal University of São Carlos, Brazil. His field of research is Mathematical Physics; more specifically, spectral theory of Schrödinger operators, the Aharonov-Bohm effect, and effective operators in systems with reduction of dimensions. He has spent extended research visits at the University of British Columbia, Canada, and Milan University, Italy. Dr. Oliveira has authored three books, including “Intermediate Spectral Theory and Quantum Dynamics” (Birkhäuser, 2009, ISBN 978-3-7643-8794-5).

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