Analytic Trends in Mathematical Physics

Released on by Houssam Abdul-Rahman
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  • Analytic Trends in Mathematical Physics Book Detail

  • Author : Houssam Abdul-Rahman
  • Release Date : 2020-01-06
  • Publisher : American Mathematical Soc.
  • Genre : Education
  • Pages : 206
  • ISBN 13 : 1470448416
  • File Size : 19,19 MB
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Analytic Trends in Mathematical Physics by Houssam Abdul-Rahman PDF Summary

Book Description: 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.

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Analytic Trends in Mathematical Physics

Analytic Trends in Mathematical Physics

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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, Tucs

Analysis and Mathematical Physics

Analysis and Mathematical Physics

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Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such a