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Analytic Trends in Mathematical Physics (Paperback)
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Analytic Trends in Mathematical Physics (Paperback)
Series: Contemporary Mathematics
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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, 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 $D$-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 Schrodinger 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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