Thermodynamic expansion to arbitrary moduli
Jean Bourgain, Alex Kontorovich, Michael Magee
TL;DR
This paper generalizes thermodynamic expansion results to all moduli, not just square-free, by introducing a new decoupling method and leveraging existing techniques.
Contribution
It presents a novel decoupling technique that extends thermodynamic expansion results to arbitrary moduli, broadening previous limitations.
Findings
Extended thermodynamic expansion to all moduli.
Developed a new decoupling technique.
Built upon Bourgain-Varju's methods.
Abstract
We extend the thermodynamic expansion results in [BourgainGamburdSarnak2011, MageeOhWinter2015] from square-free to arbitrary moduli by developing a novel decoupling technique and applying [BourgainVarju2012].
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Taxonomy
TopicsMathematical Dynamics and Fractals · Theoretical and Computational Physics · Phase Equilibria and Thermodynamics