Pluripotential theory and convex bodies: large deviation principle

Bayraktar, Turgay and Bloom, Thomas and Levenberg, Norm and Lu, Chinh H. (2019) Pluripotential theory and convex bodies: large deviation principle. (Accepted/In Press)

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Abstract

We continue the study in [2] in the setting of weighted pluripotential theory arising from polynomials associated to a convex body P in (R^+)^d. Our goal is to establish a large deviation principle in this setting specifying the rate function in terms of P-pluripotential-theoretic notions. As an important preliminary step, we first give an existence proof for the solution of a Monge-Amp\`ere equation in an appropriate finite energy class. This is achieved using a variational approach.
Item Type: Article
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Turgay Bayraktar
Date Deposited: 04 Aug 2019 22:56
Last Modified: 26 Apr 2022 10:06
URI: https://research.sabanciuniv.edu/id/eprint/37431

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