KPZ Scaling Theory and the Semi-discrete Directed Polymer Model
Herbert Spohn
TL;DR
This paper discusses how recent mathematical proofs confirm the KPZ scaling theory by analyzing the asymptotic behavior of the semi-discrete directed polymer model.
Contribution
It connects the KPZ scaling theory with rigorous proofs for the semi-discrete directed polymer, validating the theoretical predictions.
Findings
Confirmation of KPZ scaling predictions
Rigorous asymptotic analysis of the semi-discrete polymer
Validation of theoretical claims through recent proof
Abstract
We explain how the claims of the KPZ scaling theory are confirmed by a recent proof of Borodin and Corwin on the asymptotics of the semi-discrete directed polymer.
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Taxonomy
TopicsRandom Matrices and Applications · Theoretical and Computational Physics · Stochastic processes and statistical mechanics