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Equivalence of Fluctuations Between SHE and KPZ Equation in Weak Disorder Regime

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Mathematical Physics Courses Dimensional Analysis Courses Statistical Physics Courses Non-equilibrium systems Courses

Course Description

Overview

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Explore the connection between the stochastic heat equation (SHE) and the Kardar-Parisi-Zhang (KPZ) equation in this 50-minute lecture by Shuta Nakajima from Meiji University. Delve into the challenges of constructing solutions to the KPZ equation, a fundamental model in non-equilibrium statistical physics that describes the random evolution of interfaces. Learn about the rigorous demonstration of the equivalence of fluctuations between SHE and KPZ equation in the weak disorder regime for three and higher dimensions. Gain insights into this enduring open problem, particularly in finding solutions in two and higher dimensions. The lecture, presented at the Institut des Hautes Etudes Scientifiques (IHES), is based on joint work with Stefan Junk from Gakushuin University.

Syllabus

Shuta Nakajima - Equivalence of Fluctuations Between SHE and KPZ Equation in Weak Disorder Regime


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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