CORDIS Project
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This project investigates the connections between integrable many-body systems and various mathematical fields, including differential equations and probability theory. It aims to develop new insights into these systems and their applications in understanding complex mathematical phenomena.
The project focuses on the relation between integrable many-body systems and three important fields of mathematics: partial differential equations, Painlev equations, and probability theory.
The goal is to build new connections in this context by considering recent results as follows.
The first objective consists in explaining how a class of integrable many-body systems that appeared over the last 5 years can be used to parametrise specific solutions to hierarchies of partial differe…
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