CORDIS Project
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This project investigates the behavior of partial differential equations influenced by randomness, focusing on dispersive equations. It aims to develop new mathematical methods to address critical challenges in the field, enhancing our understanding of quantum field theory and stochastic processes.
This proposal is concerned with the study of the dynamics of partial differential equations (PDEs), broadly interpreted, in the presence of randomness, with a particular focus on dispersive equations.
This is a young but promising emerging field, and it has deep connections with the more established field of constructive quantum field theory.
In recent years, we have witnessed outstanding advances in the theory of singular stochastic parabolic PDEs, and while several breakthroughs have been obta…
THE UNIVERSITY OF EDINBURGH
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