SubsidieMeestersStochastic PDEs and Renormalisation
This project aims to advance the study of singular SPDEs by exploring Gibbs measures, developing quasilinear renormalisation, and improving approximation methods for enhanced convergence.
Projectdetails
Introduction
The field of stochastic partial differential equations (SPDEs) has been revolutionised in the last decade by breakthrough works of Hairer, Gubinelli-Imkeller-Perkowski, and many others. A new understanding of renormalised solution theories emerged, solving long-standing singular equations arising in various areas of probability and mathematical physics.
Project Purpose
The purpose of this project is to study a number of important questions in the field, open new directions, and challenge central open problems:
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Launch the investigation of singular SPDEs that preserve Gibbs measures of distributional Hamiltonians such as the density of self-repellent polymers.
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Tackle the question of a quasilinear renormalisation formula, the last remaining component of the quasilinear solution theory.
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Develop an efficient quantitative approximation theory of singular SPDEs, removing the criticality barrier from the rate of convergence.
Financiële details & Tijdlijn
Financiële details
| Subsidiebedrag | € 1.498.849 |
| Totale projectbegroting | € 1.498.849 |
Tijdlijn
| Startdatum | 1-3-2024 |
| Einddatum | 28-2-2029 |
| Subsidiejaar | 2024 |
Partners & Locaties
Projectpartners
- TECHNISCHE UNIVERSITAET WIENpenvoerder
Land(en)
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