The parabolic Anderson model on Riemann surfaces

Dahlqvist, Antoine, Diehl, Joscha and Driver, Bruce K (2019) The parabolic Anderson model on Riemann surfaces. Probability Theory and Related Fields, 174 (1-2). pp. 369-444. ISSN 0178-8051

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Abstract

We show well-posedness for the parabolic Anderson model on 2-dimensional closed Riemannian manifolds. To this end we extend the notion of regularity structures to curved space, and explicitly construct the minimal structure required for this equation. A central ingredient is the appropriate re-interpretation of the polynomial model, which we build up to any order.

Item Type: Article
Keywords: Regularity structures, Two dimensional manifolds, Parabolic Anderson model
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Antoine Dahlqvist
Date Deposited: 25 Mar 2019 14:55
Last Modified: 05 Jul 2019 14:30
URI: http://sro.sussex.ac.uk/id/eprint/82486

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