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The parabolic Anderson model on Riemann surfaces

journal contribution
posted on 2023-06-09, 17:13 authored by Antoine DahlqvistAntoine Dahlqvist, Joscha Diehl, Bruce K Driver
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Probability Theory and Related Fields

ISSN

0178-8051

Publisher

Springer Verlag

Issue

1-2

Volume

174

Page range

369-444

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2019-03-25

First Open Access (FOA) Date

2019-03-25

First Compliant Deposit (FCD) Date

2019-03-25

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