Deep Hilbert--Galerkin Methods for Infinite-Dimensional PDEs and Optimal Control
Cohen, S
Feo, F
Hebner, J
Sirignano, J
(19 Mar 2026)
https://arxiv.org/abs/2603.19463v1
The Exponentially Weighted Signature
Bloch, A
Cohen, S
Lyons, T
Mouterde, J
Walker, B
(19 Mar 2026)
https://arxiv.org/abs/2603.19198v1
A Game-Theoretic Unital Classification Theorem for $C^*$-Algebras
Pi, J
Szachniewicz, M
Tartarotti, M
(05 Jan 2026)
https://arxiv.org/abs/2601.01735v2
The title of this Oxford Mathematics Roger Penrose Public Lecture by Graham Farmelo is the same as the one that Stephen Hawking chose for his Lucasian Inaugural Lecture in April 1980. Graham Farmelo's authorised biography of Stephen Hawking has just been published.
$p$-adic Maass--Shimura operators on $μ$-ordinary Igusa varieties
Graham, A
Hoften, P
Howe, S
(08 Jul 2026)
https://arxiv.org/abs/2607.07427v1
The non-abelian Leopoldt conjecture and equalities of $\mathcal{L}$-invariants
Salazar, D
Graham, A
Williams, C
(19 Mar 2026)
https://arxiv.org/abs/2603.18961v2
Mon, 30 Nov 2026
16:30 -
17:30
L4
Mon, 19 Oct 2026
15:30 -
16:30
L3
Strong and weak approximation of the Lévy-driven stochastic heat equation on the sphere
Verena Schwarz
((Mathematical Institute University of Oxford))
Abstract
In this talk, we study the numerical approximation of the stochastic heat equation on the sphere driven by an additive Lévy process. For this, we first prove new regularity results for the solution of the stochastic heat equation under different regularity assumptions on the initial value and driving Lévy process. In these settings, we perform a spectral approximation based on the truncation of the series expansion with respect to the real-valued spherical harmonic functions. Further, we apply a forward resp. backward Euler-Maruyama scheme for the temporal approximation. We prove strong and weak convergence rates for the introduced approximation scheme and present numerical simulations that confirm our theoretical results.
This is joint work with Annika Lang and Andrea Papini.
Deriving Complete Constraints in Hidden Variable Models
Sachs, M
Gabriel, E
Evans, R
Sjölander, A
(16 Jan 2026)
https://arxiv.org/abs/2601.11242v3