Optimal Initialization in Depth: Lyapunov Initialization and Limit Theorems for Deep Leaky ReLU Networks
Kogler, C Schwarz, T Kittle, S (11 Feb 2026) https://arxiv.org/abs/2602.10949v2
Milestoning Markov-jump dynamics: Stationary properties, thermodynamic consistency, kinetic hysteresis, and fluctuation symmetries
Schwarz, T Hartich, D Godec, A (15 Jun 2026) https://arxiv.org/abs/2606.17033v1
Digital quantum simulation of Schrödinger dynamics using adaptive approximations of potential functions
Araki, T Stokes, J Veerapaneni, S (09 Dec 2022) https://arxiv.org/abs/2212.04942v1
Speed and stability of segregated waves in a pressure-based model of heterogeneous cell populations
Falcó, C Crossley, R Conte, M Lorenzi, T (08 Sep 2026) https://arxiv.org/abs/2609.09043v2

Graham Farmelo's authorised biography of Stephen Hawking has just been published. The title of this Oxford Mathematics Roger Penrose Public Lecture is the same as the one that Hawking chose for his Lucasian Inaugural Lecture in April 1980. Graham will look at the genesis of his presentation, the splash it made and how views on the subject changed in later decades.

Graham Farmelo is a biographer and science writer. He has written an acclaimed biography of Paul Dirac as well as his biography of Stephen Hawking.

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
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