3 citations · 5 across the 7 of their papers we have counts for
7 papers
Pathwise Global-in-Time Existence for the generalised KPZ Equation in the Full Subcritical Regime
Jonas Sauer, Rhys Steele
We provide a pathwise proof of global-in-time well-posedness for the generalised KPZ equation in the full subcritical regime by an adaptation of the strategy recently applied to th…
The Sharp Rate of Probabilistically Strong Convergence to the KPZ Equation
Máté Gerencsér, Yueh-Sheng Hsu, Rhys Steele
One of the most common descriptions of solutions of singular SPDEs is their characterisation as the limit of solutions of renormalised smooth random PDEs. We quantify the speed of…
Renormalised Models for Variable Coefficient Singular SPDEs
Lucas Broux, Harprit Singh, Rhys Steele
In this work we prove convergence of renormalised models in the framework of regularity structures [Hai14] for a wide class of variable coefficient singular SPDEs in their full sub…
Multi-index Based Solution Theory to the Equation in the Full Subcritical Regime
Lucas Broux, Felix Otto, Rhys Steele
We obtain (small-parameter) well-posedness for the (space-time periodic) equation in the full subcritical regime in the context of regularity structures based on multi-indice…
The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality
Martin Hairer, Rhys Steele
We provide a relatively compact proof of the BPHZ theorem for regularity structures of decorated trees in the case where the driving noise satisfies a suitable spectral gap propert…
The measure has sub-Gaussian tails
Martin Hairer, Rhys Steele
We provide a very simple argument showing that the measure does have quartic exponential tails, as expected from its formal expression. This shows that the corresponding mo…
Non-optimality of the Greedy Algorithm for subspace orderings in the method of alternating projections
Oscar Darwin, Aashraya Jha, Souktik Roy +3
The method of alternating projections involves projecting an element of a Hilbert space cyclically onto a collection of closed subspaces. It is known that the resulting sequence al…