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82 papers · 1 filter
Phase transition for finite-speed detection among moving particles
Vladas Sidoravicius, Alexandre Stauffer
Consider the model where particles are initially distributed on , according to a Poisson point process of intensity , and are moving in continuous ti…
Coalgebraic Logic Programming: from Semantics to Implementation
Ekaterina Komendantskaya, John Power, Martin Schmidt
Coinductive definitions, such as that of an infinite stream, may often be described by elegant logic programs, but ones for which SLD-refutation is of no value as SLD-derivations f…
The Swift-Hohenberg equation with a nonlocal nonlinearity
David Morgan, Jonathan H. P. Dawes
It is well known that aspects of the formation of localised states in a one-dimensional Swift--Hohenberg equation can be described by Ginzburg--Landau-type envelope equations. This…
Mixed Finite Element Analysis of Lognormal Diffusion and Multilevel Monte Carlo Methods
Ivan G. Graham, Robert Scheichl, Elisabeth Ullmann
This work is motivated by the need to develop efficient tools for uncertainty quantification in subsurface flows associated with radioactive waste disposal studies. We consider sin…
Potentials of stable processes
A. E. Kyprianou, A. R. Watson
For a stable process, we give an explicit formula for the potential measure of the process killed outside a bounded interval and the joint law of the overshoot, undershoot and unde…
Investigating amorphous order in stable glasses by random pinning
Christopher J. Fullerton, Robert L. Jack
We use a random pinning procedure to investigate stable glassy states associated with large deviations of the activity in a model glass-former. We pin particles both from active (e…