2.9k citations
- Centre National de la Recherche ScientifiqueFR147 papers
- University of OxfordGB114 papers
- University of CambridgeGB88 papers
- Max Planck Institute for Extraterrestrial PhysicsDE84 papers
- University of BristolGB80 papers
- University College LondonGB78 papers
- Center for Astrophysics Harvard & SmithsonianUS72 papers
- Space Telescope Science InstituteUS72 papers
- National Institute for AstrophysicsIT71 papers
- University of EdinburghGB69 papers
- University of WarwickGB69 papers
- University of CopenhagenDK63 papers
15 papers · 2 filters
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…
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…
Connectivity of soft random geometric graphs
Mathew D. Penrose
Consider a graph on uniform random points in the unit square, each pair being connected by an edge with probability if the inter-point distance is at most . We show that…
The extended hypergeometric class of Lévy processes
A. E. Kyprianou, J. C. Pardo, A. R. Watson
With a view to computing fluctuation identities related to stable processes, we review and extend the class of hypergeometric Lévy processes explored in Kuznetsov and Pardo (arXiv:…
Balls into bins via local search: cover time and maximum load
Karl Bringmann, Thomas Sauerwald, Alexandre Stauffer +1
We study a natural process for allocating m balls into n bins that are organized as the vertices of an undirected graph G. Balls arrive one at a time. When a ball arrives, it first…
Spines, skeletons and the Strong Law of Large Numbers for superdiffusions
Maren Eckhoff, Andreas E. Kyprianou, Matthias Winkel
Consider a supercritical superdiffusion (X_t) on a domain D subset R^d with branching mechanism -β(x) z+α(x) z^2 + int_{(0,infty)} (e^{-yz}-1+yz) Pi(x,dy). The skeleton decompositi…