258 citations
- Laboratoire Angevin de Recherche en MathématiquesFR198 papers
- Centre National de la Recherche ScientifiqueFR127 papers
- Institut des Sciences et Technologies Moléculaires d'AngersFR31 papers
- Sorbonne UniversitéFR17 papers
- Wrocław University of Science and TechnologyPL17 papers
- Institut de Mathématiques de ToulouseFR13 papers
- Institute for Theoretical and Experimental PhysicsRU12 papers
- Université Paris-SaclayFR12 papers
- Université Toulouse III - Paul SabatierFR12 papers
- Horia Hulubei National Institute for R and D in Physics and Nuclear EngineeringRO10 papers
- Institut d'électronique de microélectronique et de nanotechnologieFR10 papers
- Université Nantes Angers Le MansFR10 papers
45 papers · 1 filter
Ratio limit theorem for renewal processes
Mikael Escobar-Bach, Alexandre Popier, Malo Sahin
We consider a renewal process which models a cumulative shock model that fails when the accumulation of shocks up-crosses a certain threshold. The ratio limit properties of the pro…
The limit shape of the Leaky Abelian Sandpile Model on isoradial graphs
Théo Ballu
We study the limit shape of the boundary of the leaky sandpile model on isoradial graphs. These graphs are equipped with conductances and masses introduced by Boutillier, de Tilièr…
Central limit theory for Peaks-over-Threshold partial sums of long memory linear time series
Ioan Scheffel, Marco Oesting, Gilles Stupfler
Over the last 30 years, extensive work has been devoted to developing central limit theory for partial sums of subordinated long memory linear time series. A much less studied prob…
Discrete harmonic polynomials in multidimensional orthants
Emmanuel Humbert, Kilian Raschel
We consider multidimensional random walks in pyramidal cones (or multidimensional orthants), which are intersections of a finite number of half-spaces. We explore the connection be…
Enumeration of walks in multidimensional orthants and reflection groups
Léa Gohier, Emmanuel Humbert, Kilian Raschel
We consider (random) walks in a multidimensional orthant. Using the idea of universality in probability theory, one can associate a unique polyhedral domain to any given walk model…
Random Walks in the High-Dimensional Limit II: The Crinkled Subordinator
Zakhar Kabluchko, Alexander Marynych, Kilian Raschel
A crinkled subordinator is an -valued random process which can be thought of as a version of the usual one-dimensional subordinator with each out of countably many jumps be…