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5 papers · 2 filters
Speed of convergence of time Euler schemes for a stochastic 2D Boussinesq model
Hakima Bessaih, Annie Millet
We prove that an implicit time Euler scheme for the 2D-Boussinesq model on the torus converges. Various moment of the -norms of the velocity and temperature, as well a…
Limit laws in the lattice problem. V. The case of analytic and stricly convex sets
Julien Trevisan
We study the error of the number of points of a unimodular lattice that fall in a strictly convex and analytic set having the origin and that is dilated by a factor . The aim is…
Marches aléatoires dans un cône et fonctions discrètes harmoniques
Kilian Raschel, Pierre Tarrago
Random walks in cones have the double interest of being at the heart of many probabilistic problems and of being related to many mathematical fields, such as spectral theory, combi…
Limit laws in the lattice problem. III. Return to the case of boxes
Julien Trevisan
We study the error of the number of points of a lattice that belong to a rectangle, centred at , whose axes are parallel to the coordinate axes, dilated by a factor and…
Slow-fast dynamics in stochastic Lotka-Volterra systems
Julien Barré, Bastien Fernandez, Grégoire Panel
We investigate the large population dynamics of a family of stochastic particle systems with three-state cyclic individual behaviour and parameter-dependent transition rates. On sh…