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20142026
most citedFinite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model

84 citations

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Showing 2022 · math.PRShow all

9 papers · 2 filters

math.PR2022

Convex ordering for stochastic Volterra equations and their Euler schemes

Benjamin Jourdain, Gilles Pagès

In this paper, we are interested in comparing solutions to stochastic Volterra equations for the convex order on the space of continuous -valued paths and for the monotonic c…

math.PR2022★ 3 cited

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…

math.PR2022

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…

math.PR2022

Does a portion of dimer configuration determines its domain of definition?

Antoine Bannier, Benoit Laslier

Critical models are, almost by definition, supposed to feature both slow decay of correlations for local observables while retaining some mixing even for macroscopic observables. A…

math.PR2022

Limit of the environment viewed from Sinaï's walk

Francis Comets, Oleg Loukianov, Dasha Loukianova

For Sinaï's walk (X_k) we show that the empirical measure of the environment seen from the particle (\bar\w_k) converges in law to some random measure S. This limit measure is expl…

math.PR2022

Harmonic functions for singular quadrant walks

Viet Hung Hoang, Kilian Raschel, Pierre Tarrago

We consider discrete (time and space) random walks confined to the quarter plane, with jumps only in directions with and small negative jumps, i.e., $i,j \geq…