output
19982026
most citedComputational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

398 citations

Showing 2024 · math.PRShow all

11 papers · 2 filters

math.PR2024

Drawdowns of diffusions

Paavo Salminen, Pierre Vallois

In this paper we give excursion theoretical proofs of Lehoczky's formula (in an extended form allowing a lower bound for the underlying diffusion) for the joint distribution of the…

math.PR2024

On the number of crossings and bouncings of a diffusion at a sticky threshold

Alexis Anagnostakis, Sara Mazzonetto

In this paper, we study the asymptotic behavior of the number of crossings by a one-dimensional diffusion of a threshold where the process exhibits stickiness. We distinguish three…

math.PR2024

Large graph limits of local matching algorithms on Configuration model graphs

Mohamed Habib Aliou Diallo Aoudi, Pascal Moyal, Vincent Robin

In this work, we propose a large-graph limit estimate of the matching coverage for several matching algorithms, on general graphs generated by the configuration model. For a wide c…

math.PR2024

Quasi-stationary distribution for kinetic SDEs with low regularity coefficients

Nicolas Champagnat, Tony Lelièvre, Mouad Ramil +2

We consider kinetic SDEs with low regularity coefficients in the setting recently introduced in [6]. For the solutions to such equations, we first prove a Harnack inequality. Using…

math.PR2024

Symmetries for the gKPZ equation via multi-indices

Carlo Bellingeri, Yvain Bruned

In this work, we study the two main symmetries for the one-dimensional generalised KPZ equation (gKPZ): the chain rule and the Itô Isometry. We consider the equation in the full-su…

math.PR2024

On the separation cut-off phenomenon for Brownian motions on high dimensional rotationally symmetric compact manifolds

Koléhè Coulibaly-Pasquier, Marc Arnaudon, Laurent Miclo

Given a family of rotationally symmetric compact manifolds indexed by the dimension and a weight function, the goal of this paper is to investigate the cut-off phenomenon for the B…