output
20022026
most citedGenealogical particle analysis of rare events

144 citations

Showing 2021 · math.APShow all

16 papers · 2 filters

math.AP2021

Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system

Alexis Leculier, Pierre Roux

Following previous works about integro-differential equations of parabolic type modelling the Darwinian evolution of a population, we study a two-population system in the cooperati…

math.AP2021

Local and global well-posedness of one-dimensional free-congested equations

Anne-Laure Dalibard, Charlotte Perrin

This paper is dedicated to the study of a one-dimensional congestion model, consisting of two different phases. In the congested phase, the pressure is free and the dynamics is inc…

math.AP2021★ 2 cited

On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities

Jean-Michel Coron, Shengquan Xiang, Ping Zhang

In this paper, we study, in the semiclassical sense, the global approximate controllability in small time of the quantum density and quantum momentum of the 1-D semiclassical cubic…

math.AP2021

On the quadratic random matching problem in two-dimensional domains

Luigi Ambrosio, Michael Goldman, Dario Trevisan

We investigate the average minimum cost of a bipartite matching, with respect to the squared Euclidean distance, between two samples of n i.i.d. random points on a bounded Lipschit…

math.AP2021★ 2 cited

Diffusion limit of the Vlasov equation in the weak turbulent regime

Claude Bardos, Nicolas Besse

In this paper we study the Hamiltonian dynamics of charged particles subject to a non-self-consistent stochastic electric field, when the plasma is in the so-called weak turbulent…

math.AP2021★ 1 cited

Traveling waves for the porous medium equation in the incompressible limit: asymptotic behavior and nonlinear stability

Anne-Laure Dalibard, Gabriela Lopez-Ruiz, Charlotte Perrin

In this study, we analyze the behavior of monotone traveling waves of a one-dimensional porous medium equation modeling mechanical properties of living tissues. We are interested i…