From the 1 of 5.5k papers with an AI index.
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26 papers · 2 filters
Stochastic Chemical Kinetics with Energy Parameters
Guy Fayolle, Vadim Malyshev, Serguei Pirogov
Abstact: We introduce new models of energy redistribution in stochastic chemical kinetics with several molecule types and energy parameters. The main results concern the situations…
The diameter of weighted random graphs
Hamed Amini, Marc Lelarge
In this paper we study the impact of random exponential edge weights on the distances in a random graph and, in particular, on its diameter. Our main result consists of a precise a…
Clustering and percolation of point processes
Bartlomiej Blaszczyszyn, D. Yogeshwaran
We are interested in phase transitions in certain percolation models on point processes and their dependence on clustering properties of the point processes. We show that point pro…
Approximation of the Fokker-Planck equation of the stochastic chemostat
Fabien Campillo, Marc Joannides, Irène Larramendy-Valverde
We consider a stochastic model of the two-dimensional chemostat as a diffusion process for the concentration of substrate and the concentration of biomass. The model allows for the…
About Fokker-Planck equation with measurable coefficients and applications to the fast diffusion equation
Nadia Belaribi, Francesco Russo
The object of this paper is the uniqueness for a -dimensional Fokker-Planck type equation with non-homogeneous (possibly degenerated) measurable not necessarily bounded coeffici…
On comparison of clustering properties of point processes
Bartlomiej Blaszczyszyn, D. Yogeshwaran
In this paper, we propose a new comparison tool for spatial homogeneity of point processes, based on the joint examination of void probabilities and factorial moment measures. We p…