EuDML | Browse

We consider the hexagonal circle packing with radius $1 / 2$ and perturb it by letting the circles move as independent Brownian motions for time $t$ . It is shown that, for large enough $t$ , if $𝛱_{t}$ is the point process given by the center of the circles at time $t$ , then, as $t \to \infty$ , the critical radius for circles centered at $𝛱_{t}$ to contain an infinite component converges to that of continuum percolation (which was shown – based on a Monte Carlo estimate – by Balister, Bollobás and Walters to be strictly bigger than...

Phase coexistence in Ising, Potts and percolation models

Raphaël Cerf, Ágoston Pisztora (2001)

Annales de l'I.H.P. Probabilités et statistiques

Phase diagram of the Potts model in an external magnetic field

Abderahim Bakchich, Abdelilah Benyoussef, Lahoussine Laanait (1989)

Annales de l'I.H.P. Physique théorique

Phase transition and Martin boundary

Hans Föllmer (1975)

Séminaire de probabilités de Strasbourg

Phase transition for the frog model.

Alves, Oswaldo, Machado, Fábio, Popov, Serguei (2002)

Electronic Journal of Probability [electronic only]

Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation

R. Rudnicki, R. Wieczorek (2010)

Mathematical Modelling of Natural Phenomena

We present models of the dynamics of phytoplankton aggregates. We start with an individual-based model in which aggregates can grow, divide, joint and move randomly. Passing to infinity with the number of individuals, we obtain a model which describes the space-size distribution of aggregates. The density distribution function satisfies a non-linear transport equation, which contains terms responsible for the growth of phytoplankton aggregates, their fragmentation, coagulation, and diffusion.

Poisson trees, succession lines and coalescing random walks

P. A. Ferrari, C. Landim, H. Thorisson (2004)

Annales de l'I.H.P. Probabilités et statistiques

Positively and negatively excited random walks on integers, with branching processes.

Kosygina, Elena, Zerner, Martin P.W. (2008)

Electronic Journal of Probability [electronic only]

Potential scattering in stochastic mechanics

E. A. Carlen (1985)

Annales de l'I.H.P. Physique théorique

Potential spaces on fractals

Jiaxin Hu, Martina Zähle (2005)

Studia Mathematica

We introduce potential spaces on fractal metric spaces, investigate their embedding theorems, and derive various Besov spaces. Our starting point is that there exists a local, stochastically complete heat kernel satisfying a two-sided estimate on the fractal considered.

Prime percolation.

Vardi, Ilan (1998)

Experimental Mathematics

Probability estimates for symmetric simple exclusion random walks

A. De Masi, E. Presutti (1983)

Annales de l'I.H.P. Probabilités et statistiques

Currently displaying 1 – 20 of 28

Page 1 Next