24 citations · 80 across the 13 of their papers we have counts for
3 papers · 1 filter
Large deviation estimates for exceedance times of perpetuity sequences and their dual processes
Dariusz Buraczewski, Jeffrey F. Collamore, Ewa Damek +1
In a variety of problems in pure and applied probability, it is of relevant to study the large exceedance probabilities of the perpetuity sequence $Y_n := B_1 + A_1 B_2 + \cdots +…
Local criteria for blowup in two-dimensional chemotaxis models
Piotr Biler, Tomasz Cieślak, Grzegorz Karch +1
We consider two-dimensional versions of the Keller--Segel model for the chemotaxis with either classical (Brownian) or fractional (anomalous) diffusion. Criteria for blowup of solu…
Optimal criteria for blowup of radial and -symmetric solutions of chemotaxis systems
Piotr Biler, Grzegorz Karch, Jacek Zienkiewicz
A simple proof of concentration of mass equal to for blowing up -symmetric solutions of the Keller--Segel model of chemotaxis in two dimensions with large is given. Mor…