23 citations · 45 across the 12 of their papers we have counts for
14 papers
Tóth's buses and the "detachment process''
János Engländer
This paper introduces the \textbf{detachment process}, a novel, time-inhomogeneous Markov process inspired by I. P. Tóth's problem \cite{Toth} concerning the number of ``lonely pas…
A moment approach to the law of large numbers for supercritical branching Markov processes
Christopher B. C. Dean, János Engländer, Emma Horton
We offer a new proof of the classical law of large numbers for a general class of branching Markov processes based on the asymptotic behaviour of the moments developed in \cite{bmo…
The coin-turning walk and its scaling limit
Janos Englander, Stanislav Volkov, Zhenhua Wang
Let be the random walk obtained from "coin turning" with some sequence , as introduced in [6]. In this paper we investigate the scaling limits of in the s…
A Doob-type maximal inequality and its applications to various stochastic processes
János Engländer
We generalize the notion of the submartingale property and Doob's inequality. Furthermore, we show how the latter leads to new inequalities for several stochastic processes: certai…
Optimal survival strategy for branching Brownian motion in a Poissonian trap field
Mehmet Öz, János Engländer
We study a branching Brownian motion with a generic branching law, evolving in , where a field of Poissonian traps is present. Each trap is a ball with constant r…
Superdiffusions with large mass creation --- construction and growth estimates
Zhen-Qing Chen, Janos Englander
Superdiffusions corresponding to differential operators of the form $\LL u+βu-αu^{2}$ with large mass creation term are studied. Our construction for superdiffusions with large…