43 citations · 57 across the 10 of their papers we have counts for
12 papers · 1 filter
Structural results for the Tree Builder Random Walk
Janos Engländer, Giulio Iacobelli, Gábor Pete +1
We study the Tree Builder Random Walk: a randomly growing tree, built by a walker as she is walking around the tree. Namely, at each time , she adds a leaf to her current vertex…
The spine of two-particle Fleming-Viot process in a bounded interval
Krzysztof Burdzy, János Engländer, Donald E. Marshall
We show that the spine of the Fleming-Viot process driven by Brownian motion and starting with two particles in a bounded interval has a different law from that of Brownian motion…
Conservative Random Walk
Janos Englander, Stanislav Volkov
Recently, in ["The coin-turning walk and its scaling limit", Electronic Journal of Probability, 25 (2020)], the ``coin-turning walk'' was introduced on . It is a non-M…
The Spine of the Fleming-Viot process driven by Brownian motion
Krzysztof Burdzy, János Engländer
We show that the spine of the Fleming-Viot process driven by Brownian motion in a bounded Lipschitz domain with Lipschitz constant less than 1 converges to Brownian motion conditio…
Recurrence, transience and degree distribution for the Tree Builder Random Walk
János Engländer, Giulio Iacobelli, Rodrigo Ribeiro
We investigate a self-interacting random walk, whose dynamically evolving environment is a random tree built by the walker itself, as it walks around. At time , right…
Impatient random walk
Janos Englander, Stanislav Volkov
We introduce a new type of random walk where the definition of edge reinforcement is very different from the one in the reinforced random walk models studied so far, and investigat…
Branching diffusion with interactions
Janos Englander, Liang Zhang
A -dimensional branching diffusion, , is investigated, where the linear attraction or repulsion between particles is competing with an Ornstein-Uhlenbeck drift, with paramete…
Turning a coin over instead of tossing it
Janos Englander, Stanislav Volkov
Given a sequence of numbers in , consider the following experiment. First, we flip a fair coin and then, at step , we turn the coin over to the other side with…
Weak extinction versus global exponential growth of total mass for superdiffusions
Janos Englander, Yan-Xia Ren, Renming Song
Consider a superdiffusion on corresponding to the semilinear operator where is a second order elliptic operator, is in…
Critical branching random walk in an IID environment
Janos Englander, Nandor Sieben
Using a high performance computer cluster, we run simulations regarding an open problem about d-dimensional critical branching random walks in a random IID environment The environm…
The compact support property for measure-valued processes
Janos Englander, Ross G. Pinsky
The purpose of this article is to give a rather thorough understanding of the compact support property for measure-valued processes corresponding to semi-linear equations of the fo…
Law of Large Numbers for a Class of Superdiffusions
J. Englander, A. Winter
Under spectral conditions, we prove a LLN type result for superdiffusions, where the convergence is meant in probability. The main tool is a space-time H-transformation.