116 citations · 201 across the 11 of their papers we have counts for
14 papers
On a two-parameter Yule-Simon distribution
Erich Baur, Jean Bertoin
We extend the classical one-parameter Yule-Simon law to a version depending on two parameters, which in part appeared in Bertoin [2019] in the context of a preferential attachment…
On a class of random walks with reinforced memory
Erich Baur
This paper deals with different models of random walks with a reinforced memory of preferential attachment type. We consider extensions of the Elephant Random Walk introduced by Sc…
Uniform infinite half-planar quadrangulations with skewness
Erich Baur, Loïc Richier
We introduce a one-parameter family of random infinite quadrangulations of the half-plane, which we call the uniform infinite half-planar quadrangulations with skewness (UIHPQ…
Classification of scaling limits of uniform quadrangulations with a boundary
Erich Baur, Grégory Miermont, Gourab Ray
We study non-compact scaling limits of uniform random planar quadrangulations with a boundary when their size tends to infinity. Depending on the asymptotic behavior of the boundar…
Elephant Random Walks and their connection to Pólya-type urns
Erich Baur, Jean Bertoin
In this paper, we explain the connection between the Elephant Random Walk (ERW) and an urn model à la Pólya and derive functional limit theorems for the former. The ERW model was i…
Geodesic rays in the uniform infinite half-planar quadrangulation return to the boundary
Erich Baur, Grégory Miermont, Loïc Richier
We show that all geodesic rays in the uniform infinite half-planar quadrangulation (UIHPQ) intersect the boundary infinitely many times, answering thereby a recent question of Curi…
Weak limits for the largest subpopulations in Yule processes with high mutation probabilities
Erich Baur, Jean Bertoin
We consider a Yule process until the total population reaches size , and assume that neutral mutations occur with high probability (in the sense that each child is a…
The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes
Erich Baur, Jean Bertoin
We consider a natural destruction process of an infinite recursive tree by removing each edge after an independent exponential time. The destruction up to time t is encoded by a pa…
An invariance principle for a class of non-ballistic random walks in random environment
Erich Baur
We are concerned with random walks on , , in an i.i.d. random environment with transition probabilities -close to those of simple random walk. We assume t…
Percolation on random recursive trees
Erich Baur
We study Bernoulli bond percolation on a random recursive tree of size with percolation parameter converging to as tends to infinity. The sizes of the percolatio…
Cutting edges at random in large recursive trees
Erich Baur, Jean Bertoin
We comment on old and new results related to the destruction of a random recursive tree (RRT), in which its edges are cut one after the other in a uniform random order. In particul…
Long-time Behavior of Random Walks in Random Environment
Erich Baur
We study behavior in space and time of random walks in an i.i.d. random environment on Z^d, d>=3. It is assumed that the measure governing the environment is isotropic and concentr…
Exit laws from large balls of (an)isotropic random walks in random environment
Erich Baur, Erwin Bolthausen
We study exit laws from large balls in , , of random walks in an i.i.d. random environment that is a small perturbation of the environment corresponding to si…
On a ternary coalescent process
Erich Baur
We present a coalescent process where three particles merge at each coagulation step. Using a random walk representation, we prove duality with a fragmentation process, whose fragm…