183 citations · 543 across the 20 of their papers we have counts for
20 papers
The first positive position of a lattice random walk
Claude Godrèche, Jean-Marc Luck
The distribution of the first positive position reached by a random walker starting at the origin is central to the analysis of extremes and records in one-dimensional random walks…
New insights into the distribution of the topmost gap in random walks and Lévy flights
Claude Godrèche, Jean-Marc Luck
Building upon the knowledge of the distribution of the first positive position reached by a random walker starting from the origin, one can derive new results on the statistics of…
On the first positive position of a random walker
Claude Godrèche, Jean-Marc Luck
The distribution of the first positive position reached by a random walker starting from the origin is fundamental for understanding the statistics of extremes and records in one-d…
On sequences of convex records in the plane
Claude Godrèche, Jean-Marc Luck
Convex records have an appealing purely geometric definition. In a sequence of -dimensional data points, the -th point is a convex record if it lies outside the convex hull o…
Returns to the origin of the Pólya walk with stochastic resetting
Claude Godrèche, Jean-Marc Luck
We consider the simple random walk (or Pólya walk) on the one-dimensional lattice subject to stochastic resetting to the origin with probability at each time step. The focus is…
Replicating a renewal process at random times
Claude Godrèche, Jean-Marc Luck
We replicate a renewal process at random times, which is equivalent to nesting two renewal processes, or considering a renewal process subject to stochastic resetting. We investiga…