3 papers
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2025
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…