49 citations · 341 across the 24 of their papers we have counts for
25 papers
Schrödinger Equation Driven by the Square of a Gaussian Field: Instanton Analysis in the Large Amplification Limit
Philippe Mounaix
We study the tail of , the probability distribution of , for , being the solution to $\partial_zψ-\frac{i}{2m}\nabla_{\perp}^2 ψ=g\…
Record statistics for random walks and Lévy flights with resetting
Satya N. Majumdar, Philippe Mounaix, Sanjib Sabhapandit +1
We compute exactly the mean number of records for a time-series of size whose entries represent the positions of a discrete time random walker on the line…
Universal record statistics for random walks and Lévy flights with a nonzero staying probability
Satya N. Majumdar, Philippe Mounaix, Gregory Schehr
We compute exactly the statistics of the number of records in a discrete-time random walk model on a line where the walker stays at a given position with a nonzero probability $0\l…
Statistics of the Number of Records for Random Walks and Lévy Flights on a Lattice
Philippe Mounaix, Satya N. Majumdar, Gregory Schehr
We study the statistics of the number of records for a symmetric, -step, discrete jump process on a lattice. At a given step, the walker can jump by arbitrary lattice…
Smoluchowski flux and Lamb-Lion Problems for Random Walks and Lévy Flights with a Constant Drift
Satya N. Majumdar, Philippe Mounaix, Gregory Schehr
We consider non-interacting particles (or lions) performing one-dimensional random walks or Lévy flights (with Lévy index ) in the presence of a constant drift . In…
Asymptotics for the Expected Maximum of Random Walks and Lévy Flights with a Constant Drift
Philippe Mounaix, Satya N. Majumdar, Gregory Schehr
In this paper, we study the large asymptotics of the expected maximum of an -step random walk/Lévy flight (characterized by a Lévy index ) on a line, in the prese…