28 citations · 29 across the 3 of their papers we have counts for
3 papers
Critical behavior of a phase transition in the dynamics of interacting populations
Thibaut Arnoulx de Pirey, Guy Bunin
Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a d…
Path integrals and stochastic calculus
Thibaut Arnoulx de Pirey, Leticia F. Cugliandolo, Vivien Lecomte +1
Path integrals are a ubiquitous tool in theoretical physics. However, their use is sometimes hindered by the lack of control on various manipulations -- such as performing a change…
Nonlinear analog of the complexity-stability transition in random dynamical systems: a replica calculation
Thibaut Arnoulx de Pirey, Frédéric van Wijland
We consider large-dimensional dynamical systems involving a linear force and a random force comprising both potential and non-conservative contributions. Such systems are known to…