4 papers
Levy solutions of a randomly forced Burgers equation
Marie-Line Chabanol, Jean Duchon
We consider the one dimensional Burgers equation forced by a brownian in space and white noise in time process , with $2E(f(x,t)f(y,s)) = (|…
Small-tau expansion for the form factor of glued quantum star graphs
Marie-Line Chabanol
We compute the small-tau expansion up to the third order for the form factor of two glued quantum star graphs with Neumann boundary conditions, by taking into account only the most…
Three-point correlations for quantum star graphs
Marie-Line Chabanol
We compute the three point correlation function for the eigenvalues of the Laplacian on quantum star graphs in the limit where the number of edges tends to infinity. This extends a…
Markovian solutions of inviscid Burgers equation
Marie-Line Chabanol, Jean Duchon
For solutions of (inviscid, forceless, one dimensional) Burgers equation with random initial condition, it is heuristically shown that a stationary Feller-Markov property (with res…