Fast oscillating random perturbations of dynamical systems with conservation laws
Flots browniens isotropes sur la sphère
Fonctions convexes et semimartingales dans une variété
Formules de Lefschetz délocalisées
Fredholm determinant of an integral operator driven by a diffusion process.
Front propagation for nonlinear diffusion equations on the hyperbolic space
We study the Cauchy problem in the hyperbolic space for the semilinear heat equation with forcing term, which is either of KPP type or of Allen-Cahn type. Propagation and extinction of solutions, asymptotical speed of propagation and asymptotical symmetry of solutions are addressed. With respect to the corresponding problem in the Euclidean space new phenomena arise, which depend on the properties of the diffusion process in . We also investigate a family of travelling wave solutions, named...