Publications

Functional Limit Theorems for Volterra Processes and Applications to Homogenization

We prove an enhanced limit theorem for additive functionals of a multidimensional Volterra process $(y_t)_ {t\geq 0}$. As an …

Slow-Fast Systems with Fractional Environment and Dynamics

We prove an averaging principle for interacting slow-fast systems driven by independent fractional Brownian motions. The mode of …

Monotonicity of the Poincaré and Log Sobolev Constants of One Dimensional Gibbs Measures

We investigate monotonicity properties of the Poincaré and Log-Sobolev constants of symmetric Gibbs measures on compact intervals. More …

Bounds on the bipartite entanglement entropy for oscillator systems with or without disorder

We give a direct alternative proof of an area law for the entanglement entropy of the ground state of disordered oscillator …