Ester Gabetta

Reaching the best possible rate of convergence to equilibrium for solutions of Kac’s equation via central limit theorem

Let

Central limit theorem for the solution of the Kac equation

f(\cdot,t)

APPROXIMATING THE BROADWELL MODEL IN A STRIP

be the probability density function which represents the solution of Kacs equation at time

On the Depth of the Trees in the Mckean Representation of Wild's Sums

t

Complete Characterization of Convergence to Equilibrium for an Inelastic Kac Model

, with initial data

Central schemes for hydrodynamical limits of discrete-velocity kinetic models

f_0

Results on optimal rate of convergence to equilibrium for spatially homogeneous Maxwellian gases

, and let

Stochastic Aspects in Nonlinear Discrete Kinetic Theory

g_{\sigma}

An invariance principle for one large particle with collisions

be the Gaussian density with zero mean and variance

Some New Results for McKean’s Graphs with Applications to Kac’s Equation

\sigma^2