Emanuele Dolera

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

Let

The role of the central limit theorem in discovering sharp rates of convergence to equilibrium for the solution of the Kac equation

f(\cdot,t)

Frequentistic approximations to Bayesian prevision of exchangeable random elements

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

Note on “Frequentistic approximations to Bayesian prevision of exchangeable random elements” [Int. J. Approx. Reason. 78 (2016) 138–152]

t

Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions

, with initial data

Probabilistic representation for the solution of the homogeneous Boltzmann equation for Maxwellian molecules

f_0

A Berry-Esseen theorem for Pitman's

, and let

\alpha

g_{\sigma}

-diversity.

be the Gaussian density with zero mean and variance

De Finetti's theorem: rate of convergence in Kolmogorov distance

\sigma^2