Several years after the pioneering work by Fermi Pasta and Ulam, fundamental questions about the link between dynamical and statistical properties remain still open in modern statistical mechanics. Particularly controversial is the role of deterministic chaos for the validity and consistency of statistical approaches. This contribution reexamines such a debated issue taking inspiration from the...

Abstract We consider the reconstruction of moving sources using partial measured data. A two-step deterministic-statistical approach is proposed. In first step, an approximate direct sampling method developed to obtain locations at different times. Such information coded in priors, which critical for success Bayesian second step. The well-posedness posterior measure analyzed sense Hellinger dis...

The probability distribution of number of ties of an individual in a social network follows a scale-free power-law. However, how this distribution arises has not been conclusively demonstrated in direct analyses of people's actions in social networks. Here, we perform a causal inference analysis and find an underlying cause for this phenomenon. Our analysis indicates that heavy-tailed degree di...

We present and study a model for the nonequilibrium statistical mechanics of protein distributions in a proliferating cell population. Our model describes how the total protein variation is shaped by two processes: variation in protein production internal to the cells and variation in division and inheritance at the population level. It enables us to assess the contribution of each of these com...

Most of the currently available numerical prediction techniques for the analysis of steady-state dynamic vibro-acoustic problems can be classified as being either deterministic or statistical approaches. The Finite Element Method (FEM), the most popular deterministic technique, is limited to the low-frequency range due to its sensitivity to interpolation and pollution errors. The statistical me...