Lagrangian turbulence lies at the core of numerous applied and fundamental problems
related to the physics of dispersion and mixing in engineering, biofluids, the atmosphere …

Over fourty years ago, the physicist Polyakov proposed a bold framework for string theory, in
which the problem was reduced to the study of certain" random surfaces". He further made …

Abstract Let WN (β)= E 0 e∑ n= 1 N β ω (n, S n)-N β 2/2 be the partition function of a two-
dimensional directed polymer in a random environment, where ω (i, x), i∈ N, x∈ Z 2 are iid …

We propose and test a method to interpolate sparsely sampled signals by a stochastic
process with a broad range of spatial and/or temporal scales. To this end, we extend the …

We expose a hidden scaling symmetry of the Navier–Stokes equations in the limit of
vanishing viscosity, which stems from dynamical space–time rescaling around suitably …

Complex systems often involve random fluctuations for which self-similar properties in space
and time play an important role. Fractional Brownian motions, characterized by a single …

We define and study a fully-convolutional neural network stochastic model, NN-Turb, which
generates a 1-dimensional field with some turbulent velocity statistics. In particular, the …

Motivated by the modeling of the spatial structure of the velocity field of three-dimensional
turbulent flows, and the phenomenology of cascade phenomena, a linear dynamics was …

Motivated by the modeling of three-dimensional fluid turbulence, we define and study a
class of stochastic partial differential equations (SPDEs) that are randomly stirred by a …

We develop a stochastic model for Lagrangian velocity as it is observed in experimental and
numerical fully developed turbulent flows. We define it as the unique statistically stationary …