1.1k citations · 2.4k across the 70 of their papers we have counts for
71 papers
Renormalization Group on Wiener Space: Spectral Theory and Universality
André L. P. Considera, Alexei A. Mailybaev
We develop a rigorous renormalization group (RG) formalism on Wiener space. We introduce an RG operator acting on probability measures over continuous paths, whose fix…
First-principles perturbative theory of anomalous scaling in a stochastic shell model of turbulence
Alexei A. Mailybaev
Deriving anomalous scaling exponents from the equations of motion remains a central problem in the statistical theory of turbulence. Here we obtain a first-principles perturbative…
Perturbative anomalous exponents from Kolmogorov multipliers
Alexei A. Mailybaev, Simon Thalabard
Intermittency, manifested through anomalous scaling, remains one of the central unresolved problems in turbulence theory, with few analytical approaches extending beyond idealized…
Renormalization-group perspective on spontaneous stochasticity
Alexei A. Mailybaev, Luca Moriconi
We present a renormalization-group perspective on spontaneous stochasticity in hydrodynamic turbulence, viewed through the lens of multiscale dynamical systems. Building on previou…
On the importance of stochasticity in closures of turbulence
André Freitas, Luca Biferale, Mathieu Desbrun +3
Deterministic closures for coarse-grained turbulence models help reproduce mean statistics, but often fail to capture the finite-time growth of uncertainty. Using the framework of…
RG theory of spontaneous stochasticity for Sabra model of turbulence
Alexei A. Mailybaev
We consider fluctuating Sabra models of turbulence, which exhibit the phenomenon of spontaneous stochasticity: their solutions converge to a stochastic process in the ideal limit,…