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nlin.CD2026
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,…
nlin.CD2026
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…
nlin.CD2025
Spontaneous stochasticity in a 3d Weierstrass-ABC flow
Antoine Barlet, Adam Cheminet, Bérengère Dubrulle +1
Chaotic systems are characterised by exponential separation between close-by trajectories, which in particular leads to deterministic unpredictability over an infinite time-window.…