Turbulent State Symmetries

This lecture by Gregory Falkovich on June 22, 2020, delves into the broken and emerging symmetries of turbulent states, exploring concepts like energy cascades, Kolmogorov scaling, and stochastic integrals of motion. Falkovich discusses the lack of scale invariance in direct turbulent cascades and the potential conformal invariance in turbulence statistics. The lecture also touches on critical percolation, Schramm-Loewner Evolution, and the fractal dimensions of certain systems. Falkovich presents the intriguing idea of conformal invariance in turbulence statistics and the implications of broken symmetries in turbulent systems.