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math-ph2026
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…
math-ph2026
Simulating passive scalar advection in rough Kraichnan flows
Long Li, André L. P. Considera, Simon Thalabard
We present a systematic Eulerian study of passive scalar advection in rough two-dimensional Kraichnan flows, covering the full range of velocity roughness exponent . The…
math-ph2025
Transport in multifractal Kraichnan flows: from turbulence to Liouville quantum gravity
André L. P. Considera, Simon Thalabard
We investigate the behavior of fluid trajectories in a multifractal extension of the Kraichnan model of turbulent advection. The model couples a one-dimensional, Gaussian, white-in…