270 citations · 1.7k across the 38 of their papers we have counts for
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On harmonic measure of critical curves
E. Bettelheim, I. Rushkin, I. A. Gruzberg +1
Fractal geometry of critical curves appearing in 2D critical systems is characterized by their harmonic measure. For systems described by conformal field theories with central char…
Singular limit of Hele-Shaw flow and dispersive regularization of shock waves
Eldad Bettelheim, Oded Agam, Anton Zabrodin +1
We study a family of solutions to the Saffman-Taylor problem with zero surface tension at a critical regime. In this regime, the interface develops a thin singular finger. The flow…
Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model
Alexander G. Abanov, Paul B. Wiegmann
Collective field theory for Calogero model represents particles with fractional statistics in terms of hydrodynamic modes -- density and velocity fields. We show that the quantum h…
Stochastic Loewner evolution for conformal field theories with Lie-group symmetries
E. Bettelheim, I. A. Gruzberg, A. W. W. Ludwig +1
The Stochastic Loewner evolution is a recent tool in the study of two-dimensional critical systems. We extend this approach to the case of critical systems with continuous symmetri…
Unstable fingering patterns of Hele-Shaw flows as a dispersionless limit of the KdV hierarchy
R. Teodorescu, A. Zabrodin, P. Wiegmann
We show that unstable fingering patterns of two dimensional flows of viscous fluids with open boundary are described by a dispersionless limit of the KdV hierarchy. In this framewo…