34 citations · 82 across the 4 of their papers we have counts for
6 papers
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…
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…
Large N expansion for normal and complex matrix ensembles
P. Wiegmann, A. Zabrodin
We present the first two leading terms of the 1/N (genus) expansion of the free energy for ensembles of normal and complex random matrices. The results are expressed through the su…
Aharonov-Bohm Effect in the Quantum Hall Regime and fingering instability
P. Wiegmann
The shape of an electronic droplet in the quantum Hall effect is sensitive to gradients of the magnetic field, even if they are placed outside the droplet. Magnetic impurities caus…
Viscous fingering and a shape of an electronic droplet in the Quantum Hall regime
Oded Agam, Eldad Bettelheim, P. Wiegmann +1
We show that the semiclassical dynamics of an electronic droplet confined in the plane in a quantizing inhomogeneous magnetic field in the regime when the electrostatic interaction…