most citedNormal random matrix ensemble as a growth problem

105 citations · 186 across the 5 of their papers we have counts for

collaborators

5 papers

nlin.SI200520 cited

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…

hep-th200534 cited

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…

cond-mat.soft20041 cited

Field Theory Analysis of Laplacian Growth Models

Eldad Bettelheim

We consider Laplacian growth problems using a field theory approach. In particular we consider the Saffman-Taylor (ST) problem. The idealized settings of the problem, with vanishin…

hep-th200426 cited

Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy

R. Teodorescu, E. Bettelheim, O. Agam +2

We continue the analysis of the spectral curve of the normal random matrix ensemble, introduced in an earlier paper. Evolution of the full quantum curve is given in terms of compat…

hep-th2004105 cited

Normal random matrix ensemble as a growth problem

R. Teodorescu, E. Bettelheim, O. Agam +2

In general or normal random matrix ensembles, the support of eigenvalues of large size matrices is a planar domain (or several domains) with a sharp boundary. This domain evolves u…