105 citations · 151 across the 3 of their papers we have counts for
3 papers
nlin.SI2005★ 20 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-th2004★ 26 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-th2004★ 105 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…