105 citations · 188 across the 6 of their papers we have counts for
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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…
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…
Tip-splitting evolution in the idealized Saffman-Taylor problem
E. Bettelheim, O. Agam
We derive a formula describing the evolution of tip-splittings of Saffman-Taylor fingers in a Hele-Shaw cell, at zero surface tension.
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…