177 citations · 319 across the 6 of their papers we have counts for
6 papers
Fluid dynamics as intersection problem
Nikita Nekrasov, Paul Wiegmann
We formulate the equations of fluid dynamics as an intersection-theoretic problem on an infinite-dimensional symplectic manifold naturally associated with spacetime. This perspecti…
Dyson gas on a curved contour
P. Wiegmann, A. Zabrodin
We introduce and study a model of a logarithmic gas with inverse temperature on an arbitrary smooth closed contour in the plane. This model generalizes Dyson's gas (the -ens…
Gradient Catastrophe and Fermi Edge Resonances in Fermi Gas
Eldad Bettelheim, Yitzhak Kaplan, Paul B. Wiegmann
A smooth spatial disturbance of the Fermi surface in a Fermi gas inevitably becomes sharp. This phenomenon, called {\it the gradient catastrophe}, causes the breakdown of a Fermi s…
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…
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…
Conformal maps and dispersionless integrable hierarchies
P. B. Wiegmann, A. Zabrodin
We show that conformal maps of simply connected domains with an analytic boundary to a unit disk have an intimate relation to the dispersionless 2D Toda integrable hierarchy. The m…