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math-ph2022★ 14 cited
On Products of Random Matrices
Natalia Amburg, Aleksandr Yu. Orlov, Dmitry Vasiliev
We introduce a family of models, which we name matrix models associated with children's drawings -- the so-called dessin d'enfant. Dessins d'enfant are graphs of a special kind dra…
math-ph2009
Laplacian growth in the half plane
D. Vasiliev, A. Zabrodin
We investigate a version of the Laplacian growth problem with zero surface tension in the half plane and find families of self-similar exact solutions.