Krall and Sheffer studied the problem of finding all polynomial eigenfunctions of second order linear differential operators in two variables having polynomial coefficients of degree equal to theâ€¦ (More)

We show how the superintegrability of certain systems can be deduced from the presence of multiple parameters in the rational Lax matrix representation. This is also related to the fact that suchâ€¦ (More)

Dynamics of planar domains with multiply connected moving boundaries driven by the gradient of a scalar field that satisfies an elliptic PDE is studied. We consider the question: For which kind ofâ€¦ (More)

Finite-dimensional reductions of the 2D dispersionless Toda hierarchy, constrained by the " string equation " are studied. These include solutions determined by polynomial, rational or logarithmicâ€¦ (More)

We show how the superintegrability of certain systems can be deduced from the presence of multiple parameters in the rational Lax matrix representation. This is also related to the fact that suchâ€¦ (More)

We introduce stochastic Discrete Laplacian Growth and consider its deterministic continuous version. These are reminiscent respectively to well-known Diffusion Limited Aggregation and Hele-Shaw freeâ€¦ (More)

Our paper concerns with the study of rational solutions of the dToda hierarchy of integrable equations. The subject is motivated by numerous important applications to problems of interface dynamicsâ€¦ (More)

Finite-dimensional reductions of the 2D dispersionless Toda hierarchy constrained by the " string equation " are studied. These include solutions determined by polynomial, rational or logarithmicâ€¦ (More)

The paper concerns the Hamiltonian structure of the finite-dimensional reductions 2D dispersionless Toda hierarchy constrained by the string equation. We derive the Hamiltonian structure of theâ€¦ (More)