13 citations · 36 across the 10 of their papers we have counts for
10 papers
Equilibrium of Charges and Differential Equations Solved by Polynomials II
Igor Loutsenko, Oksana Yermolayeva
We continue study of equilibrium of two species of 2d coulomb charges (or point vortices in 2d ideal fluid) started in (Igor Loutsenko, J. Phys. A: Math. Gen. 37, 1309, 2004). Alth…
Vortices and Factorization
Igor Loutsenko, Oksana Yermolayeva
We review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patter…
Quasi Band-Limited Coronagraph for Extended Sources
Igor Loutsenko, Oksana Yermolayeva
We propose a class of graded coronagraphic "amplitude" image masks for a high throughput Lyot-type coronagraph that transmits light from an annular region around an extended source…
Stochastic Loewner Evolutions, Fuchsian Systems and Orthogonal Polynomials
Igor Loutsenko, Oksana Yermolayeva
We find a wide class of Levy-Loewner evolutions for which the value of integral means beta-spectrum at is the maximal real eigenvalue of a three-diagonal matrix. The s…
On Integrability and Exact Solvability in Deterministic and Stochastic Laplacian Growth
Igor Loutsenko, Oksana Yermolayeva
We review applications of theory of classical and quantum integrable systems to the free-boundary problems of fluid mechanics as well as to corresponding problems of statistical me…
On Harmonic Measure of the Whole Plane Levy-Loewner Evolution
Igor Loutsenko, Oksana Yermolayeva
Levy-Loewner evolution (LLE) is a generalization of the Schramm-Loewner evolution (SLE) where the branching is possible in a course of growth process. We consider a class of radial…