97 citations · 112 across the 4 of their papers we have counts for
4 papers
Discrete Laplacian Growth: Linear Stability vs Fractal Formation
Igor Loutsenko, Oksana Yermolayeva
We introduce stochastic Discrete Laplacian Growth and consider its deterministic continuous version. These are reminiscent respectively to well-known Diffusion Limited Aggregation…
A Critical Phenomenon in Solitonic Ising Chains
Igor M. Loutsenko, Vyacheslav P. Spiridonov
We discuss a phase transition of the second order taking place in non-local 1D Ising chains generated by specific infinite soliton solutions of the KdV and BKP equations.
Constrained Reductions of 2D dispersionless Toda Hierarchy, Hamiltonian Structure and Interface Dynamics
J. Harnad, I. Loutsenko, O. Yermolayeva
Finite-dimensional reductions of the 2D dispersionless Toda hierarchy, constrained by the ``string equation'' are studied. These include solutions determined by polynomial, rationa…
On Critical Velocities in Exciton Superfluidity
I. Loutsenko, D. Roubtsov
The presence of exciton phonon interactions is shown to play a key role in the exciton superfluidity. We apply the Landau criterion for an exciton-phonon condensate moving uniforml…