58 citations · 182 across the 32 of their papers we have counts for
4 papers · 1 filter
Remarks on interior transmission eigenvalues, Weyl formula and branching billiards
Evgeny Lakshtanov, Boris Vainberg
The paper contains the Weyl formula for the counting function of the interior transmission problem when the latter is parameter-elliptic. Branching billiard trajectories are constr…
Finiteness of the playing time in 'Beggar-my-neighbour' card game
A. Aleksenko, E. Lakshtanov
It is proved that in card games similar to 'Beggar-my-neighbour' the mathematical expectation of the playing time is finite, provided that the player who starts the round is determ…
Ellipticity in the interior transmission problem in anisotropic media
Evgeny Lakshtanov, Boris Vainberg
The paper concerns the discreteness of the eigenvalues and the solvability of the interior transmission problem for anisotropic media. Conditions for the ellipticity of the problem…
Isotope uptake dynamics in the Ostwald ripening model of recrystallization
Evgeny Lakshtanov, Leonid Lakshtanov
The article is withdrawn since we decided not to publish it in the present form but to divide it in two parts. One of these parts concerns the mathematical aspects of Return Radius…