42 citations · 44 across the 9 of their papers we have counts for
9 papers
Body with mirror surface and connected interior invisible from one point
Alena Aleksenko
Here we demonstrate existence of a piecewise smooth obstacle having connected interior and invisible from a point in the framework of geometric optics.
On the sequence
Alena Aleksenko
We prove that there exists such that for any the dicrepancy of the sequence satisfies .
A spectrum associated with Minkowski diagonal continued fraction
Alena Aleksenko
We prove a result on the structure of a Diophantine spectrum associated with Minkowski diagonal continued fraction.
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…
Examples of Admissible Simplification of Mathematical Theories
Alena Aleksenko, Evgeny Lakshtanov
"Mathematicians, like physicists, are pushed by a strong fascination. Research in mathematics is hard, it is intellectually painful even if it is rewarding, and you would not do it…
Bodies invisible in one direction and bodies of zero total cross section
Alena Aleksenko, Alexander Plakhov
We consider a body in a parallel flow of non-interacting particles. One can imagine that the flow is highly rarefied or consists of light rays. The interaction of particles with th…