24 citations · 143 across the 29 of their papers we have counts for
3 papers · 1 filter
Calculated Boldness: Optimizing Financial Decisions with Illiquid Assets
Stanislav Shalunov, Alexei Kitaev, Yakov Shalunov +1
We consider games of chance played by someone with external capital that cannot be applied to the game and determine how this affects risk-adjusted optimal betting. Specifically, w…
The Beauty of Random Polytopes Inscribed in the 2-sphere
Arseniy Akopyan, Herbert Edelsbrunner, Anton Nikitenko
Consider a random set of points on the unit sphere in , which can be either uniformly sampled or a Poisson point process. Its convex hull is a random inscribed polyto…
Billiards in ellipses revisited
Arseniy Akopyan, Richard Schwartz, Serge Tabachnikov
We prove some recent experimental observations of D. Reznik concerning periodic billiard orbits in ellipses. For example, the sum of cosines of the angles of a periodic billiard po…