36 citations · 185 across the 21 of their papers we have counts for
22 papers
Dissipative outer billiards: a case study
Gianluigi Del Magno, José Pedro Gaivão, Eugene Gutkin
We study dissipative polygonal outer billiards, i.e. outer billiards about convex polygons with a contractive reflection law. We prove that dissipative outer billiards about any tr…
Billiard Dynamics: An Updated Survey with the Emphasis on Open Problems
Eugene Gutkin
This is an updated and expanded version of our earlier survey article \cite{Gut5}. Section introduces the subject matter. Sections expose the basic material followin…
On a multi-dimesional generalization of the notion of orthostochastic and unistochastic matrices
Eugene Gutkin
We introduce the notions of -orthostochastic, -unistochastic, and -qustochastic matrices. These are the particular cases of -bistochastic matrices where is real o…
Connection blocking in homogeneous spaces and nilmanifolds
Eugene Gutkin
Let be a connected Lie group acting locally simply transitively on a manifold . By connecting curves in we mean the orbits of one-parameter subgroups of . To block a…
Joint numerical ranges, quantum maps, and joint numerical shadows
Eugene Gutkin, Karol Zyczkowski
We associate with k hermitian N\times N matrices a probability measure on R^k. It is supported on the joint numerical range of the k-tuple of matrices. We call this measure the joi…
Addendum to: Capillary floating and the billiard ball problem
Eugene Gutkin
We compare the results of our earlier paper on the floating in neutral equilibrium at arbitrary orientation in the sense of Finn-Young with the literature on its counterpart in the…