3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.CO2008
A family of determinants associated with a square matrix
Eugene Gutkin
We associate with a matrix over an arbitrary field an infinite family of matrices whose sizes vary from one to infinity; their entries are traces of powers of the original matrix.…
math.DS2008★ 3 cited
Secure two-dimensional tori are flat
Victor Bangert, Eugene Gutkin
A riemannian manifold is secure if the geodesics between any pair of points in the manifold can be blocked by a finite number of point obstacles. Compact, flat manifolds are secure…
math.DS2006
A few remarks on periodic orbits for planar billiard tables
Eugene Gutkin
I announce a solution of the conjecture about the measure of periodic points for planar billiard tables. The theorem says that if $\Om\subset\R^2$ is a compact domain with piecewis…