15 citations · 57 across the 17 of their papers we have counts for
20 papers
Geometric optimization problems generated by plane curves
Petar Kenderov, Oleg Mushkarov, Nikolai Nikolov
Let and be regular -smooth curves in the plane and be a regular -smooth curve in the same plane. Consider all triples of points , …
Moving rectangular sofas in planar and spatial corridors
Oleg Mushkarov, Nikolai Nikolov
We consider eight natural planar corridors, including the standard -shaped one, and characterize the rectangles that can move around their corners. As a bi-product we d…
A Generalization of a Classical Geometric Extremum Problem
Petar Kenderov, Oleg Mushkarov, Nikolai Nikolov
Let be the boundary of a compact convex body in , and be an interior point of . Every straight line…
On a geometric extremum problem for convex cones
Oleg Mushkarov, Nikolai Nikolov
We discuss the optimization problem for minimizing the -volume of the intersection of a convex cone in with a hyperplane through a given point, first consider…
A Picard little theorem for entire functions of matrices
Oleg Mushkarov, Nikolai Nikolov
An analog of Picard's little theorem for entire functions of matrices is proved.
Lipschitzness of the width and diameter functions of convex bodies in
Oleg Mushkarov, Nikolai Nikolov, Pascal J. Thomas
Lipschitz constants for the width and diameter functions of a convex body in are found in terms of its diameter and thickness (maximum and minimum of both functions).…