Yazar "Ratiu, Andrei V." için Makale Koleksiyonu listeleme
-
Chaotic n-dimensional euclidean and hyperbolic open billiards and chaotic spinning planar billiards
Deniz, Ali; Kennedy, Judy; Koçak, Şahin; Ratiu, Andrei V.; Üstün, Cevat; Yorke, James A. (Siam Publications, 2008)We propose a new method to handle the n-dimensional billiard problem in the exterior of a finite mutually disjoint union of convex ( but not necessarily strictly convex) smooth obstacles without eclipse in the Euclidean ... -
Inner Tube Formulas for Polytopes
Koçak, Şahin; Ratiu, Andrei V. (Amer Mathematical Soc, 2012)We show that the volume of the inner r-neighborhood of a polytope in the d-dimensional Euclidean space is a pluriphase Steiner-like function, i.e. a continuous piecewise polynomial function of degree d, thus proving a ... -
A notion of robustness and stability of manifolds
Deniz, Ali; Koçak, Şahin; Ratiu, Andrei V. (Academic Press Inc Elsevier Science, 2008)Starting from the notion of thickness of Parks we define a notion of robustness for arbitrary subsets of R-k and we investigate its relationship with the notion of positive reach of Federer. We prove that if a set M is ...