Zobrazeno 1 - 4
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pro vyhledávání: '"Gurfinkel, Tal"'
Let $K$ and $L$ be two disjoint unions of strictly convex obstacles contained within a Riemannian manifold with boundary $S$ of dimension $m\geq 2$. The sets of travelling times $\mathcal{T}_K$ and $\mathcal{T}_L$ of $K$ and $L$, respectively, are co
Externí odkaz:
http://arxiv.org/abs/2311.07813
Suppose that $K$ and $L$ are two disjoint unions of strictly convex obstacles with the same set of travelling times, contained in an $n$-dimensional Riemannian manifold $M$ (where $n\geq2$). Under some natural curvature conditions on $M$, and provide
Externí odkaz:
http://arxiv.org/abs/2309.11141
Publikováno v:
Chaos 1 December 2022; 32 (12): 123131
Noakes and Stoyanov (2021) introduced a method of recovering strictly convex planar obstacles from their set of travelling times. We provide an extension of this construction for obstacles on Riemannian surfaces under some general curvature condition
Externí odkaz:
http://arxiv.org/abs/2309.04150
We consider travelling times of billiard trajectories in the exterior of an obstacle K on a two-dimensional Riemannian manifold M. We prove that given two obstacles with almost the same travelling times, the generalised geodesic flows on the non-trap
Externí odkaz:
http://arxiv.org/abs/2003.12261