Fractal bodies invisible in 2 and 3 directions

Author:

Plakhov Alexander, ,Roshchina Vera,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference14 articles.

1. Bodies of zero resistance and bodies invisible in one direction,;A. Aleksenko;Nonlinearity,2009

2. Perfect retroreflectors and billiard dynamics,;P. Bachurin;J. Modern Dynam.,2011

3. "Variational Methods in Shape Optimization Problems,";D. Bucur;Birkhäuser (2005).,2005

4. On Newton's problem of minimal resistance,;G. Buttazzo;Math. Intell.,1993

5. Newton's problem of the body of minimal resistance under a single-impact assumption,;M. Comte;Calc. Var. Partial Differ. Equ.,2001

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1. Invisibility in Billiards is Impossible in an Infinite Number of Directions;Journal of Dynamical and Control Systems;2019-05-02

2. Plane sets invisible in finitely many directions;Nonlinearity;2018-07-17

3. The problem of camouflaging via mirror reflections;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2017-09

4. On 4-Reflective Complex Analytic Planar Billiards;The Journal of Geometric Analysis;2016-02-22

5. On the number of invisible directions for a smooth Riemannian metric;Journal of Geometry and Physics;2015-01

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