Search Light in Billiard Tables (original) (raw)

Open Problems on Billiards and Geometric Optics

Alexander Plakhov

Arnold Mathematical Journal, 2022

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Invisibility in billiards

Alexander Plakhov

Nonlinearity, 2011

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Open Problems from workshop"Differential Geometry, Billiards, and Geometric Optics

Alexander Plakhov

2021

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Invisibility in Billiards is Impossible in an Infinite Number of Directions

Alexander Plakhov

Journal of Dynamical and Control Systems, 2019

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On some Refraction Billiards

Susanna Terracini

2021

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Billiards, invisibility, and perfectly streamlining objects

Alexander Plakhov

2017

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Chaotic billiards seen as mirror cabinets

J. Peinke

Physica D: Nonlinear Phenomena, 1997

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Exterior Billiards

Alexander Plakhov

2013

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The geometry of illumination

Károly Bezdek

arXiv: Metric Geometry, 2016

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Polygons, conics and billiards

Ronaldo Garcia

Materials matemàtics, 2020

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On another edge of defocusing: hyperbolicity of asymmetric lemon billiards

Hongkun Zhang

arXiv (Cornell University), 2014

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On the local Birkhoff conjecture for convex billiards

Vadim Kaloshin

Annals of Mathematics, 2018

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Bodies with mirror surface invisible from two points

Alexander Plakhov

Nonlinearity, 2014

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Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries

G. Galperin

Regular and Chaotic Dynamics

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Nonpersistence of resonant caustics in perturbed elliptic billiards

Sonia Carvalho

2011

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On conjugacy of convex billiards

Vadim Kaloshin

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The talented Mr. Inversive Triangle in the elliptic billiard

Mark Helman

European Journal of Mathematics

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Billiards with Pockets: A Separation Principle and Bound for the Number of Orbit Types

G. Galperin

Communications in Mathematical Physics - COMMUN MATH PHYS, 2002

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Can the Elliptic Billiard Still Surprise Us?

Ronaldo Garcia

The Mathematical Intelligencer

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Billiards that share a triangular caustic

Oliver Knill

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The Current State of Fractal Billiards

Michel L Lapidus

Contemporary Mathematics, 2013

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Efficient method for scattering problems in open billiards: Theory and applications

Gursoy Akguc

Physical Review B, 2006

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On Nonconvex Caustics of Convex Billiards

Oliver Knill

Elemente der Mathematik, 1998

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Chaotic Focusing Billiards in Higher Dimensions

italo guarneri

Physical Review Letters, 1996

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Code and order in polygonal billiards

Jozef Bobok

Topology and its Applications

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The problem of camouflaging via mirror reflections

Alexander Plakhov

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Visibility with Multiple Reflections

Tamal Dey

Discrete & Computational Geometry, 1998

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The Ballet of Triangle Centers on the Elliptic Billiard

Ronaldo Garcia

arXiv: Dynamical Systems, 2020

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06 07 02 0 v 1 3 J ul 2 00 6 An efficient method for scattering problems in open billiards : Theory and applications

Gursoy Akguc

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Marked Length Spectrum, Homoclinic Orbits and the Geometry of Open Dispersing Billiards

Vadim Kaloshin

Communications in Mathematical Physics, 2019

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Generic Oval Billiards

Sonia Carvalho

2007

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Hyperbolic Billiard Paths

Rebecca Lehman

2002

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Eigenstates for billiards of arbitrary shapes

Aurel Bulgac

1999

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