Alexander Plakhov, Serge Tabachnikov, Dmitry Treschev, “Billiard transformations of parallel flows: A periscope theorem”, Journal of Geometry and Physics, 2017, Volume 115, Issue 5, Pages 157

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Journal of Geometry and Physics

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Journal of Geometry and Physics, 2017, Volume 115, Issue 5, Pages 157–166
DOI: https://doi.org/10.1016/j.geomphys.2016.04.006 (Mi jgph2)

Citations (9)

DOI: https://doi.org/10.1016/j.geomphys.2016.04.006

Funding agency	Grant number
Center for Research and Development in Mathematics and Applications	UID/MAT/04106/2013
Fundação para a Ciência e a Tecnologia	PTDC/MAT/113470/2009
National Science Foundation	DMS-1105442 DMS-1510055
Russian Foundation for Basic Research	15-01-03747
The first author was supported by Portuguese funds through CIDMA — Center for Research and Development in Mathematics and Applications, and FCT — Portuguese Foundation for Science and Technology, within the project UID/MAT/04106/2013, as well as by the FCT research project PTDC/MAT/113470/2009. The second author was supported by the NSF grants DMS-1105442 and DMS-1510055. The third author was supported by the grant RFBR 15-01-03747.

Received: 25.02.2016
Accepted: 12.04.2016

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Document Type: Article

Language: English

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https://www.mathnet.ru/eng/jgph2

This publication is cited in the following 9 articles:

Elim Hicks, R. Andrew Hicks, Ron Perline, Sarah G. Rody, “Frobenius Integrability, Automotive Blind Spots, Non-reversing Mirrors, and Panoramic Mirrors”, The American Mathematical Monthly, 130:3 (2023), 251
Alexey Glutsyuk, “Density of a thin film billiard reflection pseudogroup in a Hamiltonian symplectomorphism pseudogroup”, Isr. J. Math., 258:1 (2023), 137
Misha Bialy, Corentin Fierobe, Alexey Glutsyuk, Mark Levi, Alexander Plakhov, Serge Tabachnikov, “Open Problems on Billiards and Geometric Optics”, Arnold Math J., 8:3-4 (2022), 411
Serge Tabachnikov, “Two Variations on the Periscope Theorem”, Regul. Chaotic Dyn., 25:1 (2020), 11–17
R. Andrew Hicks, Ronald K. Perline, Sarah G. Rody, “Anti-eikonal equation of an eigenmirror”, J. Opt. Soc. Am. A, 37:10 (2020), 1566
Alexander Plakhov, Vera Roshchina, “Invisibility in Billiards is Impossible in an Infinite Number of Directions”, J Dyn Control Syst, 25:4 (2019), 671
Sarah G. Rody, Ronald K. Perline, R. Andrew Hicks, “Eigensurfaces of eigenmirrors”, J. Opt. Soc. Am. A, 36:8 (2019), 1312
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrability in geometry and physics. New scope and new potential”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 74:3 (2019), 98–107
V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards”, Izv. Math., 83:6 (2019), 1137–1173

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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