Billiard scattering on rough sets: two-dimensional case

The notion of a rough two-dimensional (convex) body is introduced, and to each rough body there is assigned a measure on T3 describing billiard scattering on the body. The main result is characterization of the set of measures generated by rough bodies. This result can be used to solve various probl...

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Bibliographic Details
Main Author: Plakhov, Alexander (author)
Format: article
Language:eng
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10773/6308
Country:Portugal
Oai:oai:ria.ua.pt:10773/6308