Necessary and sufficient condition for M-2-convergence to a Levy process for billiards with cusps at flat points

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We consider a class of planar dispersing billiards with a cusp at a point of vanishing curvature. Convergence to a stable law and to the corresponding Lévy process in the M1 and M2 Skorohod topologies has been studied in recent work. Here, we show that certain sufficient conditions for M2-convergence are also necessary.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2021-08
Language
English
Article Type
Article
Citation

STOCHASTICS AND DYNAMICS, v.21, no.05, pp.2150024

ISSN
0219-4937
DOI
10.1142/S0219493721500246
URI
http://hdl.handle.net/10203/287411
Appears in Collection
MA-Journal Papers(저널논문)
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