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Topological crackle of heavy-tailed moving average processes
Institution:1. St.Petersburg Department of V.A.Steklov Institute of Mathematics of Russian Academy of Science and St.Petersburg State University, Fontanka embankment, 27, St.Petersburg, 191023, Russia;2. Münster University, Orléans-Ring 10, 48149 Münster, Germany;3. St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia;4. MAI, Linköping University, Sweden
Abstract:
Keywords:Extreme value theory  Random topology  Topological crackle  Moving average process  Betti number
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