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Probabilistic methods in statistical physics for extreme statistics and rare events

Universal statistics of records

speaker: Satya Majumdar (Univ. of Orsay)

abstract: Records are rather common in everyday life: we are always talking of record rainfall, record temperature, records in sports and stock prices etc. A natural question is: How many records occur in a typical time-series of length $n$? It turns out that in many natural time-series, the average number of records grow universally with $n$! Where does this universality come from? In this talk, I will first make a broad review of record statistics, with emphasis on its universal aspects. Later I'll discuss a realistic, yet exactly solvable record model for rainfall, where the presence of dry days induces negative correlations between record-beaking precipitation events.


timetable:
Mon 17 Sep, 9:30 - 10:15, Aula Dini
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