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Poisson-generic points

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Virtualconference
Authors : Weiss, Benjamin (Author of the conference)
CIRM (Publisher )

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Abstract : I will discuss a criterion for randomness of sequences of zeros and ones which is strictly stronger than normality, butholds for almost every sequence generated by i.i.d. random variables with distribution {1/2, 1/2}. Briefly put, the idea is count the number of times blocks of length n appear in the initial block of length $2^n$. I will also discuss an extension of this idea to toral automorphisms. (joint work with Yuval Peres)

Keywords : normal numbers; Poisson processes

MSC Codes :
11K16 - Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
37D99 - None of the above
60F99 - None of the above but in this section

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 01/12/2020
    Conference Date : 25/11/2020
    Subseries : Research talks
    arXiv category : Dynamical Systems ; Number Theory ; Probability
    Mathematical Area(s) : Dynamical Systems & ODE ; Number Theory ; Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 00:56:48
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2020-11-25_Benj_Weiss.mp4

Information on the Event

Event Title : Jean-Morlet Chair 2020 - Conference: Diophantine Problems, Determinism and Randomness / Chaire Jean-Morlet 2020 - Conférence : Problèmes diophantiens, déterminisme et aléatoire
Event Organizers : Rivat, Joël ; Tichy, Robert
Dates : 23/11/2020 - 27/11/2020
Event Year : 2020
Event URL : https://www.chairejeanmorlet.com/2256.html

Citation Data

DOI : 10.24350/CIRM.V.19690103
Cite this video as: Weiss, Benjamin (2020). Poisson-generic points. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19690103
URI : http://dx.doi.org/10.24350/CIRM.V.19690103

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