On the boundedness of Bernoulli processes
Witold Bednorz, Rafa{\l} Lata{\l}a
TL;DR
This paper solves the Bernoulli Conjecture by characterizing when Bernoulli processes are sample bounded, providing new insights into their behavior and discussing related applications and open problems.
Contribution
It offers a positive solution to the longstanding Bernoulli Conjecture, advancing understanding of Bernoulli process boundedness.
Findings
Confirmed the Bernoulli Conjecture
Characterized sample boundedness of Bernoulli processes
Discussed applications and open problems related to the conjecture
Abstract
We present a positive solution to the so-called Bernoulli Conjecture concerning the characterization of sample boundedness of Bernoulli processes. We also discuss some applications and related open problems.
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