Math ClubOn Convergence of Random SeriesIddo Ben-Ari (UConn)

Wednesday, February 26, 2020
5:45pm – 6:35pm

Storrs Campus
Monteith 314

The harmonic series, $$1 + \frac 12 + \frac 13 + \frac 14 + \cdots$$, diverges. Its alternating-sign version, $$1 - \frac 12 + \frac 13 - \frac 14 + \cdots$$, converges. What if a series is obtained by assigning signs at random, say by coin flips? In this talk we will discuss the topic of random series, present some classical results, including Kolmogorov's Three Series theorem, and will see more examples, applications and problems.

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