# Seminars & Colloquia Calendar

## The upper tail for triangles in sparse random graphs

#### Wojtek Samotij, Tel Aviv

Location: ** Hill 705**

Date & time: Monday, 05 November 2018 at 2:00PM - 3:00PM

Abstract: |
Let X denote the number of triangles in the random graph G(n, p). The problem of determining the asymptotics of the rate of the upper tail of X, that is, the function f_c(n,p) = log Pr(X > (1+c)E[X]), has attracted considerable attention of both the combinatorics and the probability communities. We shall present a proof of the fact that whenever log(n)/n << p << 1, then f_c(n,p) = (r(c)+o(1)) n^2 p^2 log(p) for an explicit function r(c). This is joint work with Matan Harel and Frank Mousset. |
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