Wesley Pegden

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math.PR2025

The Moran process on a random graph

Alan Frieze, Wesley Pegden

We study the fixation probability for two versions of the Moran process on the random graph $G_{n, p}$ at the threshold for connectivity. The Moran process models the spread of a mu…

math.PR2025

Aspects of a randomly growing cluster in $\reals^d,d\geq 2

Alan Frieze, Ravi Kannan, Wesley Pegden

We consider a simple model of a growing cluster of points in $ℜ^{d}, d \geq 2$ . Beginning with a point $X_{1}$ located at the origin, we generate a random sequence of points $X_1,X_2,\…