288 citations · 537 across the 9 of their papers we have counts for
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math.PR2007★ 288 cited
Graph limits and exchangeable random graphs
Persi Diaconis, Svante Janson
We develop a clear connection between deFinetti's theorem for exchangeable arrays (work of Aldous--Hoover--Kallenberg) and the emerging area of graph limits (work of Lovasz and man…
math.PR2007★ 80 cited
Separation cut-offs for birth and death chains
Persi Diaconis, Laurent Saloff-Coste
This paper gives a necessary and sufficient condition for a sequence of birth and death chains to converge abruptly to stationarity, that is, to present a cut-off. The condition in…
math.PR2004★ 63 cited
Exchangeable pairs and Poisson approximation
Sourav Chatterjee, Persi Diaconis, Elizabeth Meckes
This is a survey paper on Poisson approximation using Stein's method of exchangeable pairs. We illustrate using Poisson-binomial trials and many variations on three classical probl…