most citedExistence of a phase transition of the interchange process on the Hamming graph

3 citations · 3 across the 2 of their papers we have counts for

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3 papers

math.PR2016

Asymptotic number of caterpillars of regularly varying -coalescents that come down from infinity

Bati Sengul

In this paper we look at the asymptotic number of r-caterpillars for -coalescents which come down from infinity, under a regularly varying assumption. An r-caterpillar is a func…

math.PR2016★ 3 cited

Existence of a phase transition of the interchange process on the Hamming graph

Bati Sengul, Piotr Milos

The interchange process on a finite graph is obtained by placing a particle on each vertex of the graph, then at rate 1, selecting an edge uniformly at random and swapping the two…

math.PR2013

Scaling Limits of Coalescent Processes Near Time Zero

Bati Sengul

In this paper we obtain scaling limits of -coalescents near time zero under a regularly varying assumption. In particular this covers the case of Kingman's coalescent and beta c…