70 citations · 493 across the 77 of their papers we have counts for
6 papers · 1 filter
Random replacements in Pólya urns with infinitely many colours
Svante Janson
We consider the general version of Pólya urns recently studied by Bandyopadhyay and Thacker (2016+) and Mailler and Marckert (2017), with the space of colours being any Borel space…
Competing first passage percolation on random graphs with finite variance degrees
Daniel Ahlberg, Maria Deijfen, Svante Janson
We study the growth of two competing infection types on graphs generated by the configuration model with a given degree sequence. Starting from two vertices chosen uniformly at ran…
Tail bounds for sums of geometric and exponential variables
Svante Janson
We give explicit bounds for the tail probabilities for sums of independent geometric or exponential variables, possibly with different parameters.
A piecewise contractive dynamical system and election methods
Svante Janson, Anders Öberg
We prove some basic results for a dynamical system given by a piecewise linear and contractive map on the unit interval that takes two possible values at a point of discontinuity.…
Patterns in random permutations avoiding the pattern 321
Svante Janson
We consider a random permutation drawn from the set of 321-avoiding permutations of length and show that the number of occurrences of another pattern has a limit distributi…
Random recursive trees and preferential attachment trees are random split trees
Svante Janson
We consider linear preferential attachment trees, and show that they can be regarded as random split trees in the sense of Devroye (1999), although with infinite potential branchin…