70 citations · 495 across the 84 of their papers we have counts for
10 papers · 1 filter
Minimal matchings of point processes
Alexander E. Holroyd, Svante Janson, Johan Wästlund
Suppose that red and blue points form independent homogeneous Poisson processes of equal intensity in . For a positive (respectively, negative) parameter we consider red-b…
On general subtrees of a conditioned Galton-Watson tree
Svante Janson
We show that the number of copies of a given rooted tree in a conditioned Galton-Watson tree satisfies a law of large numbers under a minimal moment condition on the offspring dist…
On the probability that a binomial variable is at most its expectation
Svante Janson
Consider the probability that a binomial random variable Bi with integer expectation is at most its expectation. Chvátal conjectured that for any given , this proba…
On the Gromov-Prohorov distance
Svante Janson
We survey some basic results on the Gromov-Prohorov distance between metric measure spaces. (We do not claim any new results.) We give several different definitions and show the eq…
Continuous time digital search tree and a border aggregation model
Svante Janson, Debleena Thacker
We consider the continuous-time version of the random digital search tree, and construct a coupling with a border aggregation model as studied in Thacker and Volkov (2018), showing…
The space in several variables: random variables and higher moments
Svante Janson
We study the Banach space of functions of several variables that are (in a certain sense) right-continuous with left limits, and extend several results previously know…