70 citations · 453 across the 51 of their papers we have counts for
11 papers · 1 filter
Standard representation of multivariate functions on a general probability space
Svante Janson
It is well-known that a random variable, i.e., a function defined on a probability space, with values in a Borel space, can be represented on the special probability space consisti…
Random graphs with forbidden vertex degrees
Geoffrey Grimmett, Svante Janson
We study the random graph G_{n,λ/n} conditioned on the event that all vertex degrees lie in some given subset S of the non-negative integers. Subject to a certain hypothesis on S,…
Dismantling sparse random graphs
Svante Janson, Andrew Thomason
We consider the number of vertices that must be removed from a graph G in order that the remaining subgraph has no component with more than k vertices. Our principal observation is…
The largest component in a subcritical random graph with a power law degree distribution
Svante Janson
It is shown that in a subcritical random graph with given vertex degrees satisfying a power law degree distribution with exponent , the largest component is of order $n^{1/(γ-…
A new approach to the giant component problem
Svante Janson, Malwina Luczak
We study the largest component of a random (multi)graph on n vertices with a given degree sequence. We let n tend to infinity. Then, under some regularity conditions on the degree…
Tail estimates for the Brownian excursion area and other Brownian areas
Svante Janson, Guy Louchard
Several Brownian areas are considered in this paper: the Brownian excursion area, the Brownian bridge area, the Brownian motion area, the Brownian meander area, the Brownian double…