70 citations · 389 across the 47 of their papers we have counts for
11 papers · 2 filters
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,…
Random even graphs
Geoffrey Grimmett, Svante Janson
We study a random even subgraph of a finite graph with a general edge-weight . We demonstrate how it may be obtained from a certain random-cluster measure on , an…
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-…
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…
The integral of the supremum process of Brownian motion
Svante Janson, Niclas Petersson
In this paper we study the integral of the supremum process of standard Brownian motion. We present an explicit formula for the moments of the integral (or area) A(T), covered by t…