554 citations · 2.3k across the 174 of their papers we have counts for
210 papers
On a central limit theorem in renewal theory
Svante Janson
Serfozo (2009, Theorem 2.65) gives a useful central limit theorem for processes with regenerative increments. Unfortunately, there is a gap in the proof. We fill this gap, and at t…
Real trees
Svante Janson
We survey the definition and some elementary properties of real trees. There are no new results, as far as we know. One purpose is to give a number of different definitions and sho…
Central limit theorem for components in meandric systems through high moments
Svante Janson, Paul Thévenin
We investigate here the behaviour of a large typical meandric system, proving a central limit theorem for the number of components of given shape. Our main tool is a theorem of Gao…
The number of descendants in a random directed acyclic graph
Svante Janson
We consider a well known model of random directed acyclic graphs of order , obtained by recursively adding vertices, where each new vertex has a fixed outdegree and the…
On the Statistics of the Number of Fixed-Dimensional Subcubes in a Random Subset of the n-Dimensional Discrete Unit Cube
Svante Janson, Blair Seidler, Doron Zeilberger
This paper consists of two independent, but related parts. In the first part we show how to use symbolic computation to derive explicit expressions for the first few moments of the…
Conditioned Galton-Watson trees: The shape functional, and more on the sum of powers of subtree sizes and its mean
James Allen Fill, Svante Janson, Stephan Wagner
For a complex number , we consider the sum of the th powers of subtree sizes in Galton--Watson trees conditioned to be of size . Limiting distributions of this functional…