70 citations · 493 across the 79 of their papers we have counts for
5 papers · 2 filters
Long term behaviour of a reversible system of interacting random walks
Svante Janson, Vadim Shcherbakov, Stanislav Volkov
This paper concerns the long-term behaviour of a system of interacting random walks labeled by vertices of a finite graph. The model is reversible which allows to use the method of…
The hiring problem with rank-based strategies
Svante Janson
The hiring problem is studied for general strategies based only on the relative ranking of the candidates; this includes some well known strategies studied before such as hiring ab…
Patterns in random permutations avoiding some sets of multiple patterns
Svante Janson
We consider a random permutation drawn from the set of permutations of length that avoid some given set of patterns of length 3. We show that the number of occurrences of anoth…
Renewal theory for asymmetric -statistics
Svante Janson
We extend a functional limit theorem for symmetric -statistics [Miller and Sen, 1972] to asymmetric -statistics, and use this to show some renewal theory results for asymmetr…
A.s. convergence for infinite colour Pólya urns associated with random walks
Svante Janson
We consider Pólya urns with infinitely many colours that are of a random walk type, in two related version. We show that the colour distribution a.s., after rescaling, converges to…