Johan Tykesson

Department of mathematics
Uppsala University

Email: johan.tykesson 'at' math.uu.se

Research

My research is within probability theory, in particular percolation theory. Here are some recent papers and preprints:

Connectedness of Poisson cylinders in Euclidean space, (joint work with Erik I. Broman). (Preprint, version of 23rd of April 2013).
On the easiest way to connect k points in the random interlacements process, (joint work with Hubert Lacoin). (Preprint, version of 5th of June 2012).
Random interlacements and amenability, (joint work with Augusto Teixeira). To Appear in Annals of Applied Probability.
Geometry of the random interlacement , (joint work with Eviatar Procaccia). Electronic Communications in Probability 16 (2011), 528-544.
Percolation in the vacant set of Poisson cylinders , (joint work with David Windisch). To appear in Probability Theory and Related Fields.
Asymptotics of visibility in the hyperbolic plane , (joint work with Pierre Calka).
Visibility to infinity in the hyperbolic plane, despite obstacles , (joint work with Itai Benjamini, Johan Jonasson and Oded Schramm) ALEA. Latin American Journal of Probability and Mathematical Statistics 6 (2009), 323-342.

Here is my Ph.D. thesis from 2008: Thesis