# Johan Tykesson

### Postdoc

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
## Teaching

Sannolikhetsteori 1, kandidatprogrammet i matematik
## Coauthors

Itai Benjamini,
Pierre Calka,
Johan Jonasson,
Hubert Lacoin,
Eviatar Procaccia,
Oded Schramm,
Augusto Teixeira,
David Windisch.