Antti Kemppainen

Ph.D., Researcher
(Université Paris-sud XI)

Email: firstname.h.lastname(at)helsinki.fi
Personal Homepage:
Telephone: -
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Mailing Address:
Département de Mathématiques
Bât. 425
Université Paris-Sud
91405 Orsay Cedex
France

Visiting Address: -

Scientific Activities:

I defended my Ph.D. thesis "On Random Planar Curves and Their Scaling Limits" in October 2009. My advisers were Antti Kupiainen and Stanislav Smirnov (Université de Genève). The thesis included the articles 1.-3., listed below.

My research interest are in probability, statistical physics and different branches of mathematical analysis. More concretely, I have been studying several Schramm-Loewner evolution (SLE) related things. Maybe the most interesting part of the subject is establishing the connection between interfaces in discrete models and SLEs, which are natural scaling limits at criticality.

Currently I work in Paris with Wendelin Werner. My web page at Université Paris-Sud.

Figure: The scaling limit of this curve is SLE(16/3).

Publications:

1. K.Kytölä and A.Kemppainen: SLE Local Martingales, Reversibility and Duality. (2006) Journal of Physics A: Mathematical and General Vol. 39 No. 46 L657-L666. (c) copyright 2006 IOP Publishing Ltd. Preprint version: [arXiv:math-ph/0605058]

Preprints and articles in preparation:

2. A.Kemppainen: Stationarity of SLE. (2009) submitted to Journal of Statistical Physics. Preprint version: [arXiv:0910.5832v1 [math-ph]]

3. A.Kemppainen and Stanislav Smirnov: Random curves, scaling limits and Loewner evolutions (2009) in preparation.

Ph.D. thesis and Master's thesis:

4. A. Kemppainen: On Random Planar Curves and Their Scaling Limits. Ph.D. thesis (2009), University of Helsinki.

5. A. Kemppainen: Uniform Spanning Tree and the Scaling Limit. Master's thesis (2004), Helsinki University of Technology.