Peter Mörters
Professor für angewandte Mathematik
Mathematisches Institut
Universität zu Köln
Weyertal 8690
50931 Köln
Germany
Telephone +492214702891
email: moerters(at)math.unikoeln.de
Contents
Research


Teaching
People
Teaching
Research
My main field of interest is probability theory. This includes large deviations, Brownian motion,
stochastic process in random media, random networks and applications of probability in analysis
and outside mathematics. I also have an interest in geometric measure theory, in particular
in connection with probability.
I am serving on the editorial board of
Journal of Theoretical Probability.
I was involved in the organisation of the following recent conferences:
Here is a list of my
coauthors with links if available.
Nathanaël Berestycki,
Volker Betz,
Jochen Blath,
Valentina Cammarota,
Xia Chen,
Andrea Collevecchio,
Donald Dawson,
Amir Dembo,
Steffen Dereich,
Kwabena DokuAmponsah,
Maren Eckhoff,
Klaus Fleischmann,
Nina Gantert,
Horacio González Duhart ,
Remco van der Hofstad,
Emmanuel Jacob,
Helen Joyce,
Richard Kiefer,
Adam Kinnison,
Achim Klenke,
Wolfgang König,
Daniela Krieg,
Andreas Kyprianou,
Hubert Lacoin,
Francis Lane,
Günter Last,
Cécile Mailler,
Sam Moore,
Christian Mönch,
Marcel Ortgiese,
Yuval Peres,
David Preiss,
István Redl,
Tim Rogers,
Scott Sheffield,
NarnRueih Shieh,
Nadia Sidorova,
Hermann Thorisson,
Daniel Ueltschi,
Pascal Vogt,
Vitali Wachtel,
Johannes Zimmer.
Here you find a list of my publications.
Books
Books edited

"Analysis and Stochastics of Growth Processes and Interface Models",
Edited by Peter Mörters, Roger Moser, Hartmut Schwetlick, Mathew Penrose and Johannes Zimmer.
Oxford University Press, 2008.

"Trends in Stochastic Analysis: A Festschrift in Honour of Heinrich v. Weizsäcker",
Edited by Jochen Blath, Peter Mörters and Michael Scheutzow.
Cambridge University Press, 2009.

"Fractal Geometry and Stochastics IV",
Edited by Christoph Bandt, Peter Mörters and Martina Zähle.
Birkhäuser, Progress in Probability Volume 61, 2009.


Papers published in journals (2011)
Papers published in books (2011)

The parabolic Anderson model with heavytailed potential.
In Surveys in Stochastic Processes.
Proceedings of the 33rd SPA Conference in Berlin, 2009.
Edited by J. Blath, P. Imkeller, and S. Roelly.
pp.6785. EMS Series of Congress Reports (2011).

A scaling limit theorem for the parabolic Anderson model with exponential potential
with Hubert Lacoin.
In Probability in complex physical systems. In Honour of Jürgen Gärtner
and Erwin Bolthausen.
Edited by J.D. Deuschel, B Gentz, W König, M von Renesse, M Scheutzow, and U Schmock.
pp.247271. Springer Proceedings in Mathematics, Vol. 11 (2012).

A spatial preferential attachment model with local clustering
with Emmanuel Jacob.
In Algorithms and Models for the Web Graph. Proceedings of the
10th International Workshop, WAW 2013, Cambridge, MA, USA.
Edited by A. Bonato, M. Mitzenmacher, P. Pralat.
pp 1425. Springer Lecture Notes in Computer Science, Vol. 8305 (2013).

Robustness of spatial preferential attachment networks
with Emmanuel Jacob.
In Algorithms and Models for the Web Graph. Proceedings of the
12th International Workshop, WAW 2015, Eindhoven, Netherlands.
Edited by D. Gleich, J. Komjathy, N. Litvak.
pp 314. Springer Lecture Notes in Computer Science, Vol. 9479 (2015).
Papers accepted for publication
Papers submitted for publication
Theses

"Ergodische Zerlegungen invarianter BaireMaße",
Diplomarbeit, Universität Kaiserslautern, (1991).

"Tangent Measure Distributions and the Geometry of Measures",
PhD thesis, University of London, (1995).

"Contributions to Fractal Geometry and Stochastic
Processes",
Habilitation thesis, Universität Kaiserslautern, (2001).
Popular maths
Technical reports, unpulished papers and extended abstracts

Selfsimilar random measures and tangent measure distributions,
Extended abstract. 5th Workshop on Probability Theory and its Applications, Bielefeld,
Germany, Februar 1999.

Pathwise KallianpurRobbins laws for Brownian motion in the plane.
Preprint 319. Fachbereich Mathematik, Universität Kaiserslautern.
The director's cut of Almost sure KallianpurRobbins laws with many spectacular extras.

A uniform dimension result for the Brownian snake
Preprint Nummer 478 in the Preprint series of WIAS Berlin.

Eine wahrscheinlichkeitstheoretische Untersuchung der KPPGleichung,
Wissenschaftlicher Vortrag im Rahmen des Habilitationsverfahrens, November 2001.

Benfords Gesetz über die Verteilung der Ziffern,
Habilitationsvorlesung, November 2001.

Intersection local time of Brownian motion: Tail behaviour and fractal applications.
Extended abstract. 4th Symposium on Levy processes: Theory and applications. Manchester (2005).

The universality classes in the parabolic Anderson model.
Extended abstract. Workshop on stochastic analysis and nonclassical random processes. Oberwolfach (2005).

Complete localisation in the parabolic Anderson model with Paretodistributed potential
Unpublished manuscript, with Wolfgang König and Nadia Sidorova (2006).

A class of random measures and their fractal geometry.
Extended abstract. Workshop on perspectives in stochastic geometry. Oberwolfach (2008).

Upper tail asymptotics for the intersection local times of random walks in high dimensions.
Extended abstract. Workshop 'Deviations pour les temps locaux d'autointersections'. Luminy (2010).
Actes des rencontres du CIRM 2 (2010) 2729.

A conditioning principle for GaltonWatson trees
Unpublished manuscript, with Nathanaël Berestycki and Nadia Sidorova.
Book reviews
Slides of selected talks
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Last updated by Peter Mörters on September 4th 2017.