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.

Books

Here you find a list of books I cowrote or co-edited.

Papers published in journals (2011-)

Papers published in books (2011-)

  • The parabolic Anderson model with heavy-tailed 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.67-85. 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 Gärtnerand Erwin Bolthausen.
    Edited by J.-D. Deuschel, B Gentz, W König, M von Renesse, M Scheutzow, and U Schmock.
    pp.247--271. 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 the10th International Workshop, WAW 2013, Cambridge, MA, USA.
    Edited by A. Bonato, M. Mitzenmacher, P. Pralat.
    pp 14--25. 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 3--14. Springer Lecture Notes in Computer Science, Vol. 9479 (2015).
  • Transience vs recurrence for scale-free spatial networks with Peter Gracar, Markus Heydenreich, Christian Mönch.
    In Algorithms and Models for the Web Graph. Proceedings of the 17th International Workshop, WAW 2020, Warsaw, Poland.
    Edited by B. Kaminski, P. Pralat, P. Szufel.
    pp 96--110. Springer Lecture Notes in Computer Science, Vol. 12091 (2020).

Papers submitted for publication

Theses

  • Ergodische Zerlegungen invarianter Baire-Maße,
    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

Book reviews

Slides of selected talks

Academic Service

I am serving on the editorial board of Journal of Theoretical Probability.

I was involved in the organisation of the following recent conferences: