


1986  PhD, ETH Zürich, Switzerland  1986  1988  Irvine Visiting Assistant Professor, University of California, Irvine, CA, USA  1988  1991  Researcher, University of Bonn  1991  1992  Researcher, University of Bochum  1992  1995  Deputy Head, RG Interacting Random Systems, Weierstrass Institute for Applied Analysis and Stochastics, Berlin  1995  2008  Head, RG Interacting Random Systems, Weierstrass Institute for Applied Analysis and Stochastics, Berlin  1995  Habilitation, TU Berlin  2003  2008  Professor (C4), TU Berlin  Since 2008  Professor (W3), University of Bonn 


My research focuses on probability theory and its applications in physics and biology. A major topic I have been working on is the statistical mechanics of disordered systems, both from the equilibrium and the dynamical point of view. This requires in particular the analysis of the structure of the extreme values of the underlying random fields. The recent book [6] reviews a large body of work with various coauthors where we answered such questions in the context of certain Gaussian processes, in particular branching Brownian motion. A second topic is the theory of metastability, a common and important phenomenon occurring in nonlinear stochastic dynamics. We developed a new approach to the analysis of metastability, the socalled potential theoretic approach. The theory and numerous applications are presented and summarised in a recent monograph with Frank den Hollander [7].
In the coming years I plan to shift the focus of my interest more on problems from the life
sciences. We have already started to work on a class of interacting spatial branching processes in inhomogeneous environments that are motivated by the biological theory of adaptive dynamics, that attempts to describe the qualitative features of evolving biological populations.
A major result we obtained recently with Martina Baar and Nicolas Champagnat [4] is the derivation of the socalled canonical equation of adaptive dynamics in a joint limit of large populations, small mutation rates, and small mutation steps. Using similar models, we have also initiated a collaboration with oncologists on the modelling of the evolution of cancer under treatment [5]. This poses numerous challenging problems both with respect to modelling, and the mathematical analysis of these models.


[ 1] LouisPierre Arguin, Anton Bovier, Nicola Kistler
The extremal process of branching Brownian motion Probab. Theory Related Fields , 157: (34): 535574 2013[ 2] Anton Bovier, Lisa Hartung
Extended convergence of the extremal process of branching Brownian motion Ann. Appl. Probab. , 27: (3): 17561777 2017[ 3] Anton Bovier, Lisa Hartung
Variable speed branching Brownian motion 1. Extremal processes in the weak correlation regime ALEA Lat. Am. J. Probab. Math. Stat. , 12: (1): 261291 2015[ 4] Martina Baar, Anton Bovier, Nicolas Champagnat
From stochastic, individualbased models to the canonical equation of adaptive dynamics in one step Ann. Appl. Probab. , 27: (2): 10931170 2017[ 5] Martina Baar, Loren Coquille, Hannah Mayer, Michael Hölzel, Meri Rogava, Thomas Tüting, Anton Bovier
A stochastic model for immunotherapy of cancer Scientific Reports , 6: : 24169 2016[ 6] Anton Bovier
Gaussian processes on trees From spin glasses to branching Brownian motion of Cambridge Studies in Advanced Mathematics : x+200 Publisher: Cambridge University Press, Cambridge 2017 ISBN: 9781107160491[ 7] Anton Bovier, Frank den Hollander
Metastability A potentialtheoretic approach of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] : xxi+581 Publisher: Springer, Cham 2015 ISBN: 9783319247755; 9783319247779[ 8] Michael Hölzel, Anton Bovier, Thomas Tüting
Plasticity of tumour and immune cells: a source of heterogeneity and a cause for therapy resistance? Nat. Rev. Cancer , 13: (5): 365376 2013[ 9] Anton Bovier, Véronique Gayrard
Convergence of clock processes in random environments and ageing in the pspin SK model Ann. Probab. , 41: (2): 817847 2013[ 10] Anton Bovier
Statistical mechanics of disordered systems A mathematical perspective of Cambridge Series in Statistical and Probabilistic Mathematics : xiv+312 Publisher: Cambridge University Press, Cambridge 2006 ISBN: 9780521849913; 0521849918


2008  2012  Member of the Review Board for Mathematics, German Research Council  2008  2014  Member of the Selection Committee, Minerva Foundation  2009  Eurandom Chair, Technical University of Eindhoven, Netherlands  2010  Lady Davies Visiting Professor, Technion, Haifa, Israel  2012  Kloosterman Chair, Leiden University, Netherlands  2013  Elected Fellow, Institute of Mathematical Statistics  2014  2016  Member of the Award Committee for the “Heinz Maier Leibnitz Prize” of the German Research Foundation (DFG)  2015  2017  IMS Committee on Fellows 


2002  Professor, University of Groningen, Netherlands 


2006  Invited talk, International Congress of Mathematicians, Madrid, Spain  2010  Plenary talk, Annual meeting of German Mathematical Society, Munich  2014  Plenary talk, 37th Conference on Stochastic Processes and their Applications, Buenos Aires, Argentina 


• Journal of Statistical Physics (Editorial Board, 1996  1999)
• Markov Processes and Related Fields (Editorial Board, since 1996)
• Electronic Journal of Probability (Editorial Board, 2006  2014)
• Electronic Communications in Probability (Editorial Board, 2006  2014, Chief Editor, 2012  2014)
• Annales Henri Poincaré (Editorial Board, since 2012)
• ALEA, Brazilian Journal of Probability (Editorial Board, since 2013)


DFG Priority Program SPP 1590 “Probabilistic structures in evolution”
Project leader, since 2012
DFG Collaborative Research Center CRC 1060 “The Mathematics of Emergent Effects”
Project leader, since 2013
DFG Cluster of Excellence “ImmunoSensation”
Principal Investigator, since 2014
DFG Cluster of Excellence “Hausdorff Center for Mathematics”
Principal Investigator, since 2014


Research Area G A focal point of research is the analysis of extremal structures of random processes, in particular branching Brownian motion (BBM) and its variants. The main results here were the identification of the full extremal process for standard (BBM) [1,2] and for variable speed BBM in the low correlation regime [3]. These results are motivated by and relevant for our understanding of equilibrium and dynamic properties of disordered systems such as spin glasses.
In another line of work we studied scaling limits for interacting special branching process that are arise in modelling of the evolution of biological populations, in biology described as adaptive dynamics. A major achievement here was the rigorous derivation of the socalled canonical equation of adaptive dynamics in a simultaneous limit of large population, small mutation rate and small mutation steps [4]. Similar models were also used in cooperation with experimental partners to model processes occurring in immunotherapy of cancer [5]. 


Véronique Gayrard (2000), now Directeur de Recherche, CNRS, Marseille, France
Christof Külske (2001), now Professor, University of Bochum
Barbara Gentz (2003), now Professor, University of Bielefeld
Irina Kourkova (2004), now Professor, University of Paris VI, France


Véronique Gayrard (1992),
now Directeur de Recherche, CNRS, Marseille, France
Christof Külske (1993): “Renormierungsgruppenanalyse zur Untersuchung der Stabilität von Oberflächen in ungeordneten Medien”,
now Professor, University of Bochum
Anton Klimovsky (2008): “Sums of Correlated Exponentials: Two Types of Gaussian Correlation Structures”,
now Lecturer, University of DuisburgEssen
Martin Slowik (2012): “Contributions to the Potential Theoretic Approach to Metastability with Applications to the Random Field CurieWeissPotts Model”,
now Researcher, TU Berlin
Giacomo di Gesù (2013): “Semiclassical spectral analysis of discrete Witten Laplacians”,
now École Nationale des Ponts et Chaussées, Paris, ChampssurMarne, France
Adela Svejda (2014): “Contributions to the study of ageing in disordered systems”,
now Raiffeisenbank, Zürich, Switzerland
Hannah Mayer (2016): “Contributions to Stochastic Modelling in the Immune System”,
now Researcher, Bayer Research, Wuppertal
Patrick Müller (2016): “Hydrodynamic Limit, Propagation of Chaos, Energy Landscape and Large Deviations”,
now Boston Consulting
Lisa Hartung (2016): “Brownian motion and friends”,
now Courant Instructor, New York University, NY, USA
Martina Baar (2017): “Stochastic, individualbased models and macroscopic approximations for adaptive dynamics with applications in cancer immunotherapy”,
now Postdoc, University of Bonn
Rebecca Ströfer (2017): “The fate of a recessive allele in a Mendelian diploid Model”


 Master theses: 14
 Diplom theses: 18
 PhD theses: 17, currently 3


Download Profile 