[ google scholar ] [ ORCID ] [ researcherID ]

## Published/submitted

**Stochastic models of inhomogeneous complex systems: Emergence of multi-scale hierarchies.**Habilitation Thesis. University of Duisburg-Essen. 2020 [ PDF, library version ]**Markovian dynamics of exchangeable arrays**. With Jiří Černý.*In:*Genealogies of Interacting Particle Systems. Ed. by M. Birkner, R. Sun, and J. Swart. Vol. 38. IMS LNS. World Scientific, 2020. [ PDF, arXiv ]**The phase diagram of the complex branching Brownian motion energy model**. With Lisa Hartung. Electron. J. Probab. 23 (127), 27 pp. 2018. [ PDF, arXiv, journal version ]**The hierarchical Cannings process in random environment**. With Andreas Greven, Frank den Hollander. ALEA, Lat. Am. J. Probab. Math. Stat. 15, 295-351, 2018. [ PDF, arXiv ]**The glassy phase of the complex branching Brownian motion energy model**. With Lisa Hartung. Electron. Commun. Probab. 20 (78), 1–15. 2015. [ PDF, arXiv, journal version ]**Gaussian fluctuations in generalized random energy model at complex temperatures**. With Zakhar Kabluchko. Submitted. 2015. [ PDF, arXiv ]**Generalized random energy model at complex temperatures**. With Zakhar Kabluchko. Submitted. 2014. [ PDF, arXiv ]**Renormalisation of hierarchically interacting Lambda-Cannings processes**. With Andreas Greven, Frank den Hollander, Sandra Kliem. ALEA, Lat. Am. J. Probab. Math. Stat. 11 (1), 43–140. 2014. [ PDF, arXiv ]**Complex Random Energy Model: Zeros and Fluctuations**. With Zakhar Kabluchko. Prob. Theor. and Rel. Fields. 158. Pages 159-196. 2014. [ PDF, arXiv, journal version, EURANDOM report ]**High-dimensional Gaussian fields with isotropic increments seen through spin glasses**. Electron. Commun. Probab. 17. 2012. [ PDF, journal version, arXiv, EURANDOM report ]**Towards renormalisation of the hierarchically interacting heavy-tailed Lambda-Cannings models**. Oberwolfach Reports, 8(1):806–809, March 2011. [ journal version ].**The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins**. With Anton Bovier. Electron. J. Probab. 14. Pages 161-241. 2009. [ PDF, arXiv, journal version ]**Fluctuations of the partition function in the GREM with external field**. With Anton Bovier. J. Math. Phys. 49 (1), 125202, 2008. [ PDF, arXiv, journal version ]**Sums of correlated exponentials: two types of Gaussian correlation structures**. Ph.D. thesis. Berlin University of Technology. June 2008. [ PDF, abstract ]**The Aizenman-Sims-Starr scheme for the SK model with multidimensional spins**. 2007. With Anton Bovier. [ PDF, arXiv ]**Learning and generalization errors for the 2D binary perceptron**. Mathematical and Computer Modelling, Volume 42, Issues 11-12, December 2005, Pages 1339-1358. [ journal version ]

## Talks

**Scaling and ergodic analysis of spatial Cannings models**. 11th German Probability and Statistics Days, March 4–7, 2014, Ulm, Germany.**Probabilistic Analysis of Random Energy Models**. Symmetries and Universality in Mesoscopic Systems, November 3–7, 2013, Langeoog, Germany.**Renormalization of hierarchically interacting Lambda-Cannings processes**. Cornell Probability Summer School 2012, Ithaca, NY.**STOchastically skewed evolution: clustering vs. local coexistence**. EURANDOM, June 7, 2012, Eindhoven.**Multi-scale analysis of hierarchically interacting Λ-Cannings processes**. 10th German Probability and Statistics Days. March 8, 2012. Mainz.**Large scale behaviour of Cannings' model on hierarchical group and in continuum**, AG Stochastik und Dynamische Systeme, November 17, 2011, Erlangen.**Renormalisation of hierarchically interacting Lambda-Cannings processes**, Universiteit Leiden, November 1, 2011, Leiden.**Rather conventional Gaussian random fields in the light of spin glasses**, University of Duisburg-Essen, October 18, 2011, Essen.**Renormalisation of hierachically interacting Lambda-Cannings processes in the mean-field limit**, 5th International Conference on Stochastic Analysis and its Applications, September 5–9, 2011, Bonn.**Free energy of a particle in high-dimensional Gaussian potentials with isotropic increments**, 2011 School on Mathematical Statistical Physics, August 29–September 9, 2011, Prague.**High-dimensional Gaussian random fields with isotropic increments seen through spin glasses**, Extreme Value Statistics in Mathematics, Physics and Beyond, July 4–8, 2011, Leiden.**Gaussian random fields with isotropic increments seen through spin glasses**, June 13–17, 2011, Firenze.**Interacting particle systems and renormalisation group**, May 26 + June 02, 2011, Institute for low temperature physics, Kharkiv.**Multi-scale analysis of the hierarchically interacting heavy-tailed Cannings models**, May 2–13, 2011, Institute for Mathematical Sciences, Singapore.**Towards renormalisation of the hierarchically interacting heavy-tailed Lambda-Cannings models**, March 13–19, 2011, Oberwolfach.**High-dimensional Gaussian fields with isotropic increments: cascades and Parisi-type formulae**, Séminaire Probabilités et Statistiques, January 28, 2011, Marseille.**Hierarchically interacting spatial Lambda-Fleming-Viot processes**, HIM Junior Trimester Program on Stochastics, November 29, 2010, Bonn.**Extremes and exponential functionals of high-dimensional Gaussian processes with isotropic increments: comparison with cascades**, AG Stochastik und Dynamische Systeme, November 25, 2010, Erlangen.**Parisi-type formulae as traces of hierarchical self-organization in range-free spin glasses with Gaussian Hamiltonians**, HIM Junior Trimester Program on Stochastics, November 16, 2010, Bonn.**Universal macroscopic behavior of evolving genealogies of spatial Lambda-Fleming-Viot processes**, Forschungsseminar der Arbeitsgruppe Stochastik, October 26, 2010, Essen.**High-dimensional Gaussian fields with isotropic increments**, Disordered systems and extreme value statistics, September 16, 2010, Bonn. Slides.**Extremes and emergence of hierarchies in high-dimensional Gaussian random fields**, 73rd Annual Meeting of the Institute of Mathematical Statistics, August 10, 2010, Gothenburg.**Extremes of high-dimensional Gaussian random fields with isotropic increments**, PIMS summer school in probability, July 07, 2010, Seattle.**Extremes and emergence of hierarchies in high-dimensional Gaussian random fields**, Stochastics Colloquium, Universiteit Utrecht, May 6, 2010.**Parisi's hierarchical replica symmetry breaking for high-dimensional Gaussian processes with isotropic increments**, 9th German Open Conference on Probability and Statistics, March 4, 2010, Leipzig.**Short-, critical- (logarithmic) and long-range correlations in high-dimensional Gaussian random fields with isotropic increments**, Oberseminar Wahrscheinlichkeitstheorie, TU München / Ludwig-Maximilian Universität München, January 25, 2010, München.**Around one-and-a-half Parisi-type formulae for the free energy**, Statistical Mechanics on Random Structures, November 15–20, 2009, BIRS, Banff, Canada.**High-dimensional random fields with stationary isotropic increments: the Parisi picture**, The 33rd Conference on Stochastic Processes and Their Applications, July 27–31, TU Berlin.**Parisi landscapes on high-dimensional Euclidean spaces**, Workshop "Mathematical Models from Physics and Biology", April 01–04, Hausdorff center for mathematics, Bonn.**Hierarchical self-organisation in the Sherrington-Kirkpatrick model with multidimensional spins**, Statistical Mechanics Workshop, December 8–12, 2008, IHP, Paris.**Hierarchical self-organisation in some non-hierarchically interacting high-dimensional random systems**, BRG meeting, ESI, October 2–3, 2008, Vienna**Limiting behaviour of large sums of strongly correlated exponentials**, Oberseminar Mathematische Statistik, TU München, July 09, Garching, 2008.**Hierarchical structures in the large sums of non-hierarchically correlated random exponentials**, EURANDOM, July 04, Eindhoven, 2008.**Sums of correlated exponentials: two types of Gaussian correlation structures**, Kolloquium des mathematischen Instituts, Universität Erlangen, June 26, Erlangen, 2008.**Estimates of Guerra's remainder term in the SK model with multidimensional spins**, YEP 2008, March 13, Eindhoven, 2008.**Free energy in the Sherrington-Kirkpatrick model with multidimensional spins**, Berlin-Leipzig Seminar, Max Planck Institute for Mathematics in the Sciences, December 7, Leipzig, 2007.**The Aizenman-Sims-Starr scheme for the multidimensional SK model**, The 5^th^ Prague Summer School on Mathematical Statistical Mechanics, September 10-23, Prague, 2006.**The Aizenman-Sims-Starr scheme for the vector SK model**, Frankfurter Stochastik-Tage 2006, Frankfurt, 14-17.03.2006.