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Center for Data and Simulation Science

The research focus of the group of Prof. Drewitz is probability theory. Prime research topics include the theory of percolation, random geometric structures, as well as transport processes in random media. Problems arising from these areas are investigated from a variety of points of view. In particular, techniques which also prove helpful in data science, such as concentration of measures phenomena and other tools from high dimensional probability theory, play a key role in their understanding.

Before joining the University of Cologne, Prof. Drewitz held positions as an ETH Fellow at ETH Zurich as well as a J.F. Ritt Assistant Professor at Columbia University.

Realization of a random potential as a functional of a stationary Ornstein-Uhlenbeck process

Selected publications

  1. A. Drewitz, A. Prévost, and P.-F. Rodriguez: "Critical exponents for a percolation model on transient graphs", preprint.
  2. A. Drewitz and L. Schmitz: "Invariance principles and Log-distance of F-KPP fronts in a random medium", preprint.
  3. A. Drewitz, A. Prévost, and P.-F. Rodriguez: "Geometry of Gaussian free field sign clusters and random interlacements", preprint.
  4. J. Černý and A. Drewitz: "Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model", Ann. Probab., 48, 1, 94–146 (2020).
  5. A. Drewitz, A. Prévost, and P.-F. Rodriguez: "The sign clusters of the massless Gaussian free field percolate on Zd, d ≥ 3 (and more)", Comm. Math. Phys., 362, 2, 513–546 (2018).
  6. A. Drewitz and D. Erhard: "Transience of the vacant set for near-critical random interlacements in high dimensions", Ann. Inst. Henri Poincaré, Probabilités et Statistiques, 52, no. 1, 84–101 (2016).
  7. A. Drewitz and P.-F. Rodriguez: "High-dimensional asymptotics for percolation of Gaussian free field level sets", Electron. J. Probab., 20, no. 47, 1–39 (2015).
  8. A. Drewitz, B. Ráth, and A. Sapozhnikov: "On chemical distances and shape theorems in percolation models with long-range correlations", J. Math. Phys., 55, 8, 083307 (2014).
  9. N. Berger, A. Drewitz, and A.F. Ramírez: "Effective polynomial ballisticity conditions for random walk in random environment", Comm. Pure Appl. Math., 67, 1947–1973 (2014).
  10. A. Drewitz and A.F. Ramírez: "Quenched exit estimates and ballisticity conditions for higher-dimensional random walk in random environment", Ann. Probab., 40, 2, 459–534 (2012).