Stochastics
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The focus of the Stochastics Group on Innsbruck is mainly on random processes on infinite discrete structure such as graphs and groups, or objects with selfsimilar properties (fractals).
Team
Ecaterina Sava-Huss(Professor)
Research interests: interplay between structural and geometrical properties of infinite graphs and the behavior of random walks and of rotor walks (derandomized versions of random walks) on these graphs. Other research topics: internal aggregation models (IDLA, rotor-router aggregation, sandpile models) on fractal graphs and other state spaces.
Alexander Glazman(Professor)
Research interests: Phase transitions and scaling limits in lattice models of Statistical Mechanics. Among these models are percolation and FK-percolation, Ising and Ashkin-Teller models, loop O(n) and six-vertex models, integer-valued height functions, self-avoiding walk, and others. These models are inter-connected via graphical representations. We mix probabilistic techniques (positive correlation inequalities) with exact integrability (Yang-Baxter equation, holomorphic observables).
Hanna Oppelmayer(Postdoc)
Research interests: Random walks on topological (semi)groups or graphs and their limit behaviour, in particular, Poisson boundaries and ergodic stationary measure spaces. Entropy theory in these settings.
Email: Hanna.Oppelmayer@uibk.ac.at
Ulrik Hansen(Postdoc)
Research interests: All things percolation, in particular the rich interplay between the graphical representations of the Ising model. I also dabble in loop O(n) models and self-avoiding walk.
Email: Ulrik.Hansen@uibk.ac.at
Nicolas Bouchot(Postdoc)
Research interests: Random walks on the lattice or percolative structures, random interlacements and large deviations, scaling limits of polymer models and their link to PDEs.
Email: nicolas.bouchot@uibk.ac.at
Maran Mohanarangan (PhD student at University of Innsbruck and University of Fribourg)
Email: maran.mohanarangan@unifr.ch