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FWF Grant PAT3123425 October 2025 - March 2029

Project title: Sandpiles and walks.
Members of the project

• Julia Überbacher, PhD Student October 2025-March 2029.
• Postdoc: tba

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FWF Grant P34129: October 2021 - September 2025

Project title: Growth models and quasi-random walks
Members of the project

• Yuwen Wang, PostDoc October 2021-March 2024.
• Robin Kaiser, PhD Student March 2022-September 2025.
• Nadia Fellin, Intership Student January 2025-September 2025.

Publications resulting from the project

1. Tobias Fritz, Andreas Klingler, Drew McNeely, Areeb Shah-Mohammed, Yuwen Wang: Hidden Markov Models and the Bayes Filter in Categorical Probability. IEEE Transactions on Information Theory, doi: 10.1109/TIT.2025.3584695 (2025).


2. Laurent Saloff-Coste, Yuwen Wang: Expected hitting time estimates on finite graphs. Stochastic Processes and their Applications 185 (2025).


3. Konrad Kolesko and Ecaterina Sava-Huss: Gaussian fluctuations for the two urn model. Advances in Applied Probability 2025; 57(2): 607-641. doi


4. Nico Heizmann, Robin Kaiser, Ecaterina Sava-Huss: Sandpiles on the Vicsek fractal explode with probability 1/4. Bernoulli 31(3): 2484-2507 (2025).


5. Robin Kaiser and Ecaterina Sava-Huss: Scaling limit of the sandpile identity element on the Sierpinski gasket . Accepted for publication in From classical analysis to analysis on fractals: a tribute to Robert Strichartz, Volume 2, Applied and Numerical Harmonic Analysis, Birkhäuser; (2025), to appear.


6. Nico Heizmann, Robin Kaiser, Ecaterina Sava-Huss: Average height for Abelian sandpiles and the looping constant on Sierpinski graphs. Computational and Applied Mathematics 44, 227 (2025).


7. Robin Kaiser and Ecaterina Sava-Huss: Random rotor walks and i.i.d. sandpiles on Sierpinski graphs. Statistics and Probability Letters 209 (2024).


8. Uta Freiberg, Nico Heizmann, Robin Kaiser, Ecaterina Sava-Huss: Internal aggregation models with multiple sources and obstacle problems on Sierpinski gaskets. Journal of Fractal Geometry 11 (2024), no. 1/2, pp. 111–160.


9. Robin Kaiser, Ecaterina Sava-Huss, Yuwen Wang: Abelian sandpiles on Sierpinski gasket graphs. The Electronic Journal of Combinatorics 31(1) (2024), #P1.6


10. Konrad Kolesko and Ecaterina Sava-Huss: Limit theorems for discrete multitype branching processes counted with a characteristic. Stochastic Processes and their Applications 162 (2023), 49-75.


11. Daniela Bertacchi, Jürgen Kampf, Ecaterina Sava-Huss, Fabio Zucca
    An epidemic model in inhomogeneous environment.
    arXiv preprint. Markov Processes and Related Fields 28, Issue 3, 399-442 (2022).