The research output of our group will be posted here.
Papers/ accepted preprints
with Sebastian Hurtado and Jean Raimbault) Homotopy type and homology versus volume for arithmetic locally symmetric spaces, Inventiones mathematicae. (2025). https://doi.org/10.1007/s00222-025-01394-1, arxiv
(with Hee Oh) Zariski dense non-tempered subgroups in higher rank of nearly optimal growth, Journal für die reine und angewandte Mathematik (Crelles Journal), 2025. https://doi.org/10.1515/crelle-2025-0043 arXiv
Growth dichotomy for unimodular random rooted trees, M. Abert, M. Frączyk, B. Hayes, arXiv:2312.04611 (accepted in Annals of Probability)
Discrete subgroups with finite Bowen-Margulis-Sullivan measure in higher rank, M. Fraczyk, M. Lee (accepted in Geometry and Topology)
Co-spectral radius, equivalence relations and the growth of unimodular random rooted trees, M. Fraczyk, M. Abert, B. Hayes (accepted in Ergodic Theory and Dynamical Systems)
Preprints
Measurable splittings and the measured group theoretic structure of wreath products, R. Tucker-Drob, K. Wrobel, arXiv:2410.11754
Indistinguishability of cells for the ideal Poisson Voronoi tessellation: an answer and a question, S. Mellick, arXiv preprint arXiv:2408.10009
Automorphic density estimates and optimal Diophantine exponents, M. Fraczyk, A. Gorodnik, A. Nevo. arXiv preprint arXiv:2402.15875 (Feb 2024).
Spectral non-concentration near the top for unimodular random graphs, M. Fraczyk, B, Hayes, M. Sudan, Y. Zhao, arXiv:2401.07165 (Jan 2024)
Grants held by our members
MINIATURA 8 (NCN) "Geometric and measurable properties of units of the ring of affiliated operators" Konrad Wróbel