Tsung-Hsuan Tsai

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Publications

• Density of random subsets and applications to group theory, arXiv: 2104.09192.
  In Journal of Combinatorial Algebra, volume 6, number 3/4 (2022). DOI: 10.4171/JCA/63.


• Freiheitssatz and phase transition for the density model of random groups, arXiv: 2111.08958.
  In Mathematische Zeitschrift, 303, 65 (2023). SharedIt link. DOI: 10.1007/s00209-022-03186-2.


• Phase transition for the existence of van Kampen 2-complexes in random groups, arXiv: 2210.08234.
  In Algebraic & Geometric Topology, volume 24, issue 7, 3897–3917 (2024). DOI: 10.2140/agt.2024.24.3897.
• Parallel geodesics and minimal stable length of random groups, arXiv: 2410.07859.
  In International journal of Algebra and Computation, Vol. 35, No. 08, pp. 1135-1158 (2025). DOI: 10.1142/S0218196725500377.

Preprints

In preperation

• Realizing uniformly recurrent subgroups with expansive actions, with Nicolás Matte Bon.