Group theory: growth of groups, groups defined by automata, iterated monodromy groups, topological full groups
Dynamical systems: symbolic dynamics, semi/groups acting on Cantor sets, holomorphic dynamics, hyperbolic dynamics, étale groupoids
Probability: random walks on groups/Schreier graphs
[2] Zheng Kuang, Growth of finitely generated subgroups of the topological full groups of inverse semigroups of bounded type, 09.2024, arXiv:2409.19491
[1] Zheng Kuang, Growth of groups with incompressible elements I, 02.2024, to appear in Groups Geom. Dyn., preliminary version: arXiv:2402.16238
supplementary to my research at TAMU
Growth of groups: beamer
A group possibly with exponential growth: pdf (Last update: Dec 22, 2021)
Notes on Poincaré metrics: pdf
Some clarifications on groups with purely non-Hausdorff singularities: pdf
Another example of using orbital graphs to find incompressible elements: pdf
Survey on intermediate growth: slides (presented to GSO on 9/21/2023)
Growth of groups with finitely many incompressible elements: slides, scripts recorded
Research Statement: pdf
Smale spaces and groups of intermediate growth: poster
Ph.D. defense: slides
supplementary to my research at SCUT
A gentle introduction to Groups and Dynamics: pdf