Jérémie Brieussel Homepage

Publications

Furstenberg entropy spectra of stationary actions of semisimple Lie groups, with Tianyi Zheng, arxiv.org/abs/2307.01495.

Noise sensitivity of random walks on groups, with Itaï Benjamini. ALEA, Lat. Am. J. Probab. Math. Stat. 20, 1139-1164 (2023)

Numerical upper bounds on growth of automata groups, with Thibault Godin and Bijan Mohammadi, International Journal of Algebra and Computation 32 n.1, 159-191 (2022), implemented in Gap code and optimization(zip-file).

Speed of random walks, isoperimetry and compression of finitely generated groups, with Tianyi Zheng, Ann. of Math. (2) 193 n.1, 1-105 (2021).

Random walks on the discrete affine group, with Ryokichi Tanaka and Tianyi Zheng, Groups Geometry Dynamics 15 n.3, 935-963 (2021).

Shalom's property H_FD and extensions by Z of locally finite groups, with Tianyi Zheng, Israel J. Math 230, 45-70 (2019).

An automata group of intermediate growth and exponential activity, Journal of Group Theory 21 (4), pp. 573-578 (2018).

Connectedness of spheres in Cayley graphs, with Antoine Gournay, Algebra and Discrete Mathematics 26 (2018), pp. 190-246.

About the speed of random walks on solvable groups, arXiv:1505.03294.

Discrete random walks on the group Sol, with Ryokichi Tanaka, Israel Journal of Mathematics, Vol. 208, no. 1 (2015) pp. 291-321.

Folner sets of alternate directed groups, Annales de l'Institut Fourier, Vol. 64 no.3 (2014) pp. 1109-1130.

Behaviors of entropy on finitely generated groups, Annals of Probability, Vol. 41 no.6 (2013) pp. 4116-4161.

Growth behaviors in the range e^(r^a), Afrika Matematika, Vol. 25 no.4 (2014) pp. 1143-1163.

Amenability and non-uniform growth of some directed automorphism groups of a rooted tree, Mathematische Zeitschrift, Vol. 263 no.2 (2009) pp. 265-293.

Doctoral thesis: Croissance et moyennabilité de certains groupes d'automorphismes d'un arbre enraciné, Diderot university Paris 7, 2008. (Introduction and chapter 4 are in French, chapters 1, 2 and 3 are in English.)