Kleinian Schottky groups, Patterson–Sullivan measures, and Fourier decay
Let Γ be a Zariski-dense Kleinian Schottky subgroup of PSL 2 (C). Let Λ Γ⊂ C be its limit set,
endowed with a Patterson–Sullivan measure μ supported on Λ Γ. We show that the Fourier …
endowed with a Patterson–Sullivan measure μ supported on Λ Γ. We show that the Fourier …
The fundamental inequality for cocompact Fuchsian groups
We prove that the hitting measure is singular with respect to the Lebesgue measure for
random walks driven by finitely supported measures on cocompact, hyperelliptic Fuchsian …
random walks driven by finitely supported measures on cocompact, hyperelliptic Fuchsian …
Counting cusp excursions of reciprocal geodesics
A Basmajian, RS Valli - arXiv preprint arXiv:2402.10437, 2024 - arxiv.org
arXiv:2402.10437v1 [math.GT] 16 Feb 2024 Page 1 Counting cusp excursions of reciprocal
geodesics Ara Basmajian and Robert Suzzi Valli Dedicated to Ravi S. Kulkarni on his 80th …
geodesics Ara Basmajian and Robert Suzzi Valli Dedicated to Ravi S. Kulkarni on his 80th …
Low-lying geodesics on the modular surface and necklaces
A Basmajian, M Liu - arXiv preprint arXiv:2311.16041, 2023 - arxiv.org
The m-thick part of the modular surface X is the smallest compact subsurface of X with
horocycle boundary containing all the closed geodesics which wind around the cusp at most …
horocycle boundary containing all the closed geodesics which wind around the cusp at most …
Fundamental inequality for hyperbolic Coxeter and Fuchsian groups equipped with geometric distances
P Kosenko - International Mathematics Research Notices, 2021 - academic.oup.com
Fundamental Inequality for Hyperbolic Coxeter and Fuchsian Groups Equipped with Geometric
Distances | International Mathematics Research Notices | Oxford Academic Skip to Main …
Distances | International Mathematics Research Notices | Oxford Academic Skip to Main …
Harmonic measures for random walks on cocompact Fuchsian groups
P Kosenko - 2023 - search.proquest.com
Harmonic measures for random walks on cocompact Fuchsian groups by Petr Kosenko A
thesis submitted in conformity with the requir Page 1 Harmonic measures for random walks …
thesis submitted in conformity with the requir Page 1 Harmonic measures for random walks …
The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups
M Dussaule, W Yang - Transactions of the American Mathematical Society …, 2023 - ams.org
The paper studies the Hausdorff dimension of harmonic measures on various boundaries of
a relatively hyperbolic group which are associated with random walks driven by a probability …
a relatively hyperbolic group which are associated with random walks driven by a probability …
Stationary measures on the circle from hyperbolic surfaces with cusps cannot be straightened by quasi-symmetries
A Azemar, V Gadre - arXiv preprint arXiv:2311.09973, 2023 - arxiv.org
Stationary measures on the circle that arise from a large class of random walks on the
fundamental group of a finite-area complete hyperbolic surface with cusps are singular with …
fundamental group of a finite-area complete hyperbolic surface with cusps are singular with …
Winding of geodesic rays chosen by a harmonic measure
T Bénard - Mathematische Annalen, 2024 - Springer
Winding of geodesic rays chosen by a harmonic measure | Mathematische Annalen Skip to
main content SpringerLink Account Menu Find a journal Publish with us Track your research …
main content SpringerLink Account Menu Find a journal Publish with us Track your research …
Asymptotic geometric and probabilistic properties of Teichmüller space
A Azemar - 2024 - theses.gla.ac.uk
Teichmüller spaces play a pivotal role in the study of dynamics, geometric group theory and
conformal geometry. In this thesis we study several geometric and probabilistic aspects of …
conformal geometry. In this thesis we study several geometric and probabilistic aspects of …