Zobrazeno 1 - 10
of 785
pro vyhledávání: '"Thomas, Joe"'
Autor:
Hide, Will, Thomas, Joe
We study topological lower bounds on the number of small Laplacian eigenvalues on hyperbolic surfaces. We show there exist constants $a,b>0$ such that when $(g+1)
Externí odkaz:
http://arxiv.org/abs/2410.06093
Autor:
Hide, Will, Thomas, Joe
We study the geometry and spectral theory of Weil-Petersson random surfaces with genus-$g$ and $n$ cusps in the large-$n$ limit. We show that for a random hyperbolic surface in $\mathcal{M}_{g,n}$ with $n$ large, the number of small Laplacian eigenva
Externí odkaz:
http://arxiv.org/abs/2312.11412
Autor:
Magee, Michael, Thomas, Joe
We prove using a novel random matrix model that all right-angled Artin groups have a sequence of finite dimensional unitary representations that strongly converge to the regular representation. We deduce that this result applies also to: the fundamen
Externí odkaz:
http://arxiv.org/abs/2308.00863
Autor:
Hide, Will, Thomas, Joe
We study the number of short geodesics and small eigenvalues on Weil-Petersson random genus zero hyperbolic surfaces with $n$ cusps in the regime $n\to\infty$. Inspired by work of Mirzakhani and Petri \cite{Mi.Pe19}, we show that the random multi-set
Externí odkaz:
http://arxiv.org/abs/2209.15568
Publikováno v:
Commun. Math. Phys. 402, 3021-3044, 2023
A finite group $G$ is called $C$-quasirandom (by Gowers) if all non-trivial irreducible complex representations of $G$ have dimension at least $C$. For any unit $\ell^{2}$ function on a finite group we associate the quantum probability measure on the
Externí odkaz:
http://arxiv.org/abs/2204.10642
Autor:
Monk, Laura, Thomas, Joe
This article introduces the notion of L-tangle-free compact hyperbolic surfaces, inspired by the identically named property for regular graphs. Random surfaces of genus g, picked with the Weil-Petersson probability measure, are (a log g)-tangle-free
Externí odkaz:
http://arxiv.org/abs/2008.09363
Let $f\colon X\to X$ be a continuous function on a compact metric space. We show that shadowing is equivalent to backwards shadowing and two-sided shadowing when the map $f$ is onto. Using this we go on to show that, for expansive surjective maps the
Externí odkaz:
http://arxiv.org/abs/2002.11199