Let $M=\Gamma\backslash\mathrm{PSL}(2,\mathbb{R})$ be a compact manifold, and let $f\in C^\infty(M)$ be a function of zero average. We use spectral methods to get uniform (i.e. independent of spectral gap) bounds for twisted averages of $f$ along long horocycle orbit segments. We apply this to obtain an equidistribution result for sparse subsets of horocycles on $M$
This work addresses the Prime Geodesic Theorem for the Picard manifold $\mathcal{M} = \mathrm{PSL}_{...
Let $(M,g)$ denote a smooth, compact Riemannian manifold, without boundary of dimension $n \geq 2$. ...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
Let M=Γ∖PSL(2,R) be a compact manifold, and let f∈C∞(M) be a function of zero average. We use spectr...
Let G = SL(2, R) n, let Γ = Γn 0 , where Γ0 is a co-compact lattice in SL(2, R), let F(x) be a n...
Let $\Gamma$ be a non-uniform lattice in $\operatorname{PSL}(2,\mathbb R)$. In this note, we show th...
The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hyperbolic d...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
This is the final version. Available on open access from Springer via the DOI in this recordWe inves...
Let (M,g) be a compact Riemannian surface. Consider a family of L2 normalized Laplace–Beltrami eigen...
For a compact hyperbolic surface, we define a smooth linear statistic, mimicking the number of Lapla...
We investigate bounds on integrals of $L^2$-normalized Laplace eigenfunctions over curves in compact...
AMS Mathematics Subject Classification: 37D40, 22E40, 46F20We show that the invariant distributions ...
There are infinitely many distributional obstructions to the existence of smooth solutions for the c...
Let Λ⊂R be a uniformly discrete sequence and S⊂R a compact set. We prove that if there exists a boun...
This work addresses the Prime Geodesic Theorem for the Picard manifold $\mathcal{M} = \mathrm{PSL}_{...
Let $(M,g)$ denote a smooth, compact Riemannian manifold, without boundary of dimension $n \geq 2$. ...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
Let M=Γ∖PSL(2,R) be a compact manifold, and let f∈C∞(M) be a function of zero average. We use spectr...
Let G = SL(2, R) n, let Γ = Γn 0 , where Γ0 is a co-compact lattice in SL(2, R), let F(x) be a n...
Let $\Gamma$ be a non-uniform lattice in $\operatorname{PSL}(2,\mathbb R)$. In this note, we show th...
The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hyperbolic d...
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integral...
This is the final version. Available on open access from Springer via the DOI in this recordWe inves...
Let (M,g) be a compact Riemannian surface. Consider a family of L2 normalized Laplace–Beltrami eigen...
For a compact hyperbolic surface, we define a smooth linear statistic, mimicking the number of Lapla...
We investigate bounds on integrals of $L^2$-normalized Laplace eigenfunctions over curves in compact...
AMS Mathematics Subject Classification: 37D40, 22E40, 46F20We show that the invariant distributions ...
There are infinitely many distributional obstructions to the existence of smooth solutions for the c...
Let Λ⊂R be a uniformly discrete sequence and S⊂R a compact set. We prove that if there exists a boun...
This work addresses the Prime Geodesic Theorem for the Picard manifold $\mathcal{M} = \mathrm{PSL}_{...
Let $(M,g)$ denote a smooth, compact Riemannian manifold, without boundary of dimension $n \geq 2$. ...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
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