Zobrazeno 1 - 4
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pro vyhledávání: '"Calderón, Irving"'
We establish a spectral gap for resonances of the Laplacian of random Schottky surfaces, which is optimal according to a conjecture of Jakobson and Naud.
Externí odkaz:
http://arxiv.org/abs/2407.21506
Autor:
Calderón, Irving, Magee, Michael
Let $\Gamma$ be a Schottky subgroup of $\mathrm{SL} (2,\mathbb{Z})$. We establish a uniform and explicit lower bound of the second eigenvalue of the Laplace-Beltrami operator of congruence coverings of the hyperbolic surface $\Gamma \backslash \mathb
Externí odkaz:
http://arxiv.org/abs/2303.17950
Autor:
Calderón, Irving
Let $S = \{ \infty \} \cup S_f$ be a finite set of places of $\mathbb{Q}$. Using homogeneous dynamics, we establish two new quantitative and explicit results about integral quadratic forms in three or more variables: The first is a criterion of $S$-i
Externí odkaz:
http://arxiv.org/abs/2202.10257
Publikováno v:
In Topology and its Applications 15 April 2017 221:440-448
