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pro vyhledávání: '"Lachman, Guy"'
Let $S$ be a compact hyperbolic surface of genus $g\geq 2$ and let $I(S) = \frac{1}{\mathrm{Vol}(S)}\int_{S} \frac{1}{\mathrm{Inj}(x)^2 \wedge 1} dx$, where $\mathrm{Inj}(x)$ is the injectivity radius at $x$. We prove that for any $k\in \{1,\ldots, 2
Externí odkaz:
http://arxiv.org/abs/2407.21780
Publikováno v:
Comb. Number Th. 13 (2024) 207-224
We introduce a novel concept in topological dynamics, referred to as $k$-divergence, which extends the notion of divergent orbits. Motivated by questions in the theory of inhomogeneous Diophantine approximations, we investigate this notion in the dyn
Externí odkaz:
http://arxiv.org/abs/2307.09054
Autor:
Lachman, Guy, Regavim, Shvo
$k$-level correlation is a local statistic of sequences modulo 1, describing the local spacings of $k$-tuples of elements. For $k = 2$ this is also known as pair correlation. We show that there exists a well spaced increasing sequence of reals with a
Externí odkaz:
http://arxiv.org/abs/2109.05379