Results 81 to 90 of about 189,122 (232)
The Martin boundary of an extension by a hyperbolic group
We prove uniform Ancona-Gou\"ezel-Lalley inequalities for an extension by a hyperbolic group $G$ of a Markov map which allows to deduce that the visual boundary of the group and the Martin boundary are H\"older equivalent. As application, we identify the
Bispo, Sara Ruth Pires +1 more
core
A Top-Down Account of Linear Canonical Transforms
We contend that what are called Linear Canonical Transforms (LCTs) should be seen as a part of the theory of unitary irreducible representations of the '2+1' Lorentz group.
Kurt Bernardo Wolf
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Hyperbolic hyperbolic-by-cyclic groups are cubulable
We show that the mapping torus of a hyperbolic group by a hyperbolic automorphism is cubulable. Along the way, we (i) give an alternate proof of Hagen and Wise's theorem that hyperbolic free-by-cyclic groups are cubulable, and (ii) extend to the case with torsion Brinkmann's thesis that a torsion-free hyperbolic-by-cyclic group is hyperbolic if and ...
Dahmani, François +2 more
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Coxeter groups and hyperbolic manifolds [PDF]
The rich theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperbolic n-manifolds. Combinatorial properties of finite images of these groups can be used to compute the volumes of the resulting manifolds. Three examples, in 4,5 and 6-dimensions, are given, each of very small volume, and in one case of smallest ...
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Nonexistence results for a pseudo-hyperbolic equation in the Heisenberg group
Sufficient conditions are obtained for the nonexistence of solutions to the nonlinear pseudo-hyperbolic equation $$ u_{tt} -\Delta_{\mathbb H} u_{tt}-\Delta_{\mathbb H} u=|u|^p, \quad (\eta, t) \in \mathbb{H} \times (0,\infty), \; p>1, $$ where
Mokhtar Kirane, Lakhdar Ragoub
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We compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
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The Impact of Global Transcriptional Regulation on Bacterial Gene Order
Summary: Bacterial gene expression depends on the allocation of limited transcriptional resources provided a particular growth rate and growth condition.
Pablo Yubero, Juan F. Poyatos
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Entanglement entropy and the colored Jones polynomial
We study the multi-party entanglement structure of states in Chern-Simons theory created by performing the path integral on 3-manifolds with linked torus boundaries, called link complements.
Vijay Balasubramanian +5 more
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The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations
In this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
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Hyperbolic generators for Fuchsian groups [PDF]
The standard system of generators for a Fuchsian group contains, in general, some elliptic and parabolic transformations. It is not, however, well known that one can always choose a system of generators consisting only of hyperbolic transformations.2 We will obtain this result by establishing a stronger statement: there exists a convex noneuclidean ...
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