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We propose a one-dimensional Floquet ladder that possesses two distinct topological transport channels with opposite directionality. The transport channels occur due to a Z2 non-Hermitian Floquet topological phase that is protected by time-reversal ...
B. Höckendorf, A. Alvermann, H. Fehske
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This paper introduces three separation conditions for topological spaces, called T_{0,1}, T_{0,2} ("pre-Hausdorff"), and T_{1,2}. These conditions generalize the classical T_(1) and T_(2) separation axioms, and they have advantages over them topologically which we discuss.
Stine, Jay, Mielke, M. V.
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Discrete Hausdorff transformations [PDF]
Let K K be a complex valued measurable function on ( 0 , 1 ] (0,1] such that ∫ 0 1 t − 1 / p
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Peroxynitrite (ONOO−) and peroxynitrous acid (ONOOH) are known as short acting reactive species with nitrating and oxidative properties, which are associated with their antimicrobial effect.
Martina Balazinski +3 more
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Seaweed and Dendritic Growth in Unsaturated Fatty Acid Monolayers
The lateral movement in lipid membranes depends on their diffusion constant within the membrane. However, when the flux of the subphase is high, the convective flow beneath the membrane also influences lipid movement.
Florian Gellert +3 more
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We give the name Hausdorff to those ultrafilters that provide ultrapowers whose natural topology ( S S -topology) is Hausdorff, e.g. selective ultrafilters are Hausdorff. Here we give necessary and sufficient conditions for product ultrafilters to be Hausdorff.
DI NASSO, MAURO, FORTI, MARCO
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Hausdorff measure of sets of Dirichlet non-improvable numbers [PDF]
Let $\psi:\mathbb R_+\to\mathbb R_+$ be a non-increasing function. A real number $x$ is said to be $\psi$-Dirichlet improvable if it admits an improvement to Dirichlet's theorem in the following sense: the system $$|qx-p|< \, \psi(t) \ \ {\text{and}} \ \
Mumtaz Hussain +3 more
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On the Hausdorff dimension of pinned distance sets [PDF]
We prove that if A is a Borel set in the plane of equal Hausdorff and packing dimension s > 1, then the set of pinned distances {|x − y| : y ∈ A} has full Hausdorff dimension for all x outside of a set of Hausdorff dimension 1 (in particular, for many x ∈
Pablo Shmerkin
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On The Hidden Structure of Odd Numbers and Its Consequences for the Riemann Hypothesis
The Riemann hypothesis remains unconfirmed or invalidated to this day, although local verifications on the calculation of its zeros have never found it faulty.
Junior Mukomene
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For decades, researchers have focused on containing terrestrial oil pollution. The heterogeneity of soils, with immense microbial diversity, inspires them to transform pollutants and find cost-effective bioremediation methods.
Mariam Gaid +6 more
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