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The last of the simple remainders [PDF]
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are ...
A Brandhuber +44 more
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New stochastic approach to the renormalization of the supersymmetric \phi^4 with ultrametric [PDF]
We present a new real space renormalization-group map, on the space of probabilities, to study the renormalization of the SUSY \phi^4. In our approach we use the random walk representation on a lattice labeled by an ultrametric space.
Rodriguez-Romo, Suemi
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Rigorous treatment of the averaging process for co-orbital motions in the planetary problem [PDF]
We develop a rigorous analytical Hamiltonian formalism adapted to the study of the motion of two planets in co-orbital resonance. By constructing a complex domain of holomorphy for the planetary Hamilto-nian, we estimate the size of the transformation ...
Niederman, Laurent +2 more
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We consider QCD corrections to two loops for the polarized amplitudes of $q{\bar q}\to Z +$ Higgs boson. First we show how the polarized amplitudes of $b \bar{b} \rightarrow Z h$ associated with a non-vanishing $b$-quark Yukawa coupling and a scalar or ...
Ahmed, Taushif +3 more
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Menger remainders of topological groups
In this paper we discuss what kind of constrains combinatorial covering properties of Menger, Scheepers, and Hurewicz impose on remainders of topological groups.
Bella, Angelo +2 more
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The Sudakov form factor at four loops in maximal super Yang-Mills theory
The four-loop Sudakov form factor in maximal super Yang-Mills theory is analysed in detail. It is shown explicitly how to construct a basis of integrals that have a uniformly transcendental expansion in the dimensional regularisation parameter, further ...
Boels, Rutger H. +2 more
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Towards Robustness in Residue Number Systems
The problem of robustly reconstructing a large number from its erroneous remainders with respect to several moduli, namely the robust remaindering problem, may occur in many applications including phase unwrapping, frequency detection from several ...
Huo, Haiye, Xia, Xiang-Gen, Xiao, Li
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Two-Loop g -> gg Splitting Amplitudes in QCD
Splitting amplitudes are universal functions governing the collinear behavior of scattering amplitudes for massless particles. We compute the two-loop g -> gg splitting amplitudes in QCD, N=1, and N=4 super-Yang-Mills theories, which describe the limits ...
A. Bassetto +41 more
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Local properties on the remainders of the topological groups
When does a topological group $G$ have a Hausdorff compactification $bG$ with a remainder belonging to a given class of spaces? In this paper, we mainly improve some results of A.V. Arhangel'ski\v{\i} and C. Liu's.
Lin, Fucai
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A separable non-remainder of H
We prove that there is a compact separable continuum that (consistently) is not a remainder of the real line.Comment: Rewrite after referee's ...
Dow, Alan, Hart, Klaas Pieter
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