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1.
A result of Krasner in categorial form
Alessandro Linzi, 2023, original scientific article

Keywords: valuation, completion, field, hyperfield, category theory
Published in RUNG: 11.12.2023; Views: 762; Downloads: 6
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2.
Effects of Galactic magnetic field on the UHECR anisotropy studies
R. Higuchi, Jon Paul Lundquist, 2022, published scientific conference contribution

Abstract: Telescope Array (TA) and Auger experiments reported anisotropies in the arrival direction of ultrahigh-energy cosmic rays (UHECRs). In particular, Auger Collaboration reported a correlation between UHECR events and the flux model of assumed sources and suggested a contribution of starburst galaxies (SBGs) to the anisotropy of UHECRs. However, in their study, the effect of coherent deflections by the galactic magnetic field (GMF) is not taken into account. In this study, we investigated the effect of the GMF on the arrival directions of UHECRs using the cosmic ray propagation code CRPropa3. We used a backtracking technique which consists of propagating antiparticles to map the flux outside the galaxy to at the earth. We estimate the systematic effects caused by GMF in the reported likelihood analysis. We conduct likelihood analysis for mock UHECR datasets based on the flux pattern through the GMF model. We found systematic decrease of (f_ani, �) due to GMF. As prospects for the TAx4 experiment and joint analysis of Auger and TA collaborations, we develop the likelihood analysis method with the convolution of the rigidity spectrum.
Keywords: Telescope Array, TAx4, ultra-high energy, cosmic rays, anisotropy, galactic magnetic field, starburst galaxies
Published in RUNG: 29.09.2023; Views: 745; Downloads: 5
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3.
A new symmetry in valuation theory
Alessandro Linzi, 2023, published scientific conference contribution abstract

Keywords: valuation, valued field, p-adic numbers, hyperfield
Published in RUNG: 27.06.2023; Views: 1054; Downloads: 8
.pdf Full text (405,62 KB)

4.
Valuations on structures more general than fields
Alessandro Linzi, 2023, published scientific conference contribution

Keywords: hyperfield, valuation, valued field, tropical hyperfield
Published in RUNG: 27.06.2023; Views: 941; Downloads: 8
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5.
Algebraic hyperstructures in the model theory of valued fields : PhD in mathematics
Alessandro Linzi, 2022, doctoral dissertation

Keywords: hyperfield, valued field, algebra, model theory, quantifier elimination
Published in RUNG: 27.10.2022; Views: 1467; Downloads: 82
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6.
Krasner hyperfields and the model theory of valued fields
Alessandro Linzi, unpublished conference contribution

Keywords: hyperfield, valued field, model theory, quantifier elimination, valuation, subhyperfield
Published in RUNG: 10.10.2022; Views: 1143; Downloads: 0
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7.
Structures for relative quantifier elimination in valued fields : Algebraic hyperstructures in the model theory of valued fields
Alessandro Linzi, invited lecture at foreign university

Keywords: model theory, quantifier elimination, valued field, hyperfield
Published in RUNG: 10.10.2022; Views: 1172; Downloads: 0
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8.
Structures for quantifier elimination in valued fields
Alessandro Linzi, unpublished conference contribution

Keywords: quantifier elimination, model theory, valued field, hyperfield
Published in RUNG: 10.10.2022; Views: 1075; Downloads: 0
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9.
Krasner hyperfields and the model theory of valued fields
Alessandro Linzi, unpublished conference contribution

Keywords: hyperfield, valued field, model theory, quantifier elimination
Published in RUNG: 07.10.2022; Views: 1252; Downloads: 0
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10.
Krasner hyperfields and the model theory of valued fields
Alessandro Linzi, published scientific conference contribution abstract

Keywords: hyperfield, valued field, model theory, quantifier elimination
Published in RUNG: 07.10.2022; Views: 1228; Downloads: 0
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