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1.
Polygroup objects in regular categories
Alessandro Linzi, 2024, original scientific article

Abstract:

We express the fundamental properties of commutative polygroups (also known as canonical hypergroups) in category-theoretic terms, over the category $ \mathbf{Set} $ formed by sets and functions. For this, we employ regularity as well as the monoidal structure induced on the category $ {\mathbf{Rel}} $ of sets and relations by cartesian products. We highlight how our approach can be generalised to any regular category. In addition, we consider the theory of partial multirings and find fully faithful functors between certain slice or coslice categories of the category of partial multirings and other categories formed by well-known mathematical structures and their morphisms.


Keywords: polygroup, canonical hypergroup, multiring, Krasner hyperring, regular category, relation
Published in RUNG: 25.03.2024; Views: 232; Downloads: 3
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2.
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: 623; Downloads: 6
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3.
The Cherenkov Telescope Array transient and multi-messenger program
Alessandro Carosi, Saptashwa Bhattacharyya, Barbara MARČUN, Judit Pérez Romero, Samo Stanič, Veronika Vodeb, Serguei Vorobiov, Gabrijela Zaharijas, Marko Zavrtanik, Danilo Zavrtanik, Miha Živec, 2021, published scientific conference contribution

Abstract: The Cherenkov Telescope Array (CTA) is a next generation ground-based very-high-energy gamma-ray observatory that will allow for observations in the >10 GeV range with unprece-dented photon statistics and sensitivity. This will enable the investigation of the yet-marginally explored physics of short-time-scale transient events. CTA will thus become an invaluable instru-ment for the study of the physics of the most extreme and violent objects and their interactions with the surrounding environment. The CTA Transient program includes follow-up observations of a wide range of multi-wavelength and multi-messenger alerts, ranging from compact galactic binary systems to extragalactic events such as gamma-ray bursts (GRBs), core-collapse supernovae and bright AGN flares. In recent years, the first firm detection of GRBs by current Cherenkov telescope collaborations, the proven connection between gravitational waves and short GRBs, as well as the possible neutrino-blazar association with TXS 0506+056 have shown the importance of coordinated follow-up observations triggered by these di˙erent cosmic signals in the framework of the birth of multi-messenger astrophysics. In the next years, CTA will play a major role in these types of observations by taking advantage of its fast slewing (especially for the CTA Large Size Telescopes), large e˙ective area and good sensitivity, opening new opportunities for time-domain astrophysics in an energy range not a˙ected by selective absorption processes typical of other wavelengths. In this contribution we highlight the common approach adopted by the CTA Tran-sients physics working group to perform the study of transient sources in the very-high-energy regime.
Keywords: Cherenkov Telescope Array, very-high-energy gamma-rays, CTA Transient program, multi-wavelength astronomy, multi-messenger astronomy
Published in RUNG: 18.09.2023; Views: 519; Downloads: 6
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4.
The Monitoring, Logging, and Alarm system for the Cherenkov Telescope Array
Alessandro Costa, Saptashwa Bhattacharyya, Barbara MARČUN, Judit Pérez Romero, Samo Stanič, Veronika Vodeb, Serguei Vorobiov, Gabrijela Zaharijas, Marko Zavrtanik, Danilo Zavrtanik, Miha Živec, 2021, published scientific conference contribution

Abstract: We present the current development of the Monitoring, Logging and Alarm subsystems in the framework of the Array Control and Data Acquisition System (ACADA) for the Cherenkov Tele-scope Array (CTA). The Monitoring System (MON) is the subsystem responsible for monitoring and logging the overall array (at each of the CTA sites) through the acquisition of monitoring and logging information from the array elements. The MON allows us to perform a systematic approach to fault detection and diagnosis supporting corrective and predictive maintenance to minimize the downtime of the system. We present a unified tool for monitoring data items from the telescopes and other devices deployed at the CTA array sites. Data are immediately available for the operator interface and quick-look quality checks and stored for later detailed inspection. The Array Alarm System (AAS) is the subsystem that provides the service that gathers, filters, exposes, and persists alarms raised by both the ACADA processes and the array elements su-pervised by the ACADA system. It collects alarms from the telescopes, the array calibration, the environmental monitoring instruments and the ACADA systems. The AAS sub-system also creates new alarms based on the analysis and correlation of the system software logs and the status of the system hardware providing the filter mechanisms for all the alarms. Data from the alarm system are then sent to the operator via the human-machine interface.
Keywords: Cherenkov Telescope Array, Array Control and Data Acquisition System, Monitoring System, Array Alarm System
Published in RUNG: 18.09.2023; Views: 553; Downloads: 4
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5.
On the deep connection between hyperstructures and quantum logic
Nicolò Cangiotti, Alessandro Linzi, 2023, published scientific conference contribution abstract

Abstract: We describe and motivate our project for a hypercompositional approach to quantum logic.
Keywords: quantum logic, hypercompositional algebra, hypergroups, lattice, projective geometry
Published in RUNG: 01.08.2023; Views: 746; Downloads: 3
URL Link to file

6.
7.
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: 931; Downloads: 8
.pdf Full text (405,62 KB)

8.
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: 833; Downloads: 8
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9.
On an algebraic description of projective geometries
Alessandro Linzi, invited lecture at foreign university

Keywords: Projective geometry, projective space, hypergroup
Published in RUNG: 06.06.2023; Views: 1118; Downloads: 0
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10.
Narratives need not end well; nor say it all
Sara Andreetta, Davide Spalla, Alessandro Treves, 2023, short scientific article

Abstract: To fully embrace situations of radical uncertainty, we argue that the theory should abandon the requirements that narratives, in general, must lead to affective evaluation, and that they have to explain (and potentially simulate) all or even the bulk of the current decisional context. Evidence from studies of incidental learning show that narrative schemata can bias decisions while remaining fragmentary, insufficient for prediction, and devoid of utility values.
Keywords: conviction narrative theory, Hebbian learning, schemata, memory, neuroscience
Published in RUNG: 10.05.2023; Views: 974; Downloads: 2
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