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Strongly lensed supernovae : the past and the future
Tanja Petrushevska, 2024, invited lecture at foreign university

Keywords: invited seminar, supernova, strong lensing, James Webb space telescope
Published in RUNG: 11.06.2024; Views: 334; Downloads: 2
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Rubin Observatory's survey strategy performance for tidal disruption events
Katja Bricman, S. Van Velzen, M. Nicholl, Andreja Gomboc, 2023, original scientific article

Keywords: Rubin Observatory, legacy survey time, tidal disruption event, legacy survey of space
Published in RUNG: 29.08.2023; Views: 1166; Downloads: 8
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Strong lensing as a tool to study the early universe : written report
Brankica Apostolova, 2023, research project (high school)

Keywords: strong lensing, astrophysics, Roman Space Telescope, galaxy clustersv, galaxies
Published in RUNG: 23.08.2023; Views: 984; Downloads: 0
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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: 1447; Downloads: 0
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Semihypergroup-Based Graph for Modeling International Spread of COVID-n in Social Systems
Narjes Firouzkouhi, Reza Ameri, Abbas Amini, Hashem Bordbar, 2022, original scientific article

Abstract: Graph theoretic techniques have been widely applied to model many types of links in social systems. Also, algebraic hypercompositional structure theory has demonstrated its systematic application in some problems. Influenced by these mathematical notions, a novel semihypergroup based graph (SBG) of G = hH, Ei is constructed through the fundamental relation gn on H, where semihypergroup H is appointed as the set of vertices and E is addressed as the set of edges on SBG. Indeed, two arbitrary vertices x and y are adjacent if xgny. The connectivity of graph G is characterized by xg y, whereby the connected components SBG of G would be exactly the elements of the fundamental group H/g . Based on SBG, some fundamental characteristics of the graph such as complete, regular, Eulerian, isomorphism, and Cartesian products are discussed along with illustrative examples to clarify the relevance between semihypergroup H and its corresponding graph. Furthermore, the notions of geometric space, block, polygonal, and connected components are introduced in terms of the developed SBG. To formulate the links among individuals/countries in the wake of the COVID (coronavirus disease) pandemic, a theoretical SBG methodology is presented to analyze and simplify such social systems. Finally, the developed SBG is used to model the trend diffusion of the viral disease COVID-n in social systems (i.e., countries and individuals).
Keywords: graph theory, hypergroup, fundamental relation, social systems, geometric space
Published in RUNG: 23.11.2022; Views: 1249; Downloads: 0
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Cluster-lensed supernovae with the Roman Space Telescope and Vera Rubin observatory
Mateusz Bronikowski, Tanja Petrushevska, Justin Pierel, 2022, published scientific conference contribution abstract

Abstract: I will present our current efforts to enable the use of strongly lensed supernovae behind galaxy clusters as powerful tools to tackle several open questions in astrophysics and cosmology. As a preparatory task, we are collecting all available gravitational telescopes into a database, and estimating the properties of all reported multiply-imaged galaxies behind clusters. We are building a tool that will enable accurate estimates of cluster-lensed supernova yields for a given survey. In addition, we are developing the methods to extract the cosmological parameters from cluster-lensed supernovae in the Rubin and Roman data.
Keywords: supernova, gravitational lensing, Vera Rubin Observatory, Roman Space telescope, LSST, Hubble constant
Published in RUNG: 09.11.2022; Views: 1341; Downloads: 5
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The Christi-Kirk Fixed Point Theorem and equivalent principles : A viewpoint from the theory of ballspaces
Alessandro Linzi, unpublished invited conference lecture

Keywords: ball space, fixed point theorem, metric space, Caristi-Kirk, Oettli-Thera
Published in RUNG: 07.10.2022; Views: 1083; Downloads: 0
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