1. Detecting geodesic circles in hyperbolic surfaces with persistent homologyBlaž Jelenc, Žiga Virk, 2025, original scientific article Abstract: In this paper we provide conditions under which a geodesic circle on a hyperbolic surface admits arbitrarily small geodesically convex neighborhoods. This implies that persistent homology using selective Rips complexes detects the length and the position of such a loop via persistent homology in dimensions one, two, or three. In particular, if a surface has a unique systole, then the systole can always be detected with persistent homology. The existential results of the paper are complemented by the corresponding quantitative treatments which explain the choice of parameters of selective Rips complexes as well as conditions, under which the detection occurs via the standard Rips complexes. In particular, if a surface has a unique systole, then the parameters depend on the first spectral gap in the length spectrum.
Keywords: simple closed geodesic, Rips complexes, persistent homology, hyperbolic surfaces, systole
Published in DiRROS: 15.01.2025; Views: 20; Downloads: 10
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3. Novel methodology of general scaling-approach normalization of impedance parameters of insertion battery electrodes – case study on Ni-rich NMC cathode : Experimental and preliminary analysisMarko Firm, Jože Moškon, Gregor Kapun, Sara Drvarič Talian, Ana Rebeka Kamšek, Mateja Štefančič, Samo B. Hočevar, Robert Dominko, Miran Gaberšček, 2024, original scientific article Published in DiRROS: 14.01.2025; Views: 53; Downloads: 23
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7. Complex biophysical and computational analyses of G-quadruplex ligands : the porphyrin stacks backGiuseppe Satta, Marko Trajkovski, Alessio Cantara, Monica Mura, Claudia Meloni, Giulia Olla, Michaela Dobrovolna, Luisa Pisano, Silvia Gaspa, Andrea Salis, Lidia De Luca, Janez Plavec, 2024, original scientific article Published in DiRROS: 14.01.2025; Views: 53; Downloads: 25
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8. Endangered plants important for selected European countriesDalibor Ballian, 2024, dictionary, encyclopaedia, lexicon, manual, atlas, map Keywords: pomen, ogroženost, geografska razširjenost, albumi, elektronske knjige
Published in DiRROS: 14.01.2025; Views: 44; Downloads: 12
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