Browsing Department of Mathematics by Author "Garcia Pascual, Belen"
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Cellular and environmental dynamics influence species-specific extents of organelle gene retention
Garcia Pascual, Belen; Nordbotten, Jan Martin; Johnston, Iain (Journal article; Peer reviewed, 2023)Mitochondria and plastids rely on many nuclear-encoded genes, but retain small subsets of the genes they need to function in their own organelle DNA (oDNA). Different species retain different numbers of oDNA genes, and the ... -
Determining homology of an unknown space from a sample
Brun, Morten; Garcia Pascual, Belen; Salbu, Lars Moberg (Journal article; Peer reviewed, 2023)The homology of an unknown subspace of Euclidean space can be determined from the intrinsic Čech complex of a sample of points in the subspace, without reference to the ambient Euclidean space. More precisely, given a ... -
Geometric reconstruction and persistence methods
Garcia Pascual, Belen (Master thesis, 2020-07-01)In the present work we reconstruct the homotopy type of an unknown Euclidean subspace from a known sample of data. We carry out such reconstruction through generalized Čech complexes, by choosing radii which are less or ...