Results 61 to 70 of about 338 (182)
Remarks on the mutual singularity of multifractal measures
, 2021 In the present work, we study the mutual singularity of multifractal Hausdorff and packing measures which provide a positive answer to Olsen’s questions in a more general framework.
Selmi, Bilel
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Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
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Divergence points of self-similar measures and packing dimension
, 2007 Let μ be a self-similar measure in Rd. A point x∈Rd for which the limit limr↘0logμB(x,r)logr does not exist is called a divergence point. Very recently there has been an enormous interest in investigating the fractal structure of various sets of ...
Olsen, L. +6 more
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The Journal of Pathology, Volume 269, Issue 2, Page 164-181, June 2026.Abstract Lung cancer is the leading cause of global cancer‐related morbidity and mortality, with tobacco smoking as its strongest risk factor. Nuclear factor erythroid 2‐related factor 2 (NRF2) is a redox‐regulated transcription factor frequently dysregulated in non‐small cell lung cancer (NSCLC), leading to aggressive disease and resistance to therapy.
Jouni Härkönen +14 more
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Packing measures and dimensions on cartesian products
, 2021 Packing measures Pg(E) and Hewitt-Stromberg measures vg(E) and their relatives are investigated. It is shown, for instance, that for any metric spaces X, Y and any Hausdorff functions f, g vg (X) • Ph (Y) ≤ Pgh (X x Y).
Zindulka, Ondrej
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Machine Learning for Local Detection of Separators in Three‐Dimensional Magnetic Fields
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.Abstract Magnetic reconnection is a major plasma phenomenon occurring in various key environments ranging from the Sun and near‐Earth space to astrophysical plasmas. While magnetic reconnection is relatively well‐understood under two‐dimensional (2D) settings, it remains challenging to characterize in three‐dimensional (3D) magnetic fields.
Fanni Franssila +5 more
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Freezing of Gait in Parkinson's Disease: A Heterogeneous Phenomenon Across Assessment Tools
European Journal of Neuroscience, Volume 63, Issue 11, June 2026.Freezing of gait in Parkinson's disease is a heterogeneous, context‐ and tool‐dependent phenomenon that may emerge in early disease. Capturing freezing requires multimethod assessment, and interpretation of freezing‐related outcomes should take into account disease severity.
Jacques Duysens +1 more
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Hausdorff dimension of fiber-coding sub-Sierpinski carpets
, 2007 In this paper we study a class of subset of Sierpinski carpets for which the allowed digits in the expansions fall into each fiber set with a prescribed frequency.
Li, Wenxia, Gui, Yongxin
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On relations between entropy and Hausdorff dimension of measures
, 2002 International audienceWe characterize probability measures whose Hausdorff dimension or packing dimension can be calculated by an entropy formula. In particular, we prove that such measures are unidimensional. We also construct examples of unidimensional
Heurteaux, Yanick, Batakis, Athanasios
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Transactions in GIS, Volume 30, Issue 4, June 2026.ABSTRACT The integration of Building Information Models (BIM) and Geospatial Information Systems (GIS) is important to designing and developing smart cities and digital twins. Although significant advancements have been achieved, challenges remain in georeferencing BIM models to integrate them into the geospatial environment.
Peyman Azari, Songnian Li, Ahmed Shaker
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