Results 51 to 60 of about 9,340 (278)
Complex continued fractions with restricted entries
Electronic Journal of Differential Equations, 1998 We study special infinite iterated function systems derived from complex continued fraction expansions with restricted entries. We focus our attention on the corresponding limit set whose Hausdorff dimension will be denoted by $h$. Our primary goal is to
Pawel Hanus, Mariusz Urbanski
doaj
On the Billingsley dimension of Birkhoff average in the countable symbolic space
Comptes Rendus. Mathématique, 2020 We compute a lower bound of Billingsley–Hausdorff dimension, defined by Gibbs measure, of the level set related to Birkhoff average in the countable symbolic space $\mathbb{N}^{\mathbb{N}}$.
Attia, Najmeddine, Selmi, Bilel
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Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure
, 2012 "GCB was supported by an EPSRC Doctoral Training Grant whilst undertaking this work"For directed graph iterated function systems (IFSs) defined on R, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of ...
Boore, Graeme, Falconer, Kenneth John
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Synchrotron‐Based Deep Learning Network of the Inner Ear: Development and Expert Validation
The Laryngoscope, EarlyView.A deep learning network to automatically segment the inner ear from preoperative clinical scans was developed using synchrotron‐radiation phase contrast imaging (SR‐PCI). On an unseen test set, the network significantly outperformed seven expert otologists/radiologists, the mean expert segmentation, and a simultaneous truth and performance level ...
Ashley Micuda +11 more
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Estimating Hausdorff measure for Denjoy maps [PDF]
, 2023 Article describes how the authors plant to deal with orientation preserving homeomorphisms and, more specifically, diffeomorphisms of the unit circle S1.
Łukasz Pawelec +3 more
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Laser &Photonics Reviews, EarlyView.Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
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Hausdorff measures and KMS states [PDF]
Indiana University Mathematics Journal, 2013 18 pages, 1 ...
Ionescu, Marius, Kumjian, Alex
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A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley +1 more source
Semipolar Sets and Intrinsic Hausdorff Measure
, 2018 Hansen W, Netuka I. Semipolar Sets and Intrinsic Hausdorff Measure. Potential Analysis. 2019;51(1):49-69.Given a Green function G on a locally compact space X with countable base, a Borel set A in X is called G-semipolar, if there is no measure nu not ...
Netuka, Ivan +3 more
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Hausdorff Measure of Noncompactness of Matrix Mappings on Cesaro Spaces
, 2021 In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on the spaces |C-alpha|(kappa) , which have more recently been introduced in [22].
Sarigol, M. Ali, Gulec, G. Canan Hazar
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