Results 31 to 40 of about 2,931,499 (197)
Resonances for graph directed Markov systems, and geometry of infinitely generated dynamical systems [PDF]
, 2009 In the first part of this thesis we transfer a result of Guillopé et al. concerning the number of zeros of the Selberg zeta function for convex cocompact Schottky groups to the setting of certain types of graph directed Markov systems (GDMS ...
Hille, Martial R.
core +2 more sources
Projections of measures with small supports
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
Bilel Selmi
doaj
The McMillan Theorem for Colored Branching Processes and Dimensions of Random Fractals
Entropy, 2014 For the simplest colored branching process, we prove an analog to the McMillan theorem and calculate the Hausdorff dimensions of random fractals defined in terms of the limit behavior of empirical measures generated by finite genetic lines.
Victor Bakhtin
doaj +1 more source
Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art
Advanced Intelligent Discovery, EarlyView.Cell segmentation underpins many biological image analysis tasks, yet most deep learning methods remain limited to 2D despite the inherently 3D nature of cellular processes. This review surveys segmentation approaches beyond 2D, comparing 2.5D and fully 3D methods, analyzing 31 models and 32 volumetric datasets, and introducing a unified reference ...
Fabian Schmeisser +6 more
wiley +1 more source
Hausdorff measures: area formula and coarea formula [PDF]
, 2022 openQuesta tesi si propone di applicare le misure di Hausdorff per dimostrare due formule: la formula dell'area e la formula di coarea nel caso generale, ovvero per funzioni lipschtziane.
FAVARO, GABRIELE
core
IEEE Access, 2023 The notion of a complex hesitant fuzzy set (CHFS) is one of the better tools in order to deal with complex information. Since distance plays a crucial role in order to differentiate between two things or sets, in this paper, we first develop a priority ...
Muhammad Sajjad Ali Khan +4 more
doaj +1 more source
Crystal Structure Prediction of Inorganic Materials: A Benchmark and Modern Evaluation
Advanced Intelligent Discovery, EarlyView.Predicting a crystal’s structure from composition alone is a long‐standing challenge in materials discovery. The CSP180 benchmark of 180 inorganic crystals evaluates thirteen crystal structure prediction algorithms requiring no density functional theory (DFT) against DFT‐based baselines across twelve metrics.
Lai Wei +9 more
wiley +1 more source
On simultaneous local dimension functions of subsets of Rd [PDF]
, 2015 Date of Acceptance: 04/05/2015For a subset E ⊑ Rd and x ∈ Rd, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by (Formula presented.) where dimH and dimP denote the Hausdorff dimension and ...
Olsen, Lars Ole Ronnow
core +1 more source
Fractal and FractionalThis paper explores coherent upper conditional previsions, a class of nonlinear functionals that generalize expectations while preserving consistency properties.
Serena Doria
doaj +1 more source
Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2016 In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi +2 more
doaj +1 more source