Results 61 to 70 of about 69,690 (223)
Atomic Scale Visualization of Vibrational Modes in Armchair Graphene Nanoribbon
To visualize the vibrational modes of armchair graphene nanoribbons and verify theories, a functionalized scanning tunneling tip is used to enhance the inelastic tunneling channel over the elastic one. Results show that edge phonons are localized than bulk phonons with little influence from substrate interactions.
Stefan Šćepanović+4 more
wiley +1 more source
On the Hausdorff Dimension of CAT(κ) Surfaces
We prove that a closed surface with a CAT(κ) metric has Hausdorff dimension = 2, and that there are uniform upper and lower bounds on the two-dimensional Hausdorff measure of small metric balls.
Constantine David, Lafont Jean-François
doaj +1 more source
Arbitrary‐Scale Point Cloud Upsampling via Enhanced Geometric Spatial Consistency
ABSTRACT Point cloud upsampling is an essential yet challenging task in various 3D computer vision and graphics applications. Existing methods often struggle with limitations such as the generation of outliers or shrinkage artifacts. Additionally, these methods usually ignore the overall spatial structure of point clouds, leading to suboptimal results.
Xianjing Cheng+5 more
wiley +1 more source
Market Allocations Under Conflation of Goods
ABSTRACT We study competitive equilibria in exchange economies when a continuum of goods is conflated into a finite set of commodities. The design of conflation choices affects the allocation of scarce resources among agents, by constraining trading opportunities and shifting competitive pressures.
Niccolò Urbinati, Marco LiCalzi
wiley +1 more source
Limit Orders and Knightian Uncertainty
ABSTRACT A wide variety of financial instruments allows risk‐averse traders to reduce their exposure to risk. This raises the question of what financial instruments allow ambiguity‐averse traders to reduce their exposure to ambiguity. We show in this paper that price‐contingent orders, such as limit orders, are sufficient: In a two‐period trading model,
Michael Greinecker, Christoph Kuzmics
wiley +1 more source
Compact operators on the Motzkin sequence space $c_0(\mathcal{M})$
The concept of non-compactness measure is extremely beneficial for functional analysis in theories, such as fixed point and operator equations. Apart from these, the Hausdorff measure of non-compactness also has some applications in the theory of ...
Sezer Erdem
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Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran+7 more
wiley +1 more source
Calculation of Hausdorff dimensions of basins of ergodic measures in encoding spaces
In the article we consider spaces XN of sequences of elements of finite alphabet X (encoding spaces) and ergodic measures on them, basins of ergodic measures and Hausdorff dimensions of such basins with respect to ultrametrics defined by a product of ...
Pavel N. Varabei
doaj
О хаусдорфовой мере однородного треугольного (С, θ)-ковра Серпинского [PDF]
В работе рассматривается однородный треугольный (с,θ)-ковер Серпинского.Для значений параметра с ⊂(0,1/3] при θ⊂(π/3, π) получено точное значение хаусдорфовой s-меры, а при θ⊂(0, π/3] её оценка.The generalized homogeneous Sierpinski (c, θ)-gasket is ...
Светова Н. Ю.
doaj
Measure characterizations and properties of normal and regular lattices
Various equivalent characterizations of normality are considered and a measure theoretic definition is given for strongly normal lattices. Measure conditions related to the apace of σ-smooth, lattice-regular, 0−1 measures are noted which imply, or are ...
Peter M. Grassi
doaj +1 more source