Results 91 to 100 of about 65,125 (273)
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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A. Baker's conjecture and Hausdorff dimension
Publicationes Mathematicae Debrecen, 2000 Let \(M_n(\varepsilon)\) (for \(n\in \mathbb N\) and for \(\varepsilon >0\)) denote the set of \(x\in \mathbb R\) such that the inequality \[ |P(x)|
Beresnevich, V., Bernik, V.
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Monge–Ampère equations (MAEs) are fully nonlinear second‐order partial differential equations (PDEs), which are closely related to various fields including optimal transport (OT) theory, geometrical optics and affine geometry. Despite their significance, MAEs are extremely challenging to solve.
Xinghua Pan, Zexin Feng, Kang Yang
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Hausdorff–Lebesgue Dimension of Attractors [PDF]
International Journal of Bifurcation and Chaos, 2017 Definitions of Hausdorff–Lebesgue measure and dimension are introduced. Combination of Hausdorff and Lebesgue ideas are used. Methods for upper and lower estimations of attractor dimensions are developed.
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Limit Orders and Knightian Uncertainty
International Economic Review, EarlyView.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
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Journal of Microscopy, EarlyView.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
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Singular dimension of spaces of real functions
Le Matematiche, 2007 Let X be a space of measurable real functions defined on a fixed open set Ω ⊆ R^N . It is natural to define the singular dimension of X as the supremum of Hausdorff dimension of singular sets of all functions in X.We say that f ∈ X is a maximally ...
Darko Žubrinić
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The Hausdorff dimension of the visible sets of connected compact sets
, 2003 For a compact subset K of the plane and a point x, we define the visible part of K from x to be the set K_x={u\in K : [x,u]\cap K={u}}. (Here [x,u] denotes the closed line segment joining x to u.) In this paper, we use energies to show that if K is a ...
O'Neil, Toby C
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Dynamically Consistent Analysis of Realized Covariations in Term Structure Models
Mathematical Finance, EarlyView.ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
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Generalized Dimensions of Self-Affine Sets with Overlaps
Fractal and FractionalTwo decades ago, Ngai and Wang introduced a well-known finite type condition (FTC) on the self-similar iterated function system (IFS) with overlaps and used it to calculate the Hausdorff dimension of self-similar sets. In this paper, inspired by Ngai and
Guanzhong Ma, Jun Luo, Xiao Zhou
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