Results 81 to 90 of about 1,163,094 (200)

Rate distortion dimension and ergodic decomposition for $\mathbb{R}^d$-actions [PDF]

open access: yesarXiv
Rate distortion dimension describes the theoretical limit of lossy data compression methods as the distortion bound goes to zero. It was originally introduced in the context of information theory, and recently it was discovered that it has an intimate connection to Gromov's theory of mean dimension of dynamical systems.
arxiv  

On subclasses of close-to-convex functions of higher order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
The classes Tk(ρ), 0 ...
Khalida Inayat Noor
doaj   +1 more source

Unified representation of a certain class of harmonic univalent functions defined by Dziok-Srivastava operator

open access: yesLe Matematiche, 2014
In this paper, we investigate several properties of the harmonic class defined by the modified Dziok-Sirvastava operator, obtain distortion theorem, extreme points, convolution condition, convex combinations and integral operator for this class.
M. K. Aouf   +2 more
doaj  

Low-Rate, Low-Distortion Compression with Wasserstein Distortion [PDF]

open access: yesarXiv
Wasserstein distortion is a one-parameter family of distortion measures that was recently proposed to unify fidelity and realism constraints. After establishing continuity results for Wasserstein in the extreme cases of pure fidelity and pure realism, we prove the first coding theorems for compression under Wasserstein distortion focusing on the regime
arxiv  

Secrecy Communication with Security Rate Measure [PDF]

open access: yesarXiv, 2015
We introduce a new measure on secrecy, which is established based on rate-distortion theory. It is named \emph{security rate}, which is the minimum (infimum) of the additional rate needed to reconstruct the source within target distortion level with any positive probability for wiretapper.
arxiv  

The strong form of the Levinson theorem for a distorted KP potential [PDF]

open access: yesarXiv, 2009
We present a heuristic derivation of the strong form of the Levinson theorem for one-dimensional quasi-periodic potentials. The particular potential chosen is a distorted Kronig-Penney model. This theorem relates the phase shifts of the states at each band edge to the number of states crossing that edge, as the system evolves from a simple periodic ...
arxiv  

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