Self-normalized processes arise naturally in statistical applications. Being unit free, they are not affected by scale changes. Moreover, self-normalization often eliminates or weakens moment ...
ABSTRACT: As for the affine energy, Edir Junior and Ferreira Leite establish the existence of minimizers for particular restricted subcritical and critical variational issues on BV(Ω). Similar ...
Let p¯(n) denote the overpartition function. In this paper, our primary goal is to study the asymptotic behavior of the finite differences of the logarithm of the overpartition function, i.e., ...
In this paper, we study logarithmic Harnack inequalities and differential Harnack estimates for p-Laplacian on Riemannian manifolds, We prove the logarithmic Harnack inequalities for Lp-log-Sobolev ...
Abstract: This paper is devoted to improvements of functional inequalities based on scalings and written in terms of relative entropies. When scales are taken into account and second moments fixed ...
We show that for a hypoelliptic Dirichlet form operator 𝐴 on a stratified complex Lie group, if the logarithmic Sobolev inequality holds, then a holomorphic projection of 𝐴 is strongly ...
Abstract: The noisiness of a channel can be measured by comparing suitable functionals of the input and output distributions. For instance, if we fix a reference input distribution, then the ...
ABSTRACT: This research work considers the inequalities: (Ieq). The researchers attempt to find an answer as to what are the best possible parameters α,β that (Ieq) can be hold? The main tool is the ...
Forbes contributors publish independent expert analyses and insights. I help people communicate data clearly with graphs. There are two main reasons to use logarithmic scales in charts and graphs. The ...
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