Related papers: Dedieu-Shub Measures
This is a brief and gentle introduction, aimed at graduate students, to the subject of model subspaces of the Hardy space.
A review of the empirical literature on access to scholarly information. This review focuses on surveys of authors, article download and citation analysis.
This paper presents a general approach for measuring distances between board games within the Ludii general game system. These distances are calculated using a previously published set of general board game concepts, each of which…
This is an exposition of the theory of differentiable structures on metric measures spaces, in the sense of Cheeger and Keith.
We introduce the concept of protometric and present some properties of protometrics.
A survey of work on motivic integration.
In the framework of the generalized measure theory the decomposable probabilistic-valued set functions are introduced with triangle functions $\tau$ in an appropriate probabilistic metric space as natural candidates for the "addition",…
{Researchers recently introduced interpolative metric spaces and established fixed-point theorems in this setting. We demonstrate that these metrics are a special case of b-metrics. On the other hand, suprametrics and b-suprametrics have…
Measurement is an integral part of modern science, providing the fundamental means for evaluation, comparison, and prediction. In the context of visualization, several different types of measures have been proposed, ranging from approaches…
This paper takes a new step in the direction of proving the Duffin-Schaeffer Conjecture for measures arbitrarily close to Lebesgue. The main result is that under a mild `extra divergence' hypothesis, the conjecture is true.
This is a survey article on distance-squared mappings and related topics.
Let $(X,d)$ be a compact metric space. We consider the behavior of probability measures $\mu$ with the property that $$ \int_{X} d(x, y) d\mu(y) \qquad \mbox{is independent of}~x \in X.$$ It appears that such measures, when they exist,…
A survey of recent results concerning cardinal invariants of measure and category. Submitted as a chapter of the upcoming Handbook of Set Theory.
This article proposes to describe and compare the contributions of various techniques of evaluation of the accessibility of E-services carried out starting from (i) methods of inspection (on the basis of traditional ergonomic criteria and…
Recently Verdu and Weissman introduced erasure entropies, which are meant to measure the information carried by one or more symbols given all of the remaining symbols in the realization of the random process or field. A natural relation to…
Current state of the experimental physics of the surface discharge has been examined in the literature review. The existing works were classified by the mediums, where the surface discharge is explored, by the types of experimental setups…
These notes deal with metric spaces, Hausdorff measures and dimensions, Lipschitz mappings, and related topics. The reader is assumed to have some familiarity with basic analysis, which is also reviewed.
Concentration of measure is studied, and obtained, for stable and related random vectors.
This work is devoted to study the deformation of spacetime metrics as generalized conformal transformations. Some applications are also considered, in particular the equations of motion in deformed spacetime are studied.
At the present time, there are a number of measurements of $B$-decay observables that disagree with the predictions of the standard model. These discrepancies have been seen in processes governed by two types of decay: (i) $b \to s \mu^+…