Displaying similar documents to “On Connection between Characterestic Functions and the Caratheodori Class Functions”

Boolean algebras of projections and ranges of spectral measures

Okada S., Ricker W. J.

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CONTENTSIntroduction...............................................................................51. Preliminaries.........................................................................72. Relative weak compactness of the range............................133. Closed spectral measures...................................................164. Spectral measures and B.a.'s of projections........................22References..............................................................................45 ...

Projections of measures with small supports

Bilel Selmi (2021)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.

On the order equivalence relation of binary association measures

Mariusz Paradowski (2015)

International Journal of Applied Mathematics and Computer Science

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Over a century of research has resulted in a set of more than a hundred binary association measures. Many of them share similar properties. An overview of binary association measures is presented, focused on their order equivalences. Association measures are grouped according to their relations. Transformations between these measures are shown, both formally and visually. A generalization coefficient is proposed, based on joint probability and marginal probabilities. Combining association...

Can interestingness measures be usefully visualized?

Robert Susmaga, Izabela Szczech (2015)

International Journal of Applied Mathematics and Computer Science

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The paper presents visualization techniques for interestingness measures. The process of measure visualization provides useful insights into different domain areas of the visualized measures and thus effectively assists their comprehension and selection for different knowledge discovery tasks. Assuming a common domain form of the visualized measures, a set of contingency tables, which consists of all possible tables having the same total number of observations, is constructed. These...

On physical measures for Cherry flows

Liviana Palmisano (2016)

Fundamenta Mathematicae

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Studies of the physical measures for Cherry flows were initiated in Saghin and Vargas (2013). While the non-positive divergence case was resolved, the positive divergence case still lacked a complete description. Some conjectures were put forward. In this paper we make a contribution in this direction. Namely, under mild technical assumptions we solve some conjectures stated in Saghin and Vargas (2013) by providing a description of the physical measures for Cherry flows in the positive...

Unitary dilations of contraction operators

W. Mlak

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ContentsPreliminaries.................................................................................... 31. Notation and definitions............................................................. 62. Simple unitary dilations............................................................. 83. Dilation theorem.......................................................................... 124. Unitary dilation of a single contractions.................................. 225. Decomposition theorems............................................................

Elementary examples of Loewner chains generated by densities

Alan Sola (2013)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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We study explicit examples of Loewner chains generated by absolutely continuous driving measures, and discuss how properties of driving measures are reflected in the shapes of the growing Loewner hulls.

Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation

Nikolay Tzvetkov, Nicola Visciglia (2013)

Annales scientifiques de l'École Normale Supérieure

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Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.

Measuring herd behavior: properties and pitfalls

Woojoo Lee, Jae Youn Ahn (2017)

Dependence Modeling

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Herd behavior is an important economic phenomenon, especially in the context of the recent financial crises. Prior studies propose several measures to quantify herd behavior. In this paper, we show that these measures reflect different perspectives on this behavior, and hence, their interpretation requires great care. Taking a critical attitude toward existing herd behavior measures, we study their properties and pitfalls in detail.