Integrated Fractional white Noise as an Alternative to Multifractional Brownian Motion

2007 ◽  
Vol 44 (02) ◽  
pp. 393-408 ◽  
Author(s):  
Allan Sly
Keyword(s):  
Stochastic Process ◽  
Brownian Motion ◽  
White Noise ◽  
Gaussian Process ◽  
Discrete Data ◽  
Hölder Exponent ◽  
Scaling Properties ◽  
Multifractional Brownian Motion ◽  
Local Properties

Multifractional Brownian motion is a Gaussian process which has changing scaling properties generated by varying the local Hölder exponent. We show that multifractional Brownian motion is very sensitive to changes in the selected Hölder exponent and has extreme changes in magnitude. We suggest an alternative stochastic process, called integrated fractional white noise, which retains the important local properties but avoids the undesirable oscillations in magnitude. We also show how the Hölder exponent can be estimated locally from discrete data in this model.

Variation of the local properties in TmxSe (0.8 < x ≤ 1.0) : 169Tm Mössbauer and X-ray measurements

1982 ◽  
Vol 43 (6) ◽  
pp. 961-971 ◽  
Author(s):  
J.A. Hodges ◽  
G. Jéhanno ◽  
D. Debray ◽  
F. Holtzberg ◽  
M. Loewenhaupt
Keyword(s):  
X Ray ◽  
Local Properties

Criticism of D.B Volkov’s Teleofunctional Solution to the Problem of Mental Causation

2020 ◽  
Vol 63 (1) ◽  
pp. 116-135
Author(s):  
Anton V. Kuznetsov
Keyword(s):  
Free Will ◽  
Mental Causation ◽  
Physical Factors ◽  
Multiple Realizability ◽  
Causal Relevance ◽  
Relational Properties ◽  
Local Properties ◽  
Non Local ◽  
Mental Properties ◽  
First Editions

The articles examines the teleofunctional solution to the problem of mental causation, presented by Dmitry Volkov in his recently published book Free Will. An Illusion or an Opportunity. D.B. Volkov proposes solutions to three big metaphysical problems – mental causation, personal identity, and free will. Solving the first problem, Volkov creatively combines the advantages of Dennett’s teleofunctional model and Vasilyev’s local interactionism. Volkov’s teleofunctional model of mental causation seeks to prove the causal relevance of mental properties as non-local higher order properties. In my view, its substantiation is based on three points: (a) critics of the exclusion problem and Kim’s model of mental causation, (b) “Library of first editions” argument, (c) reduction of the causal trajectories argument (CTA 1) by Vasilyev to the counterpart argument (CTA 2) by Volkov. Each of these points faces objections. Kim’s criticism is based on an implicit confusion of two types of reduction – reduction from supervenience and from multiple realizability. The latter type does not threaten Kim’s ideas, but Volkov uses this very type in his criticism. The “Library of first editions” argument does not achieve its goal due to compositional features and because non-local relational properties are a type of external properties that cannot be causally relevant. The reduction of CTA 1 to CTA 2 is unsuccessful since, in the case of this reduction, important features of CTA 1 are lost – these are local mental properties, due to which the influence of non-local physical factors occurs. My main objection is that the concept of causally relevant non-local properties is incompatible with the very concept of cause. The set of causally relevant properties of cause can only be local.

Double-Diffusive Convection in Traveling Waves in the Iodate−Sulfite System Explained

1996 ◽  
Vol 100 (40) ◽  
pp. 16209-16212 ◽  
Author(s):  
John A. Pojman ◽  
Andrea Komlósi ◽  
Istvan P. Nagy
Keyword(s):  
Traveling Waves ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Double Diffusive
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