57 research outputs found
Primjena integro-diferencijalne varijacijske razlomne zadaće i razlomnog pristupa integralima po putevima stohastičkom modeliranju
The fractional path integral approach is applied to stochastic models, in particular the financial derivatives and options pricing formulated within the framework of the fractional action-like variational approach recently introduced by the author. Many interesting features and consequences are revealed in some details.Proučavaju se stohastički modeli primjenom integrala po putevima, a posebno se razlažu novčane izvodnice i mogućnosti u određivanju cijena u okviru razlomnog djelotvornog varijacijskog pristupa nedavno uvedenog autorom. Mnoge se zanimljive odlike i posljedice otkrivaju djelomično
Primjena integro-diferencijalne varijacijske razlomne zadaće i razlomnog pristupa integralima po putevima stohastičkom modeliranju
The fractional path integral approach is applied to stochastic models, in particular the financial derivatives and options pricing formulated within the framework of the fractional action-like variational approach recently introduced by the author. Many interesting features and consequences are revealed in some details.Proučavaju se stohastički modeli primjenom integrala po putevima, a posebno se razlažu novčane izvodnice i mogućnosti u određivanju cijena u okviru razlomnog djelotvornog varijacijskog pristupa nedavno uvedenog autorom. Mnoge se zanimljive odlike i posljedice otkrivaju djelomično
Fractional Action Cosmology with Power Law Weight Function
Motivated by an earlier work on fractional-action cosmology with a periodic
weight function [1], we extend it by choosing a power-law weight function in
the action. In this approach, we obtain a varying gravitational coupling
constant. We then model dark energy in this paradigm and obtain relevant
cosmological parameters.Comment: 12 pages, 9 figures, Contributed talk published in the proceedings of
"3rd Italian-Pakistani Workshop on Relativistic Astrophysics
Consanguinity and reproductive health among Arabs
Consanguineous marriages have been practiced since the early existence of modern humans. Until now consanguinity is widely practiced in several global communities with variable rates depending on religion, culture, and geography. Arab populations have a long tradition of consanguinity due to socio-cultural factors. Many Arab countries display some of the highest rates of consanguineous marriages in the world, and specifically first cousin marriages which may reach 25-30% of all marriages. In some countries like Qatar, Yemen, and UAE, consanguinity rates are increasing in the current generation. Research among Arabs and worldwide has indicated that consanguinity could have an effect on some reproductive health parameters such as postnatal mortality and rates of congenital malformations. The association of consanguinity with other reproductive health parameters, such as fertility and fetal wastage, is controversial. The main impact of consanguinity, however, is an increase in the rate of homozygotes for autosomal recessive genetic disorders. Worldwide, known dominant disorders are more numerous than known recessive disorders. However, data on genetic disorders in Arab populations as extracted from the Catalogue of Transmission Genetics in Arabs (CTGA) database indicate a relative abundance of recessive disorders in the region that is clearly associated with the practice of consanguinity
Geometry and field theory in multi-fractional spacetime
We construct a theory of fields living on continuous geometries with
fractional Hausdorff and spectral dimensions, focussing on a flat background
analogous to Minkowski spacetime. After reviewing the properties of fractional
spaces with fixed dimension, presented in a companion paper, we generalize to a
multi-fractional scenario inspired by multi-fractal geometry, where the
dimension changes with the scale. This is related to the renormalization group
properties of fractional field theories, illustrated by the example of a scalar
field. Depending on the symmetries of the Lagrangian, one can define two
models. In one of them, the effective dimension flows from 2 in the ultraviolet
(UV) and geometry constrains the infrared limit to be four-dimensional. At the
UV critical value, the model is rendered power-counting renormalizable.
However, this is not the most fundamental regime. Compelling arguments of
fractal geometry require an extension of the fractional action measure to
complex order. In doing so, we obtain a hierarchy of scales characterizing
different geometric regimes. At very small scales, discrete symmetries emerge
and the notion of a continuous spacetime begins to blur, until one reaches a
fundamental scale and an ultra-microscopic fractal structure. This fine
hierarchy of geometries has implications for non-commutative theories and
discrete quantum gravity. In the latter case, the present model can be viewed
as a top-down realization of a quantum-discrete to classical-continuum
transition.Comment: 1+82 pages, 1 figure, 2 tables. v2-3: discussions clarified and
improved (especially section 4.5), typos corrected, references added; v4:
further typos correcte
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