909 research outputs found
Prediction Possibility in the Fractal Overlap Model of Earthquakes
The two-fractal overlap model of earthquake shows that the contact area
distribution of two fractal surfaces follows power law decay in many cases and
this agrees with the Guttenberg-Richter power law. Here, we attempt to predict
the large events (earthquakes) in this model through the overlap time-series
analysis. Taking only the Cantor sets, the overlap sizes (contact areas) are
noted when one Cantor set moves over the other with uniform velocity. This
gives a time series containing different overlap sizes. Our numerical study
here shows that the cumulative overlap size grows almost linearly with time and
when the overlapsizes are added up to a pre-assigned large event (earthquake)
and then reset to `zero' level, the corresponding cumulative overlap sizes
grows upto some discrete (quantised) levels. This observation should help to
predict the possibility of `large events' in this (overlap) time series.Comment: 6 pages, 6 figures. To be published as proc. NATO conf. CMDS-10,
Soresh, Israel, July 2003. Eds. D. J. Bergman & E. Inan, KLUWER PUB
Patterns in high-frequency FX data: Discovery of 12 empirical scaling laws
We have discovered 12 independent new empirical scaling laws in foreign
exchange data-series that hold for close to three orders of magnitude and
across 13 currency exchange rates. Our statistical analysis crucially depends
on an event-based approach that measures the relationship between different
types of events. The scaling laws give an accurate estimation of the length of
the price-curve coastline, which turns out to be surprisingly long. The new
laws substantially extend the catalogue of stylised facts and sharply constrain
the space of possible theoretical explanations of the market mechanisms.Comment: 26 pages, 3 figures, 23 tables,2nd version (text made more concise
and readable, algorithm pseudocode, results unchanged), 5-year datasets
(USD-JPY, EUR-USD) provided at http://www.olsen.ch/more/datasets
The geometry of fractal percolation
A well studied family of random fractals called fractal percolation is
discussed. We focus on the projections of fractal percolation on the plane. Our
goal is to present stronger versions of the classical Marstrand theorem, valid
for almost every realization of fractal percolation. The extensions go in three
directions: {itemize} the statements work for all directions, not almost all,
the statements are true for more general projections, for example radial
projections onto a circle, in the case , each projection has not
only positive Lebesgue measure but also has nonempty interior. {itemize}Comment: Survey submitted for AFRT2012 conferenc
The Freezeout Hypersurface at LHC from particle spectra: Flavor and Centrality Dependence
We extract the freezeout hypersurface in Pb-Pb collisions at 2760 GeV at the CERN Large Hadron Collider by analysing the data on
transverse momentum spectra within a unified model for chemical and kinetic
freezeout. The study has been done within two different schemes of freezeout,
single freezeout where all the hadrons freezeout together versus double
freezeout where those hadrons with non-zero strangeness content have different
freezeout parameters compared to the non-strange ones. We demonstrate that the
data is better described within the latter scenario. We obtain a strange
freezeout hypersurface which is smaller in volume and hotter compared to the
non-strange freezeout hypersurface for all centralities with a reduction in
around . We observe from the extracted parameters that
the ratio of the transverse size to the freezeout proper time is invariant
under expansion from the strange to the non-strange freezeout surfaces across
all centralities. Moreover, except for the most peripheral bins, the ratio of
the non-strange and strange freezeout proper times is close to .Comment: Final version accepted for publicatio
Simple fractal method of assessment of histological images for application in medical diagnostics
We propose new method of assessment of histological images for medical diagnostics. 2-D image is preprocessed to form 1-D landscapes or 1-D signature of the image contour and then their complexity is analyzed using Higuchi's fractal dimension method. The method may have broad medical application, from choosing implant materials to differentiation between benign masses and malignant breast tumors
Measuring portfolio performance using a modified measure of risk
This paper reports the results of an investigation into the properties of a theoretical modification of beta proposed by Leland (1999) and based on earlier work of Rubinstein (1976). It is shown that when returns are elliptically symmetric, beta is the appropriate measure of risk and that there are other situations in which the modified beta will be similar to the traditional measure based on the capital asset pricing model. For the case where returns have a normal distribution, it is shown that the criterion either does not exist or reduces exactly to the conventional beta. It is therefore conjectured that the modified measure will only be useful for portfolios that have nonstandard return distributions which incorporate skewness. For such situations, it is shown how to estimate the measure using regression and how to compare the resulting statistic with a traditional estimated beta using Hotelling's test. An empirical study based on stocks from the FTSE350 does not find evidence to support the use of the new measure even in the presence of skewness.Journal of Asset Management (2007) 7, 388-403. doi:10.1057/palgrave.jam.225005
When Models Interact with their Subjects: The Dynamics of Model Aware Systems
A scientific model need not be a passive and static descriptor of its
subject. If the subject is affected by the model, the model must be updated to
explain its affected subject. In this study, two models regarding the dynamics
of model aware systems are presented. The first explores the behavior of
"prediction seeking" (PSP) and "prediction avoiding" (PAP) populations under
the influence of a model that describes them. The second explores the
publishing behavior of a group of experimentalists coupled to a model by means
of confirmation bias. It is found that model aware systems can exhibit
convergent random or oscillatory behavior and display universal 1/f noise. A
numerical simulation of the physical experimentalists is compared with actual
publications of neutron life time and {\Lambda} mass measurements and is in
good quantitative agreement.Comment: Accepted for publication in PLoS-ON
How a plantar pressure-based, tongue-placed tactile biofeedback modifies postural control mechanisms during quiet standing
The purpose of the present study was to determine the effects of a plantar
pressure-based, tongue-placed tactile biofeedback on postural control
mechanisms during quiet standing. To this aim, sixteen young healthy adults
were asked to stand as immobile as possible with their eyes closed in two
conditions of No-biofeedback and Biofeedback. Centre of foot pressure (CoP)
displacements, recorded using a force platform, were used to compute the
horizontal displacements of the vertical projection the centre of gravity
(CoGh) and those of the difference between the CoP and the vertical projection
of the CoG (CoP-CoGv). Altogether, the present findings suggest that the main
way the plantar pressure-based, tongue-placed tactile biofeedback improves
postural control during quiet standing is via both a reduction of the
correction thresholds and an increased efficiency of the corrective mechanism
involving the CoGh displacements
Impact of Investor's Varying Risk Aversion on the Dynamics of Asset Price Fluctuations
While the investors' responses to price changes and their price forecasts are
well accepted major factors contributing to large price fluctuations in
financial markets, our study shows that investors' heterogeneous and dynamic
risk aversion (DRA) preferences may play a more critical role in the dynamics
of asset price fluctuations. We propose and study a model of an artificial
stock market consisting of heterogeneous agents with DRA, and we find that DRA
is the main driving force for excess price fluctuations and the associated
volatility clustering. We employ a popular power utility function,
with agent specific and
time-dependent risk aversion index, , and we derive an approximate
formula for the demand function and aggregate price setting equation. The
dynamics of each agent's risk aversion index, (i=1,2,...,N), is
modeled by a bounded random walk with a constant variance . We show
numerically that our model reproduces most of the ``stylized'' facts observed
in the real data, suggesting that dynamic risk aversion is a key mechanism for
the emergence of these stylized facts.Comment: 17 pages, 7 figure
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