3,916 research outputs found
Generalised dimensions of measures on almost self-affine sets
We establish a generic formula for the generalised q-dimensions of measures
supported by almost self-affine sets, for all q>1. These q-dimensions may
exhibit phase transitions as q varies. We first consider general measures and
then specialise to Bernoulli and Gibbs measures. Our method involves estimating
expectations of moment expressions in terms of `multienergy' integrals which we
then bound using induction on families of trees
Contour lines of the discrete scale invariant rough surfaces
We study the fractal properties of the 2d discrete scale invariant (DSI)
rough surfaces. The contour lines of these rough surfaces show clear DSI. In
the appropriate limit the DSI surfaces converge to the scale invariant rough
surfaces. The fractal properties of the 2d DSI rough surfaces apart from
possessing the discrete scale invariance property follow the properties of the
contour lines of the corresponding scale invariant rough surfaces. We check
this hypothesis by calculating numerous fractal exponents of the contour lines
by using numerical calculations. Apart from calculating the known scaling
exponents some other new fractal exponents are also calculated.Comment: 9 Pages, 12 figure
3D layer-integrated modelling of flow and sediment transport through a river regulated reservoir
River engineeringNumerical modelling in river engineerin
Fractal Descriptors in the Fourier Domain Applied to Color Texture Analysis
The present work proposes the development of a novel method to provide
descriptors for colored texture images. The method consists in two steps. In
the first, we apply a linear transform in the color space of the image aiming
at highlighting spatial structuring relations among the color of pixels. In a
second moment, we apply a multiscale approach to the calculus of fractal
dimension based on Fourier transform. From this multiscale operation, we
extract the descriptors used to discriminate the texture represented in digital
images. The accuracy of the method is verified in the classification of two
color texture datasets, by comparing the performance of the proposed technique
to other classical and state-of-the-art methods for color texture analysis. The
results showed an advantage of almost 3% of the proposed technique over the
second best approach.Comment: Chaos, Volume 21, Issue 4, 201
Is practice aligned with the principles? Implementing New Urbanism in Perth, Western Australia
New Urbanism is a recent American reform approach to urban development, which attempts to reduce car dependence through traditional design qualities such as connected streets with paths, higher density and mix with local centres. The Western Australian State Government has developed ‘Liveable Neighbourhoods’, which is a context-specific design code based on new Urbanist principles. This design code has been applied in the development of several dozen new neighbourhoods in Perth over the last decade. This paper shows that these developments do create more local walking but are no different to conventional suburban development in their regional car dependence. The causes of this are pursued in terms of a gap between principles and practice
Hurst Coefficient in long time series of population size: Model for two plant populations with different reproductive strategies
Can the fractal dimension of fluctuations in population size be used to estimate extinction risk? The problem with estimating this fractal dimension is that the lengths of the time series are usually too short for conclusive results. This study answered this question with long time series data obtained from an iterative competition model. This model produces competitive extinction at different perturbation intensities for two different germination strategies: germination of all seeds vs. dormancy in half the seeds. This provided long time series of 900 years and different extinction risks. The results support the hypothesis for the effectiveness of the Hurst coefficient for estimating extinction risk
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
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