3,626 research outputs found
Extremal maps of the universal hyperbolic solenoid
We show that the set of points in the Teichmuller space of the universal
hyperbolic solenoid which do not have a Teichmuller extremal representative is
generic (that is, its complement is the set of the first kind in the sense of
Baire). This is in sharp contrast with the Teichmuller space of a Riemann
surface where at least an open, dense subset has Teichmuller extremal
representatives. In addition, we provide a sufficient criteria for the
existence of Teichmuller extremal representatives in the given homotopy class.
These results indicate that there is an interesting theory of extremal (and
uniquely extremal) quasiconformal mappings on hyperbolic solenoids.Comment: LaTeX, 15 page
Convex regions in the plane and their domes
We make a detailed study of the relation of a euclidean convex region to . The dome is the relative boundary, in the upper halfspace model of hyperbolic space, of the hyperbolic convex hull of the complement of . The first result is to prove that the nearest point retraction is 2-quasiconformal. The second is to establish precise estimates of the distortion of near
On the Zeros of Functions in the Bers Space
We present some results on the distribution of zeros of functions in the Bers space Q(D), showing how the distribution depends on the bounds of the growth of │ƒ(z)│ HS │z│ƒ → 1, for ƒ Є Q(D). We also exhibit an open and dense subset, M C Q(D), which has the property of uniform control over the number of zeros in disks of hyperbolic radius l containes in D
Assessing non-linear models for galaxy clustering I: unbiased growth forecasts from multipole expansion
We assess the performance of the Taruya, Nishimichi and Saito (TNS) model for
the halo redshift space power spectrum, focusing on utilising mildly non-linear
scales to constrain the growth rate of structure f. Using simulations with
volume and number density typical of forthcoming Stage IV galaxy surveys, we
determine ranges of validity for the model at redshifts z = 0.5 and z = 1. We
proceed to perform a Bayesian MCMC analysis utilising the monopole, quadrupole,
and hexadecapole spectra, followed by an exploratory Fisher matrix analysis. As
previously noted in other forecasts as well as in real data analyses, we find
that including the hexadecapole can significantly improve the constraints.
However, a restricted range of scales is required for the hexadecapole in order
for the growth parameter estimation to remain unbiased, limiting the
improvement. We consistently quantify these effects by employing the multipole
expansion formalism in both our Fisher and MCMC forecasts.Comment: 12 pages, 7 figures, 2 tables, accepted in OJ
Imaging the charge transport in arrays of CdSe nanocrystals
A novel method to image charge is used to measure the diffusion coefficient
of electrons in films of CdSe nanocrystals at room temperature. This method
makes possible the study of charge transport in films exhibiting high
resistances or very small diffusion coefficients.Comment: 4 pages, 4 jpg figure
Reversed combustion of waste in a grate furnace - an experimental study
Most widely used concept for municipal solid waste (MSW) incineration is combustion on a moving grate with energy recovery. In MSW incinerators fresh waste stacked on a grate enters the combustion chamber, heats up by radiation from the flame above the layer and ignition occurs. Ignition front propagates downwards producing heat for drying and devolatilisation of the fresh waste below until it reaches the grate. The present project is investigating the so called reversed combustion of waste on a grate. In this new concept the fuel layer is ignited by means of preheated air from below without any external ignition source. As a result a combustion front will be formed close to the grate and will propagate upwards. In order to investigate reversed combustion an experimental set-up that is able to simulate a real moving grate furnace is designed. Experimental study was conducted to determine the influence of different factors (amount of primary air, fuel moisture content etc.) on process parameters. In this paper, the detailed description of setup, as well as the results from experiments will be presented
Testing the Warm Dark Matter paradigm with large-scale structures
We explore the impact of a LWDM cosmological scenario on the clustering
properties of large-scale structure in the Universe. We do this by extending
the halo model. The new development is that we consider two components to the
mass density: one arising from mass in collapsed haloes, and the second from a
smooth component of uncollapsed mass. Assuming that the nonlinear clustering of
dark matter haloes can be understood, then from conservation arguments one can
precisely calculate the clustering properties of the smooth component and its
cross-correlation with haloes. We then explore how the three main ingredients
of the halo calculations, the mass function, bias and density profiles are
affected by WDM. We show that, relative to CDM: the mass function is suppressed
by ~50%, for masses ~100 times the free-streaming mass-scale; the bias of low
mass haloes can be boosted by up to 20%; core densities of haloes can be
suppressed. We also examine the impact of relic thermal velocities on the
density profiles, and find that these effects are constrained to scales r<1
kpc/h, and hence of little importance for dark matter tests, owing to
uncertainties in the baryonic physics. We use our modified halo model to
calculate the non-linear matter power spectrum, and find significant
small-scale power in the model. However, relative to the CDM case, the power is
suppressed. We then calculate the expected signal and noise that our set of
LWDM models would give for a future weak lensing mission. We show that the
models should in principle be separable at high significance. Finally, using
the Fisher matrix formalism we forecast the limit on the WDM particle mass for
a future full-sky weak lensing mission like Euclid or LSST. With Planck priors
and using multipoles l<5000, we find that a lower limit of 2.6 keV should be
easily achievable.Comment: Replaced with version accepted for publication in PRD. Inclusion of:
new figure showing dependence of predictions on cut-off mass; new discussion
of mass function; updated refs. 18 pages, 10 Figure
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