Topology of the Universe


		Topology of the Universe
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-Introduction
-Simulation Parameters
-Data
-References
-Credit

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Introduction

Galaxy bias and the cosmic variance: We use two large CDM simulations to study the statistical properties of biased "galaxy" distribution and to estimate the sample variance due to the choice of the observer position, so-called cosmic variance. For each simulations we employ two empirical bias schemes such that the lowest order statistical property (two-point correlation function) of the "galaxies" closely resembles that of observed galaxies. We then use the Minkowski functionals to measure higher-order statistics.

Simulation parameters

Please see Very Large Simulations.

Data

Figure 1 Distribution of the model biased "galaxies"

Bias t1
Bias t1

Bias L1
Bias L1

Bias t2
Bias t2

Bias L2
Bias L2

Figure 2 Two-point correlation functions of the biased "galaxies"

Shown below are the computed two-point correlation functions for our 4 biased "galaxy" samples. The observed correlation function (by APM galaxy survey) is plotted as open squares. Although all of our samples have similar values for this statistics, there is a significant difference in their higher-order statistics, see Figure 3 below. It is interesting that the 'galaxy' distributions look very different as shown in Figure 1.

2-point correlation functions plot

Figure 3 The Minkowski functional (v1) measured for the biased "galaxies"

The quantity v1 for the 'galaxy' distributions are plotted against the "ball radii", bias L1 (solid lines) and bias L2(dotted line).

Minkowski funtional (v1) plot

References

Schmalzing, Yoshida, Diaferio, in preparation.

Credit

Here is an example of proper credit for these Virgo data.
"The simulations in this paper were carried out by the Virgo Supercomputing Consortium using computers based at Computing Centre of the Max-Planck Society in Garching and at the Edinburgh Parallel Computing Centre. The data are publicly available at www.mpa-garching.mpg.de/galform/virgo/vls/resim.shtml"

Comments to: N. Yoshida naoki@mpa-garching.mpg.de