We study a random even subgraph of a finite graph G with a general edge-weight p ∈ (0, 1). We demonstrate how it may be obtained from a certain random-cluster measure on G, and we propose a sampling algorithm based on coupling from the past. A random even subgraph of a planar lattice undergoes a phase transition at the parameter-value 12pc, where pc is the critical point of the q = 2 random-clu...

In the context of the unified model of Seyfert galaxies, we use observations from the literature and a radiative transfer model to investigate the near–IR to mm emission produced by the presumed torus in the Circinus galaxy, from 2µm to 1.3mm. From the infrared SED modelling, we find that the total luminosity (L IR) in this wavelength range, consists of similar contributions from the torus and ...

In the context of the unified model of Seyfert galaxies, we use observations from the literature and a radiative transfer model to investigate the near–IR to mm emission produced by the presumed torus in the Circinus galaxy, from 2μm to 1.3mm. From the infrared SED modelling, we find that the total luminosity (LIR) in this wavelength range, consists of similar contributions from the torus and s...

We explore the relationship between the Ising model with inverse temperature β, the q = 2 random-cluster model with edge-parameter p = 1− e−2β , and the random even subgraph with edge-parameter 12p. For a planar graph G, the boundary edges of the + clusters of the Ising model on the planar dual of G forms a random even subgraph of G. A coupling of the random even subgraph of G and the q = 2 ran...

We analyse the consequences of the recently measured parallax of SSCygni (Harrison et al. 1999) on the accretion disc limit cycle model. Using the observed long term light curve of SSCyg and d = 166± 12pc, we obtain for the mean mass transfer rate Ṁ tr = 4.2± 1.7× 10 g s. In addition, we calculate the vertical structure of the accretion disc taking into account heating of the outer disc by the ...

We present absolute parallaxes and relative proper motions for the central stars of the planetary nebulae NGC6853 (The Dumbbell), NGC 7293 (The Helix), Abell 31, and DeHt 5. This paper details our reduction and analysis using DeHt 5 as an example. We obtain these planetary nebula nuclei (PNNi) parallaxes with astrometric data from Fine Guidance Sensors FGS 1R and FGS 3, white-light interferomet...

Covariance structure analysis plays an important role in social and behavioral sciences to evaluate hypothesized in uences among unmeasured latent and observed variables. Existing methods for analyzing these data rely on unstructured sample means and covariances estimated under normality, and evaluate a proposed structural model using statistical theory based on normal theory MLE and generalize...