We present a new compilation of Type Ia supernovae (SNe Ia), a new dataset of low-redshift nearby-Hubble-flow SNe and new analysis procedures to work with these heterogeneous compilations. This " Union " compilation of 414 SN Ia, which reduces to 307 SNe after selection cuts, includes the recent large samples of SNe Ia from the Supernova Legacy Survey and… (More)
The district of southern California is divided into small cubic cells. Each cell is regarded as a vertex of a random graph, when earthquakes with any values of magnitude occur therein. Successive earthquakes define an edge and a loop. Then, the seismic data are analyzed from the viewpoint of an evolving random network. It is found that the distribution of… (More)
We report on work to increase the number of well-measured Type Ia supernovae (SNe Ia) at high redshifts. Light curves, including high signal-to-noise HST data, and spectra of six SNe Ia that were discovered during 2001 are presented. Additionally, for the two SNe with z > 1, we present ground-based J-band photometry from Gemini and the VLT. These are among… (More)
Discoveries of the scale-free and small-world features are reported on a network constructed from the seismic data. It is shown that the connectivity distribution decays as a power law, and the value of the degrees of separation, i.e., the characteristic path length or the diameter, between two earthquakes (as the vertices) chosen at random takes a small… (More)
— The Internet is a complex system, whose temporal behavior is highly nonstationary and exhibits sudden drastic changes regarded as main shocks or catastrophes. Here, analyzing a set of time series data of round-trip time measured in echo experiment with the Ping Command, the property of " aftershocks " (i.e., catastrophes of smaller scales) after a main… (More)
The cumulative probability distribution of sparseness time interval in the Internet is studied by the method of data analysis. Round-trip time between a local host and a destination host through ten odd routers is measured using the ping command, i.e., doing an echo experiment. The data are found to be well described by q-exponential distributions, which… (More)
Discovery of a new law for the three-dimensional spatial distance between the foci of successive earthquakes is reported. Analyzing the seismic data taken between 1984 and 2001 in southern Californian, it is found that the cumulative distribution of the distances follows the modified Zipf-Mandelbrot law, showing complexity of geometry of the events.