126 research outputs found
Group theoretic dimension of stationary symmetric \alpha-stable random fields
The growth rate of the partial maximum of a stationary stable process was
first studied in the works of Samorodnitsky (2004a,b), where it was
established, based on the seminal works of Rosi\'nski (1995,2000), that the
growth rate is connected to the ergodic theoretic properties of the flow that
generates the process. The results were generalized to the case of stable
random fields indexed by Z^d in Roy and Samorodnitsky (2008), where properties
of the group of nonsingular transformations generating the stable process were
studied as an attempt to understand the growth rate of the partial maximum
process. This work generalizes this connection between stable random fields and
group theory to the continuous parameter case, that is, to the fields indexed
by R^d.Comment: To appear in Journal of Theoretical Probability. Affiliation of the
authors are update
A Precious Bequest: Contemporary Research with the WPA-CCC Collections from Moundville, Alabama *
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/72459/1/j.1749-6632.1981.tb28184.x.pd
A muon-track reconstruction exploiting stochastic losses for large-scale Cherenkov detectors
IceCube is a cubic-kilometer Cherenkov telescope operating at the South Pole. The main goal of IceCube is the detection of astrophysical neutrinos and the identification of their sources. High-energy muon neutrinos are observed via the secondary muons produced in charge current interactions with nuclei in the ice. Currently, the best performing muon track directional reconstruction is based on a maximum likelihood method using the arrival time distribution of Cherenkov photons registered by the experiment\u27s photomultipliers. A known systematic shortcoming of the prevailing method is to assume a continuous energy loss along the muon track. However at energies >1 TeV the light yield from muons is dominated by stochastic showers. This paper discusses a generalized ansatz where the expected arrival time distribution is parametrized by a stochastic muon energy loss pattern. This more realistic parametrization of the loss profile leads to an improvement of the muon angular resolution of up to 20% for through-going tracks and up to a factor 2 for starting tracks over existing algorithms. Additionally, the procedure to estimate the directional reconstruction uncertainty has been improved to be more robust against numerical errors
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