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Pointwise characteristic factors for the multidimensional return times theorem
Pointwise characteristic factors multidimensional return times theorem
2011/1/21
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain nonconventional avera...
We show that the distribution of the first return time τ to the origin, v, of a simple randomwalk on an infinite recurrent graph is heavy tailed and non-concentrated.
Extreme event return times in long-term memory processes near 1/f
Extreme event return times long-term memory processes 1/f
2009/11/2
The distribution of extreme event return times and their correlations are analyzed in observed and simulated long-term memory (LTM) time series with 1/f power spectra. The analysis is based on tropica...