25,318 research outputs found
Asperity characteristics of the Olami-Feder-Christensen model of earthquakes
Properties of the Olami-Feder-Christensen (OFC) model of earthquakes are
studied by numerical simulations. The previous study indicated that the model
exhibits ``asperity''-like phenomena, {\it i.e.}, the same region ruptures many
times near periodically [T.Kotani {\it et al}, Phys. Rev. E {\bf 77}, 010102
(2008)]. Such periodic or characteristic features apparently coexist with
power-law-like critical features, {\it e.g.}, the Gutenberg-Richter law
observed in the size distribution. In order to clarify the origin and the
nature of the asperity-like phenomena, we investigate here the properties of
the OFC model with emphasis on its stress distribution. It is found that the
asperity formation is accompanied by self-organization of the highly
concentrated stress state. Such stress organization naturally provides the
mechanism underlying our observation that a series of asperity events repeat
with a common epicenter site and with a common period solely determined by the
transmission parameter of the model. Asperity events tend to cluster both in
time and in space
Separating the basic logics of the basic recurrences
This paper shows that, even at the most basic level, the parallel, countable
branching and uncountable branching recurrences of Computability Logic (see
http://www.cis.upenn.edu/~giorgi/cl.html) validate different principles
Fibonacci words in hyperbolic Pascal triangles
The hyperbolic Pascal triangle is a new
mathematical construction, which is a geometrical generalization of Pascal's
arithmetical triangle. In the present study we show that a natural pattern of
rows of is almost the same as the sequence consisting of
every second term of the well-known Fibonacci words. Further, we give a
generalization of the Fibonacci words using the hyperbolic Pascal triangles.
The geometrical properties of a imply a graph structure
between the finite Fibonacci words.Comment: 10 pages, 4 figures, Acta Univ. Sapientiae, Mathematica, 201
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