453 research outputs found
Random Sequential Generation of Intervals for the Cascade Model of Food Webs
The cascade model generates a food web at random. In it the species are
labeled from 0 to , and arcs are given at random between pairs of the
species. For an arc with endpoints and (), the species is
eaten by the species labeled . The chain length (height), generated at
random, models the length of food chain in ecological data. The aim of this
note is to introduce the random sequential generation of intervals as a Poisson
model which gives naturally an analogous behavior to the cascade model
Majority Orienting Model for the Oscillation of Market Price
The present paper introduces a majority orienting model in which the dealers'
behavior changes based on the influence of the price to show the oscillation of
stock price in the stock market. We show the oscillation of the price for the
model by applying the van der Pol equation which is a deterministic
approximation of our model
Continuum Cascade Model of Directed Random Graphs: Traveling Wave Analysis
We study a class of directed random graphs. In these graphs, the interval
[0,x] is the vertex set, and from each y\in [0,x], directed links are drawn to
points in the interval (y,x] which are chosen uniformly with density one. We
analyze the length of the longest directed path starting from the origin. In
the large x limit, we employ traveling wave techniques to extract the
asymptotic behavior of this quantity. We also study the size of a cascade tree
composed of vertices which can be reached via directed paths starting at the
origin.Comment: 12 pages, 2 figures; figure adde
New results on torus cube packings and tilings
We consider sequential random packing of integral translate of cubes
into the torus . Two special cases are of special
interest:
(i) The case which corresponds to a discrete case of tilings
(considered in \cite{cubetiling,book})
(ii) The case corresponds to a case of continuous tilings
(considered in \cite{combincubepack,book})
Both cases correspond to some special combinatorial structure and we describe
here new developments.Comment: 5 pages, conference pape
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