Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Frederik Michel Dekking"'
Publikováno v:
Hydrogeology Journal. 21:1761-1772
Landfills are one of the most common human activities threatening the natural groundwater quality. The landfill may leak, and the corresponding plumes may contaminate an area, entailing costly remediation measures. The objective of the installation o
Autor:
Frederik Michel Dekking, Amro Elfeki
Publikováno v:
Hydrogeology Journal. 15:1439-1455
The CMC (coupled Markov chain) model, which is based on the extension of Markov chains in two-dimensions, is used in the reduction of uncertainty in geological structures when conditioned (i.e., honours the data and their location) on a number of bor
Autor:
Frederik Michel Dekking, Amro Elfeki
Publikováno v:
Geotechnical and Geological Engineering. 23:721-756
This paper is an extension of the two-dimensional coupled Markov chain model developed by Elfeki and Dekking (2001) supplemented with extensive simulations. We focus on the development of various coupled Markov chains models: the so-called fully forw
Publikováno v:
Advances in Applied Probability. Volume 35, Number 2 (2003), 363-376.
This paper studies path lengths in random binary search trees under the random permutation model. It is known that the total path length, when properly normalized, converges almost surely to a nondegenerate random variable Z. The limit distribution i
Autor:
Frederik Michel Dekking, Wenxia Li
Publikováno v:
Nonlinearity. 16:187-199
A well known result states that the set of numbers in base r in which the digits i occur with relative frequency pi for i = 0,...,r−1 is a set of Hausdorff dimension −(1/log r)∑i = 0r−1pilog pi. For instance, decimal numbers in which only the
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 133:345-355
Let C be the homogeneous Cantor set invariant for x→ax and x→1−a+ax. It has been shown by Darst that the Hausdorff dimension of the set of non-differentiability points of the distribution function of uniform measure on C equals (dimHC)2 = (log
Publikováno v:
Petroleum Geoscience. 8:159-165
An extensive series of numerical simulations on two-dimensional flow and miscible transport are carried out. The purpose of performing these simulations is to study the influence of fine-scale heterogeneity patterns (i.e. horizontal laminations, cros
Publikováno v:
Fractals. 10:77-89
We prove for a subclass of recurrent iterated function systems (also called graph-directed iterated function systems) that the boundary of their attractor is again the attractor of a recurrent IFS. Our method is constructive and permits computation o
Autor:
P. v.d. Wal, Frederik Michel Dekking
Publikováno v:
Probability Theory and Related Fields. 120:277-308
Branching cellular automata (BCA) are introduced as generalisations of fractal percolation by admitting neighbour dependence. We associate sequences of random sets with BCA's and study their convergence. In case of convergence we derive the Hausdorff
Autor:
Frederik Michel Dekking, Wenxia Li
Publikováno v:
Monatshefte f�r Mathematik. 131:309-320
Let \(\) be a Moran set associated with the set \(\). Let Γ be a non-empty subset of \(\) with non-empty complement. Associated with the behaviour of success run of symbols from Γ in the coding space \(\) is a decomposition of F such that $$$$