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Displaying 81 –
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This paper concerns with the finite volume scheme for nonlinear tensor diffusion in image processing. First we provide some basic information on this type of diffusion including a construction of its diffusion tensor. Then we derive a semi-implicit scheme with the help of so-called diamond-cell method (see [Coirier1] and [Coirier2]). Further, we prove existence and uniqueness of a discrete solution given by our scheme. The proof is based on a gradient bound in the tangential direction by a gradient...
Usually the problem of drift estimation for a diffusion process is considered under the hypothesis of ergodicity. It is less often considered under the hypothesis of null-recurrence, simply because there are fewer limit theorems and existing ones do not apply to the whole null-recurrent class. The aim of this paper is to provide some limit theorems for additive functionals and martingales of a general (ergodic or null) recurrent diffusion which would allow us to have a somewhat unified approach...
Any sequence of distinct numbers from [0,1] generates a binary tree by storing the numbers consecutively at the nodes according to a left-right algorithm (or equivalently by sorting the numbers according to the Quicksort algorithm). Let be the height of the tree generated by ObviouslyIf the sequences are generated by independent random variables having the uniform distribution on [0, 1], then it is well known that there exists > such that as for almost all sequences . Recently...
Duplication is the replacement of a factor w within a word by ww. This operation can be used iteratively to generate
languages starting from words or sets of words. By undoing duplications, one can eventually
reach a square-free word, the original word's duplication root. The duplication root is unique, if the length of duplications is fixed.
Based on these unique roots we define the concept of duplication code. Elementary properties are stated, then the conditions under which infinite duplication...
Sets of integers form a monoid, where the product of two sets A
and B is defined as the set containing a+b for all and
. We give a characterization of when a family of finite
sets is a code in this monoid, that is when the sets do not satisfy
any nontrivial relation. We also extend this result for some
infinite sets, including all infinite rational sets.
Sets of integers form a monoid, where the product of two sets A
and B is defined as the set containing a+b for all and
. We give a characterization of when a family of finite
sets is a code in this monoid, that is when the sets do not satisfy
any nontrivial relation. We also extend this result for some
infinite sets, including all infinite rational sets.
We define a kind of cellular automaton called a hexagonal partitioned
cellular automaton (HPCA), and study logical universality of
a reversible HPCA.
We give a specific 64-state reversible HPCA H1, and
show that a Fredkin gate can be embedded in this cellular space.
Since a Fredkin gate is known to be a universal logic element,
logical universality of H1 is concluded.
Although the number of states of H1 is greater than those
of the previous models of reversible CAs having universality,...
Currently displaying 81 –
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