25,085 research outputs found
Clan Properties in Parton Showers
By considering clans as genuine elementary subprocesses, i.e., intermediate
parton sources in the Simplified Parton Shower model, a generalized version of
this model is defined. It predicts analytically clan properties at parton level
in agreement with the general trends observed experimentally at hadronic level
and in Monte Carlo simulations both at partonic and hadronic level. In
particular the model shows a linear rising in rapidity of the average number of
clans at fixed energy of the initial parton and its subsequent bending for
rapidity intervals at the border of phase space, and approximate energy
independence of the average number of clans in fixed rapidity intervals. The
energy independence becomes stricter by properly normalizing the average number
of clans.Comment: (27 pages in Plain TeX plus 10 Postscript Figures, all compressed via
uufiles) DFTT 7/9
Cross-Document Pattern Matching
We study a new variant of the string matching problem called cross-document
string matching, which is the problem of indexing a collection of documents to
support an efficient search for a pattern in a selected document, where the
pattern itself is a substring of another document. Several variants of this
problem are considered, and efficient linear-space solutions are proposed with
query time bounds that either do not depend at all on the pattern size or
depend on it in a very limited way (doubly logarithmic). As a side result, we
propose an improved solution to the weighted level ancestor problem
Fast Dynamic Pointer Following via Link-Cut Trees
In this paper, we study the problem of fast dynamic pointer following: given
a directed graph where each vertex has outdegree , efficiently support
the operations of i) changing the outgoing edge of any vertex, and ii) find the
vertex vertices `after' a given vertex. We exhibit a solution to this
problem based on link-cut trees that requires time per operation,
and prove that this is optimal in the cell-probe complexity model.Comment: 7 page
Simple and Efficient Fully-Functional Succinct Trees
The fully-functional succinct tree representation of Navarro and Sadakane
(ACM Transactions on Algorithms, 2014) supports a large number of operations in
constant time using bits. However, the full idea is hard to
implement. Only a simplified version with operation time has been
implemented and shown to be practical and competitive. We describe a new
variant of the original idea that is much simpler to implement and has
worst-case time for the operations. An implementation based on
this version is experimentally shown to be superior to existing
implementations
A theoretical investigation of the effect of proliferation and\ud adhesion on monoclonal conversion in the colonic crypt
Colorectal cancers are initiated by the accumulation of mutations in the colonic epithelium. Using a spatially structured cell-based model of a colonic crypt, we investigate the likelihood that the progeny of a mutated cell will dominate, or be sloughed out of, a crypt. Our approach is to perform multiple simulations, varying the spatial location of the initial mutation, and its proliferative and adhesive properties, to obtain statistical distributions for the probability of domination. Our simulations lead us to make a number of predictions. The process of monoclonal conversion always occurs, and does not require that the cell which initially gave rise to the population remains in the crypt. Mutations occurring more than one to two cells from the base of the crypt are unlikely to become the dominant clone. The probability of a mutant clone persisting in the crypt is sensitive to dysregulation of adhesion, and comparison with a one-dimensional model suggests that this is caused by competition directly at the base of the crypt.\ud
We also predict that increases in the extent of the spatial domain in which the mutant cells proliferate cause counter-intuitive non-linear changes to the probability of its fixation, due to effects that cannot be captured in simpler models
Correcting Errors in the Bostrom/Kulczycki Simulation Arguments
Both patched versions of the Bostrom/Kulczycki simulation argument contain serious objective errors, discovered while attempting to formalize them in predicate logic. The English glosses of both versions involve badly misleading meanings of vague magnitude terms, which their impressiveness benefits from. We fix the errors, prove optimal versions of the arguments, and argue that both are much less impressive than they originally appeared. Finally, we provide a guide for readers to evaluate the simulation argument for themselves, using well-justified settings of the argument parameters that have simple, accurate statements in English, which are easier to understand and critique than the statements in the original paper
Compressed Subsequence Matching and Packed Tree Coloring
We present a new algorithm for subsequence matching in grammar compressed
strings. Given a grammar of size compressing a string of size and a
pattern string of size over an alphabet of size , our algorithm
uses space and or time. Here
is the word size and is the number of occurrences of the pattern. Our
algorithm uses less space than previous algorithms and is also faster for
occurrences. The algorithm uses a new data structure
that allows us to efficiently find the next occurrence of a given character
after a given position in a compressed string. This data structure in turn is
based on a new data structure for the tree color problem, where the node colors
are packed in bit strings.Comment: To appear at CPM '1
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