6,826 research outputs found
Deciding Equivalence of Linear Tree-to-Word Transducers in Polynomial Time
We show that the equivalence of deterministic linear top-down tree-to-word
transducers is decidable in polynomial time. Linear tree-to-word transducers
are non-copying but not necessarily order-preserving and can be used to express
XML and other document transformations. The result is based on a partial normal
form that provides a basic characterization of the languages produced by linear
tree-to-word transducers.Comment: short version of this paper will be published in the proceedings of
the 20th Conference on Developments in Language Theory (DLT 2016), Montreal,
Canad
A conditioning principle for Galton-Watson trees
We show that an infinite Galton-Watson tree, conditioned on its martingale
limit being smaller than \eps, converges as \eps\downarrow 0 in law to the
regular -ary tree, where is the essential minimum of the offspring
distribution. This gives an example of entropic repulsion where the limit has
no entropy.Comment: This is now superseded by a new paper, arXiv:1204.3080, written
jointly with Nina Gantert. The new paper contains much stronger results (e.g.
the two-point concentration of the level at which the Galton-Watson tree
ceases to be minimal) based on a significantly more delicate analysis, making
the present paper redundan
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