1,721,147 research outputs found
Nomination de M. Vignati.
No full textB. P. Nomination de M. Vignati. In: Journal de la Société des Américanistes. Tome 24 n°2, 1932. p. 319
Complex interpolation between quasi-normed spaces : a convexity result
No full textWe present a counterexample that solves, with a negative answer, an open problem in the theory of complex interpolation for pairs of quasi-normed spaces. We also show tha a positive answer can be obtained, when dealing with pairs of lattices of functions
Complex interpolation and convexity
Full text linkThe relations between the complex theory of interpolation for families of Banach spaces and the notion of uniform convexity are studied. It is proven that the moduli of uniform convexity vary smoothly with the interpolation spaces;...ew notion of “distance” between Banach spaces is introduced
Large deviation properties for pattern statistics in primitive rational models
Full text linkWe present a large deviation property for pattern statistics representing the number of occurrences of a
symbol in words of given length generated at random according to a rational stochastic model.
This result is proved assuming that the transition matrix of the model is primitive.
We show how the rate function of the large deviation property depends on the main eigenvalues and eigenvectors
of the transition matrices associated with the different symbols of the alphabet.
We also yield general conditions to guarantee that the range of validity of the large deviation estimate
coincides with the whole interval , which represents in our context the largest possible open interval
where the property may hold.
The case of smaller intervals of validity is finally examined by means of examples
Large deviation properties for pattern statistics in primitive rational models
Full text linkWe present a large deviation property for the pattern statistics representing
the number of occurrences of a symbol in words of given length
generated at random according to a rational stochastic model. The result is
obtained assuming that in the model the overall weighted transition matrix
is primitive. In particular we obtain a rate function depending on the main
eigenvalue and eigenvectors of that matrix. Under rather mild conditions,
we show that the range of validity of our large deviation estimate can be
extended to the interval (0,1), which represents in our context the largest
possible open interval of validity of the property
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