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Finally, we just mention in passing some intriguing analogies between, on the one hand, a certain stratification of the cone of all metrics de- fined on a finite set X that is based
Key words: Self-similar Markov process, L´evy process, Lamperti representation, last pas- sage time, time reversal, integral test, law of the iterated logarithm.. AMS 2000
Stochastic fixed point equation, weighted branching process, infinite divisibility, L´evy measure, Choquet-Deny theorem, stable distributions.. AMS 2000
However, our results does not imply an extension of LIL in ( 1.7 ) and are far from optimal yet, and leave many problems open. These results will follow from the study of L´evy
Using the high moment method and the Feynman-Kac semigroup technique, we obtain moder- ate deviations and laws of the iterated logarithm for the volume of the intersections of two
Key words: Character, convex cone, Laplace transform, LePage series, L´evy measure, point process, Poisson process, random measure, random set, semigroup, stable
Our interest in the questions considered in this paper was sparked by a related, but apparently more difficult, problem concerning coalescing L´evy processes on the circle that
Using the past incre- ments of the evolution, we show that the law of robustly quasi-stationary systems must obey the Ghirlanda-Guerra identities, which first appear in the study
