Les semi-martingales et la théorie de la mesure
Les semi-martingales formelles
Les systèmes simples sont disjoints de ceux qui sont infiniment divisibles et plongeables dans un flot
We prove that simple transformations are disjoint from those which are infinitely divisible and embeddable in a flow. This is a reinforcement of a previous result of A. del Junco and M. Lemańczyk [1] who showed that simple transformations are disjoint from Gaussian processes.
Les transformations de Chacon : combinatoire, structure géométrique, lien avec les systèmes de complexité
Les variétés hyperboliques sont des minima locaux de l'entropie topologique.
Less than many translates of a compact nullset may cover the real line
We answer a question of Darji and Keleti by proving that there exists a compact set C₀ ⊂ ℝ of measure zero such that for every perfect set P ⊂ ℝ there exists x ∈ ℝ such that (C₀+x) ∩ P is uncountable. Using this C₀ we answer a question of Gruenhage by showing that it is consistent with ZFC (as it follows e.g. from ) that less than many translates of a compact set of measure zero can cover ℝ.
Lettres d'Henri Lebesgue à Émile Borel
Levels of concentration between exponential and Gaussian
Lévy-Gromov's isometric inequality for an infinite dimensional diffusion generator.
Lévy-Khinchine representation and Banach spaces of type and cotype
Liapunov Decomposition of a Vector Measure.
Lifting and Desintegration
Lifting Measures to Markov Extensions.
Limites et fonctions d'ensemble
Limites médiales d'après Mokobodzki
Limiting case of the boundedness of fractional integral operators on nonhomogeneous space.
Limiting curlicue measures for theta sums
We consider the ensemble of curves {γα, N: α∈(0, 1], N∈ℕ} obtained by linearly interpolating the values of the normalized theta sum N−1/2∑n=0N'−1exp(πin2α), 0≤N'<N. We prove the existence of limiting finite-dimensional distributions for such curves as N→∞, when α is distributed according to any probability measure λ, absolutely continuous w.r.t. the Lebesgue measure on [0, 1]. Our Main Theorem generalizes a result by Marklof [Duke Math. J.97 (1999) 127–153] and Jurkat and van Horne [Duke...
Limits of families of measure algebras
Limits of inverse systems of measures
In this paper the problem of the existence of an inverse (or projective) limit measure of an inverse system of measure spaces is approached by obtaining first a measure on the whole product space .The measure will have many of the properties of a limit measure provided only that the measures possess mild regularity properties.It is shown that can only exist when is itself a “limit” measure in a more general sense, and that must then be the restriction of to the projective limit...
Limsup random fractals.