Probabilistic proofs of hook length formulas involving trees.
Probabilistic properties of a Markov-switching periodic process
In this paper, we propose an extension of a periodic () model to a Markov-switching periodic (-), and provide some probabilistic properties of this class of models. In particular, we address the question of strictly periodically...
Probabilistic representations of operator semigroups - A unifying approach.
Probabilistische Metriken auf der Menge der nicht negativen Verteilungsfunktion.
Probabilité mathématique et inférence statistique. Quelques souvenirs personnels sur une importante étape du progrès scientifique
Probabilités cylindriques, type et ordre. Applications radonifiantes
Probabilités de présence dans un processus de branchement spatial markovien
Probabilités et philosophie des mathématiques chez Cournot
L’article se propose de montrer comment, en 1843, Cournot s’efforce de répondre à la crise des fondements qui ébranle le calcul des probabilités, en lui assignant le statut d’une théorie mathématique pure et en distinguant les significations objective et subjective de la probabilité, afin de mesurer la portée de ses applications. On est alors conduit à interroger la représentation proposée par Cournot des mathématiques et de leur rapport au réel, pour mettre à jour la relation qui unit son projet...
Probabilities as values of modular forms and continued fractions.
Probabilities on contractible locally compact groups : the existence of universal distributions in the sense of W. Doeblin
Probabilities on non-commutative semigroups
Probability against condition number and sampling of multivariate trigonometric random polynomials.
Probability & incompressible Navier-Stokes equations: an overview of some recent developments.
Probability and quanta: why back to Nelson?
We establish circumstances under which the dispersion of passive contaminants in a forced flow can be consistently interpreted as a Markovian diffusion process.
Probability and quantum symmetries. I. The theorem of Noether in Schrödinger's euclidean quantum mechanics
Probability and statistics at the turn of 1900: hopes and disappointments.
Probability and statistics in Italy during the First World War I: Cantelli and the laws of large numbers.
Probability density for a hyperbolic SPDE with time dependent coefficients
We prove the existence and smoothness of density for the solution of a hyperbolic SPDE with free term coefficients depending on time, under hypoelliptic non degeneracy conditions. The result extends those proved in Cattiaux and Mesnager, PTRF123 (2002) 453-483 to an infinite dimensional setting.
Probability distribution solutions of a general linear equation of infinite order
Let (Ω,,P) be a probability space and let τ: ℝ × Ω → ℝ be strictly increasing and continuous with respect to the first variable, and -measurable with respect to the second variable. We obtain a partial characterization and a uniqueness-type result for solutions of the general linear equation in the class of probability distribution functions.
Probability distribution solutions of a general linear equation of infinite order, II
Let (Ω,,P) be a probability space and let τ: ℝ × Ω → ℝ be a mapping strictly increasing and continuous with respect to the first variable, and -measurable with respect to the second variable. We discuss the problem of existence of probability distribution solutions of the general linear equation . We extend our uniqueness-type theorems obtained in Ann. Polon. Math. 95 (2009), 103-114.