Titlebook: Séminaire de Probabilités L; Catherine Donati-Martin,Antoine Lejay,Alain Rouaul Book 2019 Springer Nature Switzerland AG 2019 Diffusion Pr

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Complementability and Maximality in Different Contexts: Ergodic Theory, Brownian and Poly-Adic Filtrce, in 2008 by Brossard and Leuridan in the context of the Brownian filtrations, and in 2017 by Leuridan in the context of the poly-adic filtrations indexed by the non-positive integers. We present here some striking analogies and also some differences existing between these three contexts.

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Uniform Entropy Scalings of Filtrationsrmed as .. Among our main results, we prove that the scaled entropy of the filtration generated by the Vershik progressive predictions of a random variable is equal to the scaled entropy of this random variable. Standardness of a filtration is the case when the scaled entropy with a constant scaling

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Solving Rough Differential Equations with the Theory of Regularity Structuresartin Hairer for solving semi-linear partial differential stochastic equations were inspired by the rough path theory. We take a pedagogical approach to facilitate the understanding of this new theory. We recover results of the rough path theory with the regularity structure framework. Hence, we sho

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On the Euler–Maruyama Scheme for Degenerate Stochastic Differential Equations with Non-sticky Conditferential equation d. = .(.)d. with non-sticky condition. For proving this, we first prove that the Euler–Maruyama scheme also satisfies non-sticky condition. As an example, we consider stochastic differential equation d. = |.|.d., . ∈ (0, 1∕2) with non-sticky boundary condition and we give some rem

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0075-8434 results.This milestone 50.th. volume of the "Séminaire de Probabilités" pays tribute with a series of memorial texts to one of its former editors, Jacques Azéma, who passed away in January. The founders of the "Séminaire de Strasbourg", which included Jacques Azéma, probably had no idea of the possi