Displaying similar documents to “Concentration inequalities for semi-bounded martingales”

A multi-D model for Raman amplification

Mathieu Colin, Thierry Colin (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, (2004) 297–330; Colin and Colin, (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect...

Exponential deficiency of convolutions of densities

Iosif Pinelis (2012)

ESAIM: Probability and Statistics

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If a probability density () ( ∈ ℝ) is bounded and := ∫e ()d < ∞ for some linear functional and all  ∈ (01), then, for each  ∈ (01) and all large enough , the -fold convolution of the -tilted density p ˜ t := e ()/ is bounded. This is a corollary of a general, “non-i.i.d.” result, which is also shown to enjoy a certain optimality property. Such results and their corollaries stated in terms of the absolute integrability of the corresponding characteristic...

Coproducts of Ideal Monads

Neil Ghani, Tarmo Uustalu (2010)

RAIRO - Theoretical Informatics and Applications

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The question of how to combine monads arises naturally in many areas with much recent interest focusing on the coproduct of two monads. In general, the coproduct of arbitrary monads does not always exist. Although a rather general construction was given by Kelly  [ (1980) 1–83], its generality is reflected in its complexity which limits the applicability of this construction. Following our own research [C. Lüth and N. Ghani, (2002) 18–32], and...

Supercritical super-brownian motion with a general branching mechanism and travelling waves

A. E. Kyprianou, R.-L. Liu, A. Murillo-Salas, Y.-X. Ren (2012)

Annales de l'I.H.P. Probabilités et statistiques

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We offer a probabilistic treatment of the classical problem of existence, uniqueness and asymptotics of monotone solutions to the travelling wave equation associated to the parabolic semi-group equation of a super-Brownian motion with a general branching mechanism. Whilst we are strongly guided by the reasoning in Kyprianou ( (2004) 53–72) for branching Brownian motion, the current paper offers a number of new insights. Our analysis incorporates the role of Seneta–Heyde...