Displaying similar documents to “Supercritical super-brownian motion with a general branching mechanism and travelling waves”

Strong 𝐗 -robustness of interval max-min matrices

Helena Myšková, Ján Plavka (2021)

Kybernetika

Similarity:

In max-min algebra the standard pair of operations plus and times is replaced by the pair of operations maximum and minimum, respectively. A max-min matrix A is called strongly robust if the orbit x , A ⊗ x , A 2 ⊗ x , ⋯ reaches the greatest eigenvector with any starting vector. We study a special type of the strong robustness called the strong -robustness, the case that a starting vector is limited by a lower bound vector and an upper bound vector. The equivalent condition...

Superdiffusivity for brownian motion in a poissonian potential with long range correlation I: Lower bound on the volume exponent

Hubert Lacoin (2012)

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

Similarity:

We study trajectories of d -dimensional Brownian Motion in Poissonian potential up to the hitting time of a distant hyper-plane. Our Poissonian potential V is constructed from a field of traps whose centers location is given by a Poisson Point Process and whose radii are IID distributed with a common distribution that has unbounded support; it has the particularity of having long-range correlation. We focus on the case where the law of the trap radii ν has power-law decay and prove that...

Wiener integral for the coordinate process under the -finite measure unifying Brownian penalisations

Kouji Yano (2011)

ESAIM: Probability and Statistics

Similarity:

Wiener integral for the coordinate process is defined under the -finite measure unifying Brownian penalisations, which has been introduced by [Najnudel , (2007) 459–466] and [Najnudel , . Mathematical Society of Japan, Tokyo (2009)]. Its decomposition before and after last exit time from 0 is studied. This study prepares for the author's recent study [K. Yano, (2010) 3492–3516] of Cameron-Martin formula for the -finite measure. ...

Exponential deficiency of convolutions of densities

Iosif Pinelis (2012)

ESAIM: Probability and Statistics

Similarity:

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...

Large deviations for directed percolation on a thin rectangle

Jean-Paul Ibrahim (2012)

ESAIM: Probability and Statistics

Similarity:

Following the recent investigations of Baik and Suidan in [(2005) 325–337] and Bodineau and Martin in [ (2005) 105–112 (electronic)], we prove large deviation properties for a last-passage percolation model in ℤ whose paths are close to the axis. The results are mainly obtained when the random weights are Gaussian or have a finite moment-generating function and rely, as in [J. Baik and T.M. Suidan, (2005) 325–337] and [T. Bodineau and J. Martin, ...

A multi-D model for Raman amplification

Mathieu Colin, Thierry Colin (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

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...