Exact solution and precise asymptotics of a Fisher–KPP type front

J Berestycki, É Brunet, B Derrida - Journal of Physics A …, 2017 - iopscience.iop.org
The present work concerns a version of the Fisher–KPP equation where the nonlinear term
is replaced by a saturation mechanism, yielding a free boundary problem with mixed …

Analytical asymptotics for hard diffraction

AD Le, AH Mueller, S Munier - Physical Review D, 2021 - APS
We show that the cross section for diffractive dissociation of a small onium off a large
nucleus at total rapidity Y and requiring a minimum rapidity gap Y gap can be identified, in a …

1-stable fluctuations in branching Brownian motion at critical temperature I: The derivative martingale

P Maillard, M Pain - 2019 - projecteuclid.org
Abstract Let (Z_t)_t≧0 denote the derivative martingale of branching Brownian motion, that
is, the derivative with respect to the inverse temperature of the normalized partition function …

A new approach to computing the asymptotics of the position of Fisher-KPP fronts (a)

J Berestycki, É Brunet, B Derrida - Europhysics Letters, 2018 - iopscience.iop.org
This paper presents a novel way of computing front positions in Fisher-KPP equations. Our
method is based on an exact relation between the Laplace transform of the initial condition …

An exactly solvable travelling wave equation in the Fisher–KPP class

É Brunet, B Derrida - Journal of Statistical Physics, 2015 - Springer
For a simple one dimensional lattice version of a travelling wave equation, we obtain an
exact relation between the initial condition and the position of the front at any later time. This …

Slower deviations of the branching Brownian motion and of branching random walks

B Derrida, Z Shi - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
We have shown recently how to calculate the large deviation function of the position $ X_
{\max}(t) $ of the rightmost particle of a branching Brownian motion at time t. This large …

On the genealogy of branching random walks and of directed polymers

B Derrida, P Mottishaw - Europhysics Letters, 2016 - iopscience.iop.org
It is well known that the mean-field theory of directed polymers in a random medium exhibits
replica symmetry breaking with a distribution of overlaps which consists of two delta …

Statistical physics in QCD evolution towards high energies

S Munier - Science China Physics, Mechanics & Astronomy, 2015 - Springer
The concepts and methods used for the study of disordered systems have proven useful in
the analysis of the evolution equations of quantum chromodynamics in the high-energy …

Some aspects of the Fisher-KPP equation and the branching Brownian motion

É Brunet - 2016 - theses.hal.science
The Fisher-Kolmogorov, Petrovski, Piscounov equation (FKPP) is a deterministic partial
differential equation. It describes the evolution of an invasion front from a stable phase into …

Large deviations for the rightmost position in a branching Brownian motion

B Derrida, Z Shi - Modern Problems of Stochastic Analysis and Statistics …, 2017 - Springer
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