Limit theorems for a branching random walk in a random or varying environment

Central limit and other weak theorems (60F05) Large deviations (60F10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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Convergence in law of the minimum of a branching random walk
Hausdorff and packing spectra, large deviations, and free energy for branching random walks in \({\mathbb{R}^d}\)
On exact scaling log-infinitely divisible cascades
Branching random walks. École d'Été de Probabilités de Saint-Flour XLII -- 2012
Almost sure central limit theorem for branching random walks in random environment
Branching random walks in space-time random environment: Survival probability, global and local growth rates
Exact convergence rates in central limit theorems for a branching random walk with a random environment in time
On multidimensional branching random walks in random environment
Critical branching Brownian motion with absorption: particle configurations
Sur une extension de la notion de loi semi-stable. (On an extension of the notion of semi-stable law)
The central limit theorem for the supercritical branching random walk, and related results
Central limit theorem for branching random walks in random environment
Localization for branching random walks in random environment
Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
A necessary and sufficient condition for a branching process in a random environment to grow like the product of its means
Branching random walk in random environment phase transitions for local and global growth rates
Branching random walks. II
Sur certaines martingales de Benoit Mandelbrot
Limit theorems for branching processes in a random environment
Branching Brownian motion with absorption
Seneta-Heyde norming in the branching random walk
Asymptotic properties and absolute continuity of laws stable by random weighted mean.
Exact convergence rates for the distribution of particles in branching random walks
Minimal positions in a branching random walk
Stable-like fluctuations of Biggins' martingales
Regular variation of fixed points of the smoothing transform
Branching random walks with random environments in time
Minima in branching random walks
On large deviation probabilities for empirical distribution of supercritical branching random walks with unbounded displacements
Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment
1-stable fluctuations in branching Brownian motion at critical temperature. I: The derivative martingale
A variational approach to branching random walk in random environment
Second and third orders asymptotic expansions for the distribution of particles in a branching random walk with a random environment in time
The minimum of a branching random walk outside the boundary case
Convergence of martingale and moderate deviations for a branching random walk with a random environment in time
The Seneta-Heyde scaling for the branching random walk
Central limit theorems for a branching random walk with a random environment in time
On weighted branching processes in random environment.
The fixed points of the multivariate smoothing transform
Minimal position of branching random walks in random environment
Weak law of large numbers for some Markov chains along non homogeneous genealogies
Stochastic Models with Power-Law Tails
Renewal Theory for Perturbed Random Walks and Similar Processes
On multidimensional Mandelbrot cascades
A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk
A necessary and sufficient condition for the nontrivial limit of the derivative martingale in a branching random walk
Shape and local growth for multidimensional branching random walks in random environment
Branching random walk in varying environments
The first- and last-birth problems for a multitype age-dependent branching process
Martingale convergence in the branching random walk
Minimal displacement of branching random walk
Chernoff's theorem in the branching random walk
Sur Une Équation Fonctionnelle Et SES Applications: Une Extension Du Théorème De Kesten-Stigum Concernant Des Processus De Branchement
Fixed points of a generalized smoothing transformation and applications to the branching random walk
Fixed points of the smoothing transformation
Measure change in multitype branching
Limit theorems for the minimal position of a branching random walk in random environment
Slower deviations of the branching Brownian motion and of branching random walks
A Local Limit Theorem for Nonlattice Multi-Dimensional Distribution Functions
On a conjecture by Harris
On Branching Processes in Random Environments
Branching Processes with Random Environments, II: Limit Theorems
How big is the minimum of a branching random walk?
The wave speed of an FKPP equation with jumps via coordinated branching

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