Convergence in law of the minimum of a branching random walk

From MaRDI portal
Publication:373579

DOI10.1214/12-AOP750zbMath1285.60086arXiv1101.1810OpenAlexW2139310454MaRDI QIDQ373579

Elie E. F. Aidekon

Publication date: 17 October 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1810



Related Items

A branching random walk in the presence of a hard wall, Large deviation estimates for branching random walks, Branching within branching: a model for host-parasite co-evolution, The extremal process of critical points of the pure \(p\)-spin spherical spin Glass model, Energy landscape for large average submatrix detection problems in Gaussian random matrices, The near-critical Gibbs measure of the branching random walk, Compensated fragmentation processes and limits of dilated fragmentations, Maximum and coupling of the sine-Gordon field, On the extreme values of the Riemann zeta function on random intervals of the critical line, Scaling limits of branching random walks and branching-stable processes, The largest fragment of a homogeneous fragmentation process, Stationary random metrics on hierarchical graphs via \((\min,+)\)-type recursive distributional equations, Extreme local extrema of two-dimensional discrete Gaussian free field, Branching random walk with trapping zones, Range and critical generations of a random walk on Galton-Watson trees, Large deviations for the branching Brownian motion in presence of selection or coalescence, Heavy range of the randomly biased walk on Galton-Watson trees in the slow movement regime, Large deviation principle for the maximal positions in critical branching random walks with small drifts, Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian free field, Efficient approximation of branching random walk Gibbs measures, Convergence in Law of the Maximum of the Two‐Dimensional Discrete Gaussian Free Field, Cover time for branching random walks on regular trees, Large deviations for the maximum of a branching random walk, Spatial growth processes with long range dispersion: microscopics, mesoscopics and discrepancy in spread rate, A phase transition for large values of bifurcating autoregressive models, A shape theorem for a one-dimensional growing particle system with a bounded number of occupants per site, Branching Brownian motion seen from its tip, The maximum of the four-dimensional membrane model, The extremal process of branching Brownian motion, Rate of convergence of the mean for sub-additive ergodic sequences, Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model, Branching random walks, stable point processes and regular variation, Branching random walk with infinite progeny mean: a tale of two tails, Extreme values for two-dimensional discrete Gaussian free field, The logarithmic Bramson correction for Fisher-KPP equations on the lattice ℤ, The height of record‐biased trees, The maximum of a branching random walk with stretched exponential tails, The spread speed of multiple catalytic branching random walks, The maximum of branching Brownian motion in \(\mathbb{R}^d\), A limit law for the most favorite point of simple random walk on a regular tree, Maximum of a log-correlated Gaussian field, A sharp estimate for cover times on binary trees, The fixed points of branching Brownian motion, Large deviations of extremes in branching random walk with regularly varying displacements, Asymptotic of the maximal displacement in a branching random walk, Maximum of the Ginzburg-Landau fields, Unnamed Item, Critical Gaussian multiplicative chaos: convergence of the derivative martingale, The Seneta-Heyde scaling for the branching random walk, The spread of a catalytic branching random walk, Gaussian multiplicative chaos and applications: a review, Extrema of the Two-Dimensional Discrete Gaussian Free Field, The Bramson delay in a Fisher-KPP equation with log-singular nonlinearity, A scaling limit for the cover time of the binary tree, Maximal displacement of a branching random walk in time-inhomogeneous environment, The almost sure limits of the minimal position and the additive martingale in a branching random walk, Minima of independent time-inhomogeneous random walks, Maximum of the characteristic polynomial of random unitary matrices, Explosion and linear transit times in infinite trees, On the maximum of the C\(\beta\)E field, Extremes of local times for simple random walks on symmetric trees, Convergence in law for the branching random walk seen from its tip, On the maximal displacement of subcritical branching random walks, Cyclic behavior of maxima in a hierarchical summation scheme, The glassy phase of complex branching Brownian motion, Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential, Genealogy of the extremal process of the branching random walk, A revisited proof of the Seneta-Heyde norming for branching random walks under optimal assumptions, On the trajectory of an individual chosen according to supercritical Gibbs measure in the branching random walk, Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment, Fluctuations of Biggins' martingales at complex parameters, Lower deviation and moderate deviation probabilities for maximum of a branching random walk, 1-stable fluctuations in branching Brownian motion at critical temperature. I: The derivative martingale, The extremal process of super-Brownian motion, On the maximal displacement of near-critical branching random walks, Critical Brownian multiplicative chaos, Renormalization of critical Gaussian multiplicative chaos and KPZ relation, Extremes of multitype branching random walks: heaviest tail wins, On the derivative martingale in a branching random walk, Limit law for the cover time of a random walk on a binary tree, Fluctuation theory for Markov random walks, Self-similar solutions to kinetic-type evolution equations: beyond the boundary case, From Spin Glasses to Branching Brownian Motion—and Back?, On stability of traveling wave solutions for integro-differential equations related to branching Markov processes, On Seneta–Heyde scaling for a stable branching random walk, Extremum of a time-inhomogeneous branching random walk, Branching-stable point measures and processes, Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder, The height of Mallows trees, Branching random walks conditioned on particle numbers, Local fluctuations of critical Mandelbrot cascades, On the branching convolution equation \(\mathcal{E}=\mathcal{Z}\circledast \mathcal{E} \), The structure of extreme level sets in branching Brownian motion, Correction terms for the height of weighted recursive trees, Maximum of branching Brownian motion in a periodic environment, A simple backward construction of branching Brownian motion with large displacement and applications, A simple method to find all solutions to the functional equation of the smoothing transform, Right-most position of a last progeny modified time inhomogeneous branching random walk, Unnamed Item, A necessary and sufficient condition for the convergence of the derivative martingale in a branching Lévy process



Cites Work