On conditioning a self-similar growth-fragmentation by its intrinsic area
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Publication:2041840
DOI10.1214/20-AIHP1110zbMath1484.60045arXiv1908.07830OpenAlexW3162834555MaRDI QIDQ2041840
Igor Kortchemski, Nicolas Curien, Jean Bertoin
Publication date: 23 July 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.07830
Self-similar stochastic processes (60G18) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Cites Work
- Asymptotics of self-similar growth-fragmentation processes
- Markovian growth-fragmentation processes
- Growth-fragmentation processes in Brownian motion indexed by the Brownian tree
- General branching processes as Markov fields
- Sur la décomposition de la trajectoire d'un processus de Lévy spectralement positif en son infimum. (On the path decomposition at the infimum for a spectrally positive Lévy process)
- On generalized multiplicative cascades
- The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes
- Martingales in self-similar growth-fragmentations and their connections with random planar maps
- Random planar maps and growth-fragmentations
- Asymptotic properties and absolute continuity of laws stable by random weighted mean.
- The supremum of a negative drift random walk with dependent heavy-tailed steps.
- Absolute continuity of complex martingales and of solutions to complex smoothing equations
- Fluctuations of Lévy processes with applications. Introductory lectures
- Recurrent extensions of self-similar Markov processes and Cramér's condition
- Profile of a self-similar growth-fragmentation
- The fixed points of the multivariate smoothing transform
- An axiomatic characterization of the Brownian map
- Stochastic Models with Power-Law Tails
- The growth and composition of branching populations
- Continuity of limit random variables in the branching random walk
- On the convergence of supercritical general (C-M-J) branching processes
- On an asymptotic problem concerning the laplace transform
- On densities for solutions to stochastic fixed point equations