Splitting intervals. II: Limit laws for lengths

DOI10.1007/BF00320085zbMath0607.60010MaRDI QIDQ1085512

Michael D. Brennan, Richard T. Durrett

Publication date: 1987

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

empirical distribution functionrenewal equationbranching random walklimit lawrandom subdivisionsplitting process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items

Counting intervals in the packing process ⋮ Weak convergence results for the Kakutani interval splitting procedure. ⋮ Sharp concentration for the largest and smallest fragment in a \(k\)-regular self-similar fragmentation ⋮ Choices and intervals ⋮ A diffusion limit for a class of randomly-growing binary trees ⋮ What is Known About Robbins' Problem? ⋮ Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings ⋮ Tail asymptotics for extinction times of self-similar fragmentations ⋮ Statistical analysis of self-similar conservative fragmentation chains ⋮ Random recursive triangulations of the disk via fragmentation theory ⋮ On Random Fragmentations Arising From Binary Splitting ⋮ The size of random fragmentation trees ⋮ Additional aspects of the non-conservative Kolmogorov-Filippov fragmentation model ⋮ Different aspects of a random fragmentation model ⋮ Statistical aspects of random fragmentations ⋮ Self-Similar Branching Markov Chains ⋮ Equilibrium for fragmentation with immigration ⋮ Deposition, diffusion, and nucleation on an interval ⋮ Ranked Fragmentations

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