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Branching processes in the analysis of the heights of trees

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9780470316436openalex-snapshot
Linear Statistical Inference and its Applications
inferredcites →https://doi.org/10.1007/3-540-09510-1_28openalex-snapshot
On the average stack size of regularly distributed binary trees
inferredcites →https://doi.org/10.1007/bf00263763openalex-snapshot
Worst-case analysis for region and partial region searches in multidimensional binary search trees and balanced quad trees
inferredcites →https://doi.org/10.1007/bf00264279openalex-snapshot
On the performance evaluation of extendible hashing and trie searching
inferredcites →https://doi.org/10.1007/bf00288933openalex-snapshot
Quad trees a data structure for retrieval on composite keys
inferredcites →https://doi.org/10.1007/bfb0012773openalex-snapshot
A branching process arising in dynamic hashing, trie searching and polynomial factorization
inferredcites →https://doi.org/10.1016/0020-0190(75)90034-4openalex-snapshot
Analysis of range searches in quad trees
inferredcites →https://doi.org/10.1016/0020-0190(81)90033-8openalex-snapshot
On the average height of trees in digital search and dynamic hashing
inferredcites →https://doi.org/10.1016/0022-0000(82)90004-6openalex-snapshot
The average height of binary trees and other simple trees
inferredcites →https://doi.org/10.1016/0304-3975(78)90009-9openalex-snapshot
The expected linearity of a simple equivalence algorithm
inferredcites →https://doi.org/10.1016/b978-1-4832-3187-7.50007-6openalex-snapshot
THE AVERAGE HEIGHT OF PLANTED PLANE TREES
inferredcites →https://doi.org/10.1017/s0001867800015603openalex-snapshot
Paths in a random digital tree: limiting distributions
inferredcites →https://doi.org/10.1017/s0001867800042348openalex-snapshot
The first- and last-birth problems for a multitype age-dependent branching process
inferredcites →https://doi.org/10.1017/s0021900200025900openalex-snapshot
Chernoff's theorem in the branching random walk
inferredcites →https://doi.org/10.1017/s1446788700004432openalex-snapshot
On the height of trees
inferredcites →https://doi.org/10.1080/00401706.1965.10490235openalex-snapshot
The Theory of Branching Processes
inferredcites →https://doi.org/10.1109/tse.1982.236022openalex-snapshot
Analysis of Extendible Hashing
inferredcites →https://doi.org/10.1137/1114007openalex-snapshot
On the Distribution of the Number of Vertices in Strata of a Random Tree
inferredcites →https://doi.org/10.1142/9789812791245openalex-snapshot
Data Structures and Algorithms
inferredcites →https://doi.org/10.1145/356924.356930openalex-snapshot
The Quadtree and Related Hierarchical Data Structures
inferredcites →https://doi.org/10.1145/361002.361007openalex-snapshot
Multidimensional binary search trees used for associative searching
inferredcites →https://doi.org/10.1145/5925.5930openalex-snapshot
A note on the height of binary search trees
inferredcites →https://doi.org/10.1214/aoms/1177698049openalex-snapshot
Bounds for the Probability of a Union, with Applications
inferredcites →https://doi.org/10.1214/aop/1176993000openalex-snapshot
Asymptotical Growth of a Class of Random Trees
inferredcites →https://doi.org/10.1287/moor.9.1.43openalex-snapshot
On Random Binary Trees
inferredcites →https://doi.org/10.2307/2005383openalex-snapshot
The Art of Computer Programming, Vol. 3: Sorting and Searching
inferredcites →https://doi.org/10.2307/2283757openalex-snapshot
The Art of Computer Programming. Volume 1: Fundamental Algorithms.
inferredcites →https://doi.org/10.2307/2529568openalex-snapshot
Linear Statistical Inference and Its Applications.
inferredcites →https://doi.org/10.2307/2987205openalex-snapshot
Linear Statistical Inference and its Applications.
inferredcites →https://doi.org/10.6028/jres.065b.020openalex-snapshot
Probability inequalities of the Tchebycheff type

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Bibliography
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Transversals in Trees
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Depth Properties of scaled attachment random recursive trees
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Oscillations in the height of the Yule tree and application to the binary search tree
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High degrees in random recursive trees
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The height of depth‐weighted random recursive trees
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Community modulated recursive trees and population dependent branching processes
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On the height of randomm‐ary search trees
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Limit laws for local counters in random binary search trees
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The strong convergence of maximal degrees in uniform random recursive trees and dags
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How Fast Does a General Branching Random Walk Spread?
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Zip-Zip Trees: Making Zip Trees More Balanced, Biased, Compact, or Persistent
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Giant Components for Two Expanding Graph Processes
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inferred← citeshttps://doi.org/10.1007/978-3-0348-8211-8_23openalex-snapshot
Growth Rate and Ergodicity Conditions for a Class of Random Trees
inferred← citeshttps://doi.org/10.1007/978-3-0348-8405-1_1openalex-snapshot
Rawa Trees
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Arbres, algorithmes et données
inferred← citeshttps://doi.org/10.1007/978-3-319-93725-0_6openalex-snapshot
Arbres binaires de recherche
inferred← citeshttps://doi.org/10.1007/978-3-319-93725-0_7openalex-snapshot
Arbres digitaux
inferred← citeshttps://doi.org/10.1007/978-3-319-93725-0_8openalex-snapshot
Arbres m-aires et quadrants
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Randomized Insertion and Deletion in Point Quad Trees
inferred← citeshttps://doi.org/10.1007/978-3-662-12788-9_7openalex-snapshot
Branching Processes and Their Applications in the Analysis of Tree Structures and Tree Algorithms
inferred← citeshttps://doi.org/10.1007/bf01210596openalex-snapshot
On the expected height of fringe-balanced trees
inferred← citeshttps://doi.org/10.1007/bf01891833openalex-snapshot
Analytic variations on quadtrees
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The contraction method for recursive algorithms
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An analytic approach to the height of binary search trees
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Applications of the theory of records in the study of random trees
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The Height of Increasing Trees
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Weighted height of random trees
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Birth and death processes on certain random trees: classification and stationary laws
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New results for the random nearest neighbor tree
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Profiles of Random Trees: Limit Theorems for Random Recursive Trees and Binary Search Trees
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Large Deviations for the Weighted Height of an Extended Class of Trees
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Moments of general time dependent branching processes with applications
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Limiting theorems for the nodes in binary search trees
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Long and short paths in uniform random recursive dags
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Analytic methods in asymptotic enumeration
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Probabilistic analysis of bucket recursive trees
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Parallel quicksort
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Data Structures
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The shape of random pattern-avoiding permutations
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High degrees in recursive trees
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A limit field for orthogonal range searches in two-dimensional random point search trees
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On Robson's convergence and boundedness conjectures concerning the height of binary search trees
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A note on the growth of random trees
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The Variance of the height of binary search trees
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The height of a binary search tree: the limiting distribution perspective
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Limit distribution for the maximum degree of a random recursive tree
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Martingales et grandes déviations pour les arbres binaires de recherche
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Introduction to Random Graphs
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Weak convergence of the number of vertices at intermediate levels of random recursive trees
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Two Applications of Urn Processes The Fringe Analysis of Search Trees and The Simulation of Quasi-Stationary Distributions of Markov Chains
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EXTREMAL WEIGHTED PATH LENGTHS IN RANDOM BINARY SEARCH TREES
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The Longest Minimum-Weight Path in a Complete Graph
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Diameter of the Stochastic Mean-Field Model of Distance
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A non-increasing tree growth process for recursive trees and applications
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Archaeology of random recursive dags and Cooper-Frieze random networks
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All-Pairs Shortest Paths in O(n²) Time with High Probability
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An Analysis of Random d -Dimensional Quad Trees
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Random Hyperplane Search Trees
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Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees
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On the Generation of Random Binary Search Trees
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On the Variance of the Height of Random Binary Search Trees
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Universal Limit Laws for Depths in Random Trees
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Squarish k - d Trees
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Bimodality and Phase Transitions in the Profile Variance of Random Binary Search Trees
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Search problems in groups and branching processes
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Phase changes in random point quadtrees
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All-pairs shortest paths in O ( n 2 ) time with high probability
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The height of a random binary search tree
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The height of random $k$-trees and related branching processes
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Retraction Note: Strong limiting behavior in binary search trees
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RETRACTED ARTICLE: Strong limiting behavior in binary search trees
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A functional limit theorem for the profile of b-ary trees
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Poisson–Dirichlet branching random walks
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General Edgeworth expansions with applications to profiles of random trees
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Asymptotics of heights in random trees constructed by aggregation
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A functional limit theorem for the profile of random recursive trees
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Correction terms for the height of weighted recursive trees
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Geometry of weighted recursive and affine preferential attachment trees
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Increasing paths in random temporal graphs
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Uniform attachment with freezing: Scaling limits
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Asymptotic fluctuations in supercritical Crump–Mode–Jagers processes
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Uniform attachment with freezing
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The Profile of Binary Search Trees
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A Strong Law for the Height of Random Binary Pyramids
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A Note on the Probability of Cutting a Galton-Watson Tree
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Special Properties of Cobalt(II), Nickel(II) and Copper(II) Complexes of Methyl and Ethyl Quinaldates
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Random hyperplane search trees in high dimensions
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Siblings in d-dimensional nearest neighbour trees
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The height of scaled attachment random recursive trees
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The Diameter of the Minimum Spanning Tree of a Complete Graph
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The size of random fragmentation intervals
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All-Pairs Shortest Paths in $O(n^2)$ time with high probability
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Oscillations in the height of the Yule tree and application to the binary search tree
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Analytic combinatorics: a calculus of discrete structures
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Probabilistic analysis of distributed processes with focus on consensus
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Random tree-like structures : gluings of metric spaces and stable graphs
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Inference of the past of random structures and other random problems
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Branching processes and Erdős-Rényi graph
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Guarding problems and geometric split trees
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Shedding new light on random trees
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