Weighted dependency graphs
From MaRDI portal
Publication:1990226
DOI10.1214/18-EJP222zbMath1414.60014arXiv1605.03836OpenAlexW2962821232MaRDI QIDQ1990226
Publication date: 25 October 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.03836
cumulantsMarkov chainsrandom graphssimple exclusion processspanning treesrandom permutationsdependency graphscombinatorial central limit theorems
Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)
Related Items
The method of cumulants for the normal approximation ⋮ A multi-threading algorithm to detect and remove cycles in vertex- and arc-weighted digraph ⋮ A central limit theorem for descents of a Mallows permutation and its inverse ⋮ Central limit theorems for patterns in multiset permutations and set partitions ⋮ Normal approximation for U- and V-statistics of a stationary absolutely regular sequence ⋮ Asymptotic normality of consecutive patterns in permutations encoded by generating trees with one‐dimensional labels ⋮ Asymptotic normality of pattern counts in conjugacy classes ⋮ On the asymptotic normality conditions for the number of repetitions in a stationary random sequence ⋮ Mod-ϕ Convergence, II: Estimates on the Speed of Convergence ⋮ Asymptotic normality in random graphs with given vertex degrees ⋮ Bivariate fluctuations for the number of arithmetic progressions in random sets ⋮ Central limit theorem for statistics of subcritical configuration models ⋮ The volume of simplices in high-dimensional Poisson-Delaunay tessellations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Moderate deviations via cumulants
- Asymptotic behavior of some statistics in Ewens random permutations
- Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
- Central limit theorems for some set partition statistics
- On normal approximations of distributions in terms of dependency graphs
- Terminal chords in connected chord diagrams
- Entropy of open lattice systems
- On the Markov chain central limit theorem
- A functional combinatorial central limit theorem
- When are small subgraphs of a random graph normally distributed?
- Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs
- Two moments suffice for Poisson approximations: The Chen-Stein method
- Asymptotic lower bounds for Ramsey functions
- On pattern frequency occurrences in a Markovian sequence
- On central limit theorems in geometrical probability
- Error bound in a central limit theorem of double-indexed permutation statistics
- Logarithmic combinatorial structures: A probabilistic approach
- Motif statistics.
- Gaussian limit for determinantal random point fields.
- Normal approximation under local dependence.
- Cumulants in noncommutative probability theory. I: Noncommutative exchangeability systems
- Central limit theorems for Gaussian polytopes
- Fluctuations in the weakly asymmetric exclusion process with open boundary conditions
- Gaussian fluctuations of characters of symmetric groups and of Young diagrams
- Relations between cumulants in noncommutative probability
- A central limit theorem for m-dependent random variables with unbounded m
- Crossings and alignments of permutations
- The central limit theorem for dependent random variables
- Mod-ϕ Convergence
- Formulae for Askey-Wilson moments and enumeration of staircase tableaux
- Asymptotic Normality of Statistics on Permutation Tableaux
- On Three Different Notions of Monotone Subsequences
- On a Method of Calculation of Semi-Invariants
- Crossings and nestings of matchings and partitions
- A functional limit theorem for random graphs with applications to subgraph count statistics
- Pattern Matching Statistics on Correlated Sources
- Hidden word statistics
- On the relation between the multidimensional moment problem and the one-dimensional moment problem.
- An estimate of the remainder in a combinatorial central limit theorem
- On a Theorem of Janson
- Orthogonal decompositions and functional limit theorems for random graph statistics
- Random Geometric Graphs
- Exact solution of a 1D asymmetric exclusion model using a matrix formulation
- Large deviations for sums of partly dependent random variables
- The Central Limit Theorem for a Sequence of Random Variables with a Slowly Growing Number of Dependences
- Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
- A Combinatorial Central Limit Theorem
