Cross-Multiplicative Coalescent Processes and Applications

zbMath1468.60119arXiv1702.07764MaRDI QIDQ5144715

Anatoly Yambartsev, Peter Tak-Hun Otto, Yevgeniy V. Kovchegov

Publication date: 19 January 2021

Full work available at URL: https://arxiv.org/abs/1702.07764

zbMATH Keywords

minimal spanning treegelationErdős-Rényi random graph modelSmoluchowski coagulation equationscoalescent processesMarcus-Lushnikov processesdensity dependent population processes

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items

Multidimensional Lambert-Euler inversion and vector-multiplicative coalescent processes, Random self-similar trees: a mathematical theory of Horton laws

Cites Work

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• Gelation for Marcus-Lushnikov process
• Convergence of the Marcus-Lushnikov process
• On random minimum length spanning trees
• Marcus-Lushnikov processes, Smoluchowski's and Flory's models
• Remarks on Wittgenstein's Remarks on the foundations of mathematics
• On the value of a random minimum spanning tree problem
• Existence of gelling solutions for coagulation-fragmentation equations
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Random minimum length spanning trees in regular graphs
• Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
• Construction of Markovian coalescents
• Gelation in coagulation and fragmentation models
• Spouge's conjecture on complete and instantaneous gelation
• The Abel-type polynomial identities
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• Solutions and critical times for the monodisperse coagulation equation when a_ij=A + B(i + j) + Cij
• The Enumeration of Point Labelled Chromatic Graphs and Trees
• Recent progress in coalescent theory
• ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONS
• Emergence of the giant component in special Marcus-Lushnikov processes
• The minimal spanning tree in a complete graph and a functional limit theorem for trees in a random graph
• On the Length of a Random Minimum Spanning Tree
• Random Fragmentation and Coagulation Processes