Random planar lattices and integrated superBrownian excursion

In this paper, a surprising connection is described between a specific brand of random lattices, namely planar quadrangulations, and Aldous’ Integrated SuperBrownian Excursion (ISE). As a consequence, the radius rn of a random quadrangulation with n faces is shown to converge, up to scaling, to the...

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Veröffentlicht in:	Probability theory and related fields 2004-02, Vol.128 (2), p.161-212
Hauptverfasser:	CHASSAING, Philippe, SCHAEFFER, Gilles
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Combinatorics Combinatorics. Ordered structures Conjugation Convergence Exact sciences and technology Geometry Graph theory Lattice theory and statistics (ising, potts, etc.) Lattices (mathematics) Markov processes Mathematical Physics Mathematics Physics Probability Probability and statistics Probability theory Probability theory and stochastic processes Quantum Algebra Quantum gravity Random variables Sciences and techniques of general use Statistical physics, thermodynamics, and nonlinear dynamical systems Trees (mathematics)
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