Fixed points of a generalized smoothing transformation and applications to the branching random walk

Quansheng Liu

Type: Article

Publication Date: 1998-03-01

Citations: 39

DOI: https://doi.org/10.1017/s0001867800008090

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Advances in Applied Probability - View

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Citing (19)

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+ PDF Chat	Large deviations for multiplicative chaos	1992	Pierre Collet F. Koukiou
+ PDF Chat	A Martingale Approach to Supercritical (CMJ) Branching Processes	1985	Harry Cohn
+ PDF Chat	Random recursive constructions: asymptotic geometric and topological properties	1986	R. Daniel Mauldin S. C. Williams
+	Martingale convergence in the branching random walk	1977	J. D. Biggins
+ PDF Chat	Generalized potlatch and smoothing processes	1981	Richard A. Holley Thomas M. Liggett
+ PDF Chat	A Limit Theorem for Multidimensional Galton-Watson Processes	1966	Harry Kesten Bernt P. Stigum
+ PDF Chat	The exact hausdorff dimension of a branching set	1996	Quanshing Liu
+	A fixed point theorem for distributions	1992	Uwe Rösler
+ PDF Chat	Norming constants for the finite mean supercritical Bellman-Harris process	1982	Harry Cohn
+	Asymptotic properties of supercritical branching processes I: The Galton-Watson process	1974	Ν. H. Bingham R. A. Doney
+ PDF Chat	Seneta-Heyde norming in the branching random walk	1997	J. D. Biggins Andreas E. Kyprianou
+	A note on a functional equation arising in Galton-Watson branching processes	1971	Krishna B. Athreya
+	Regularly varying functions in the theory of simple branching processes	1974	E. Seneta
+	Functional equations and the Galton-Watson process	1969	E. Seneta
+	Random fractals	1986	K. J. Falconer
+	Asymptotic properties of super-critical branching processes II: Crump-Mode and Jirina processes	1975	Ν. H. Bingham R. A. Doney
+ PDF Chat	Branching Processes	1948	T. E. Harris