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On the support of the simple branching random walk
Affiliation:1. School of Mathematics and Statistics, Guangdong University of Finance & Economics, Guangzhou 510320, PR China;2. Department of Mathematics, Jinan University, Guangzhou 510630, PR China;1. Department of Epidemiology and Biostatistics, School of Public Health, Indiana University Bloomington, 1025 E. 7th street, PH C104, Bloomington, IN, 47405, USA;2. Department of Epidemiology and Biostatistics, University of Georgia, Athens, GA 30602, USA;3. Department of Statistical Science, Southern Methodist University, 3225 Daniel Avenue, PO Box 750332, Dallas, TX 75275-0332, USA;1. School of Mathematics and Statistics, Nanjing Audit University, Nanjing, 210029, China;2. School of Economics and Management, Southeast University, Nanjing, 210096, China;3. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, Vilnius LT-03225, Lithuania;4. Institute of Mathematics and Informatics, Vilnius University, Akademijos 4, Vilnius LT-08663, Lithuania;1. Department of Mathematics, Vanderbilt University, United States;2. Department of Statistics, University of Florida, United States
Abstract:Connectivity of the support of the simple branching random walk is established in certain asymmetric cases, extending a previous result of Grill.
Keywords:Branching random walk  Multiplicative cascade  Central limit theorem
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