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Elie Aïdékon
Elie Aïdékon
Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
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Zhan Shi
Zhan Shi
Laboratoire de Probabilités UMR 7599, Université Paris VI, 4 place Jussieu, F-75252 Paris Cedex 05, France
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Summary
Consider the boundary case in a one-dimensional super-critical branching random walk. It is known that upon the survival of
the system, the minimal position after n steps behaves in probability like \documentclass{aastex}
\usepackage{amsbsy}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{bm}
\usepackage{mathrsfs}
\usepackage{pifont}
\usepackage{stmaryrd}
\usepackage{textcomp}
\usepackage{upgreek}
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\usepackage{amsmath,amsxtra}
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\begin{document}
$$\frac{3}
{2}$$
\end{document} log n when n → ∞. We give a simple and self-contained proof of this result, based exclusively on elementary properties of sums of i.i.d.
real-valued random variables.
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| Periodica Mathematica Hungarica | |
|---|---|
| Language | English |
| Size | B5 |
| Year of Foundation |
1971 |
| Volumes per Year |
2 |
| Issues per Year |
4 |
| Founder | Bolyai János Matematikai Társulat - János Bolyai Mathematical Society |
| Founder's Address |
H-1055 Budapest, Hungary Falk Miksa u. 12.I/4. |
| Publisher | Akadémiai Kiadó Springer Nature Switzerland AG |
| Publisher's Address |
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11. |
| Responsible Publisher |
Chief Executive Officer, Akadémiai Kiadó |
| ISSN | 0031-5303 (Print) |
| ISSN | 1588-2829 (Online) |
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