File:Drunkard’s walk.svg
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Size of this PNG preview of this SVG file: 598 × 97 pixels. Other resolutions: 320 × 52 pixels | 640 × 104 pixels | 1,024 × 166 pixels | 1,280 × 208 pixels | 2,560 × 415 pixels.
Original file (SVG file, nominally 598 × 97 pixels, file size: 16 KB)
Summary
| Description |
English: The absorbing Markov chain for the drunkard's walk (a type of random walk) on the real line starting at 0 with a range of two in both directions. |
| Date | |
| Source |
Created in LaTeX by the following code: \documentclass{article}
\thispagestyle{empty}
\usepackage{fullpage}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale=1.5, transform shape, >=stealth, node distance=2cm, very thick]
\tikzstyle{nodeStyle} = [draw,fill,shape=circle, ,circle,inner sep=0pt,minimum size=4pt]
\node[nodeStyle] (0) {};
\node[nodeStyle] (1) [right of=0] {};
\node[nodeStyle] (2) [right of=1] {};
\node[nodeStyle] (3) [right of=2] {};
\node[nodeStyle] (4) [right of=3] {};
\node[below] at (0.south) {$-2$\ \ \ };
\node[below] at (1.south) {$-1$\ \ \ };
\node[below] at (2.south) {$0$};
\node[below] at (3.south) {$1$};
\node[below] at (4.south) {$2$};
\path (0) edge [->, out=215, in=145, min distance=2cm] node[left] {1} (0)
(1) edge [->, bend left] node[above] {$\frac{1}{2}$} (2)
(1) edge [->, bend left] node[below] {$\frac{1}{2}$} (0)
(2) edge [->, bend left] node[below] {$\frac{1}{2}$} (1)
(2) edge [->, bend left] node[above] {$\frac{1}{2}$} (3)
(3) edge [->, bend left] node[below] {$\frac{1}{2}$} (2)
(3) edge [->, bend left] node[above] {$\frac{1}{2}$} (4)
(4) edge [->, out=35, in=-35, min distance=2cm] node[right] {1} (4)
(0) edge [-, thin] (1)
(1) edge [-, thin] (2)
(2) edge [-, thin] (3)
(3) edge [-, thin] (4);
\end{tikzpicture}
\end{document}
|
| Author | Self |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:31, 31 October 2011 | | 598 × 97 (16 KB) | wikimediacommons>Bender2k14 | Cropping done manually in the raw SVG based on Inkscape's crop. |
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