File:Random walk in2D closeup.png

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Description
English: File:Random walk in 2D closeup
Date
Source Own work
Author Oleg Alexandrov
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File:random walk 2500.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
File:Random walk in2D closeup.png → File:random walk 2500.svg
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 This diagram was created with MATLAB.

Licensing

Public domain This work has been released into the public domain by its author, Oleg Alexandrov. This applies worldwide.
In some countries this may not be legally possible; if so:
Oleg Alexandrov grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Source code (MATLAB)

Note. One may need to modify the step size, the number of steps, and rerun the code to get a picture similar to the above. 

 

function main()

   lw = 1;   % line width
   dx=0.05;  % step size
   L=1;      % window size
   N = 5000; % number of steps
   
   ii=sqrt(-1);
   
   AP =(1+ii)*ones(1, N);

   % do the random walk with N steps. Save the results in AP
   P=0;
   for i=1:N
      AP(i)=P;
      dP = (1+ii)*dx*(hrand+ii*hrand)/2;
      P = P+dP;
   end

   figure(2); clf; hold on; axis equal; axis off; 
   plot(real(AP), imag(AP),  'color', 'r', 'linewidth', lw);

   saveas(gcf, 'random_walk_in2D_closeup.eps', 'psc2')

  % chose randomly a number from the set {-1, 1}
function z=hrand

   z=0;
   while z==0
      z=rand(1)-0.5;
      z = sign(z);
   end

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29,691 byte

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989 pixel

width

842 pixel

media type

image/png

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c7818d87be48fa2c2762dbe1fa07ca53f3bc6e0b

determination method or standard: SHA-1

File history

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Date/TimeThumbnailDimensionsUserComment
current05:39, 18 April 2007Thumbnail for version as of 05:39, 18 April 2007842 × 989 (29 KB)wikimediacommons>Oleg AlexandrovMade by myself with MATLAB. {{PD-self}} ==Source code== '''Note.''' One may need to modify the step size, the number of steps, and rerun the code to get a picture similar to the above. <pre> <nowiki> function main() lw = 1; % line width dx=0.0

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