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File:Random walk in2D closeup.png

Original file (842 × 989 pixels, file size: 29 KB, MIME type: image/png)

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English: File:Random walk in 2D closeup
Date
Source Own work
Author Oleg Alexandrov
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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

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842 pixel

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c7818d87be48fa2c2762dbe1fa07ca53f3bc6e0b

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File history

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Date/TimeThumbnailDimensionsUserComment
current03:39, 18 April 2007Thumbnail for version as of 03:39, 18 April 2007842 × 989 (29 KB)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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