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Made by myself with MATLAB.

 
This diagram was created with MATLAB.
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant 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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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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