File:Random walk in2D.png

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Made by myself with MATLAB.

This diagram was created with MATLAB.

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

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Thumbnail	Dimensions	User	Comment
current	23:07, 2 October 2016		661 × 989 (40 KB)	Cmdrjameson	Compressed with pngout. Reduced by 45kB (53% decrease).
	18:19, 17 April 2007		661 × 989 (86 KB)	Oleg Alexandrov	Made by myself with MATLAB. {{PD-self}}