Image:Random walk in2D closeup.png

Made by myself with MATLAB.

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | ‪中文(简体)‬ | ‪中文(繁體)‬ | zh-yue-hant | +/-

[edit] 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.

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
  

• Random walk
• User:Oleg Alexandrov/Pictures