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Are random walks random?
Authors:J. Nogu  s, J. L. Costa-Kr  mer,K. V. Rao
Affiliation:J. Nogués, J. L. Costa-Krämer,K. V. Rao,
Abstract:Random walks have been created using the pseudo-random generators in different computer language compilers (BASIC, PASCAL, FORTRAN, C++) using a Pentium processor. All the obtained paths have apparently a random behavior for short walks (214 steps). From long random walks (233 steps) different periods have been found, the shortest being 218 for PASCAL and the longest 231 for FORTRAN and C++, while BASIC had a 224 steps period. The BASIC, PASCAL and FORTRAN long walks had even (2 or 4) symmetries. The C++ walk systematically roams away from the origin. Using deviations from the mean-distance rule for random walks, d2N, a more severe criterion is found, e.g. random walks generated by a PASCAL compiler fulfills this criterion to N < 10 000.
Keywords:Statistical mechanics   Random number generation   BASIC (programming language)   Pascal (programming language)   FORTRAN (programming language)   C (programming language)   Program compilers   Random walks   Pseudo random generators
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