Highest-Quality Random Number Generators

<!--HTML--><p>When Martin Lüscher introduced RANLUX in 1994, it was the first pseudorandom number generator based on the theory of Mixing in classical dynamical systems. &nbsp;Now 25 years later, it is still very successful but it is no longer alone, since two more recent algorithms, MIXMAX and RANLUX++, also based on the same theory of Mixing, are now available. A study of the behaviour of these algorithms sheds new light on the conditions under which these random number generators can be considered to have no detectable defects.</p>