title: Characteristics of the Mersenne Twister - 19937
body: <p>I have a quite simple question: 
  When we take the Mersenne  Twister -19937 generator and we fix the seed, then everytime we call the generator it produces a sequence of numbers that have some characteristics (independence, uniform distribution). What is of importance here is the Independance (or low correlation between 2 consecutive calls). </p>
  
  <p>Now, what happens if I have two instaces of Mersenne Twister -19937  with different (but fixed) seeds and I  call each generator once. How is the independance, correlation structure of the two sets of Random numbers I get in this case? </p>
  
  <p>Many Thanks </p>