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Random Walks on Finite Groups     Finite Groups  Random       2015/8/26
Markov chains on finite sets are used in a great variety of situations to approximate, understand and sample from their limit distribution. A familiar example is provided by card shuffling methods. ...
ON RANDOM WALKS ON WREATH PRODUCTS     PRODUCTS  RANDOM WALKS       2015/8/26
Wreath products are a type of semidirect product. They play an important role in group theory. This paper studies the basic behavior of simple random walks on such groups and shows that these walks ...
“Superparamagnetic limit”: As magnetic devices become smaller and smaller, the time for thermal activated switching might become too short (shorter than desired data retention time).
Abstract: We bound from above the expected total Betti number of a high degree random real hypersurface in a smooth real projective manifold. This upper bound is deduced from the equirepartition of cr...

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