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Symmetry analysis of reversible Markov chains
Reversible markov chain orbital diagram characteristic vector;the mixture of markov chain an arbitrary number
2015/8/11
We show how to use subgroups of the symmetry group of a reversible Markov chain to give useful bounds on eigenvalues and their multiplicity. We supplement classical representation theoretic tools invo...
A Novel Symmetry Constraint Of The Super cKdV System
explicit symmetry constraints implicit symmetry constraints
2010/12/15
A new (1+1)-dimensional integrable system, i. e. the super coupled Korteweg-de Vries (cKdV) system, has been constructed by a super extension of the well-known (1+1)-dimensional cKdV system. For this ...
On the symmetry of primes
symmetry primes
2010/12/15
We prove a kind of “almost all symmetry” result for the primes, i.e. we give non-trivial bounds for the “symmetry integral”, say I(N, h), of the von Mangoldt function (n) (:= log p for prime-powers ...