Ergodic semigroups of positivity preserving self-adjoint operators |
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Authors: | Barry Simon |
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Affiliation: | Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France |
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Abstract: | We prove that an ergodic semigroup of positivity preserving self-adjoint operators is positivity improving. We also present a new proof (using Markov techniques) of the ergodicity of semigroups generated by spatially cutoff P(?)2 Hamiltonians. |
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