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Dynamical Systems and PDEs
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Entropy of an operator D. V. Treschev Steklov Mathematical Institute of Russian Academy of Sciences, Moscow |
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Abstract: We extend the concept of the measure entropy from the group of automorphisms of a measure space to the group of unitary operators on a Hilbert space. Our main motivations concern formalization of the idea of quantum chaos. The key ingredient of our construction is a (probably) new concept from functional analysis, the mu-norm of a (bounded) operator on a Hilbert space. Website: https://zoom.us/j/93187636892?pwd=Y2pYZ3Y1UW93cTBIb2hiNXF0ZHI2UT09 |