Abstract We prove sharp universal upper bounds on the number of linearly independent steady and asymptotic states of discrete- and continuous-time Markovian evolutions of open quantum systems. We ...show that the bounds depend only on the dimension of the system and not on the details of the dynamics. A comparison with similar bounds deriving from a recent spectral conjecture for Markovian evolutions is also provided.
Why Only Us Berwick, Robert C; Chomsky, Noam
2015, 2016-01-15
eBook
Berwick and Chomsky draw on recent developments in linguistic theory to offer an evolutionary account of language and humans' remarkable, species-specific ability to acquire it.
A cooperative species Bowles, Samuel; Bowles, Samuel; Gintis, Herbert
2011., 20110531, 2011, 2011-05-31
eBook
Why do humans, uniquely among animals, cooperate in large numbers to advance projects for the common good? Contrary to the conventional wisdom in biology and economics, this generous and civic-minded ...behavior is widespread and cannot be explained simply by far-sighted self-interest or a desire to help close genealogical kin.
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