45,174 research outputs found
Dissipative conformal measures on locally compact spaces
The paper introduces a general method to construct conformal measures for a
local homeomorphism on a locally compact non-compact Hausdorff space, subject
to mild irreducibility-like conditions. Among others the method is used to give
necessary and sufficient conditions for the existence of eigenmeasures for the
dual Ruelle operator associated to a locally compact non-compact irreducible
Markov shift equipped with a uniformly continuous potential function. As an
application to operator algebras the results are used to determine for which
there are gauge invariant -KMS weights on a simple graph
-algebra when the one-parameter automorphism group is given by a uniformly
continuous real-valued function on the path space of the graph.Comment: Theorem 4.6 has been correcte
Is Quantum Mechanics needed to explain consciousness ?
In this short comment to a recent contribution by E. Manousakis [1] it is
argued that the reported agreement between the measured time evolution of
conscious states during binocular rivalry and predictions derived from quantum
mechanical formalisms does not require any direct effect of QM. The recursive
consumption analysis process in the Ouroboros Model can yield the same
behavior.Comment: 3 page
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