Search results for "Realizability"

showing 2 items of 2 documents

Lyapunov graphs for circle valued functions

2018

International audience; Conley index theory is used to obtain results for flows associated to circular Lyapunov functions defined on general compact smooth n-manifolds. This is done in terms of their underlying circular Lyapunov digraphs, which are generalizations of Morse digraphs, by extensively studying their combinatorics, invariants and realizability.

Lyapunov functionNovikov theoryPure mathematicsMathematics::Dynamical Systems010102 general mathematicsTEORIA DO ÍNDICEMorse code01 natural scienceslaw.inventionLyapunov graphs010101 applied mathematicssymbols.namesakeMorse functions[MATH.MATH-GN]Mathematics [math]/General Topology [math.GN]lawRealizabilitysymbolsGeometry and TopologyConley index theory0101 mathematicsMathematics::Symplectic GeometryGeneric circularMSC: primary 37B30 37B35 37D15 secondary 37E35MathematicsConley index
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Contextuality Analysis of the Double Slit Experiment (With a Glimpse Into Three Slits)

2018

The Contextuality-by-Default theory is illustrated on contextuality analysis of the idealized double-slit experiment. The experiment is described by a system of contextually labeled binary random variables each of which answers the question: has the particle hit the detector, having passed through a given slit (left or right) in a given state (open or closed)? This system of random variables is a cyclic system of rank 4, formally the same as the system describing the EPR/Bell paradigm with signaling. Unlike the latter, however, the system describing the double-slit experiment is always noncontextual, i.e., the context-dependence in it is entirely explainable in terms of direct influences of…

Rank (linear algebra)inconsistent connectednessGeneral Physics and AstronomyFOS: Physical scienceslcsh:Astrophysics01 natural sciencesArticledirect influencesProbability theoryRealizabilitylcsh:QB460-4660103 physical sciencesFOS: MathematicscontextualitykvanttimekaniikkaStatistical physicslcsh:Science010306 general physicskvanttiteoriadouble-slitMathematicsQuantum Physicstriple-slitta114010308 nuclear & particles physicsta111Probability (math.PR)Observablecontext-dependencelcsh:QC1-999Constraint (information theory)Double-slit experimentcontext-dependence; contextuality; direct influences; double-slit; inconsistent connectedness; signaling; triple-slitlcsh:QMarginal distributiontodennäköisyyssignalingQuantum Physics (quant-ph)81P13 81Q99 60A99Random variablelcsh:PhysicsMathematics - Probability
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