Maximal coupling of light into 2D polaritons

2021 ◽  
Author(s):  
Eduardo J. C. Dias ◽  
Javier García de Abajo
Keyword(s):  
Maximal Coupling

scholarly journals Contextuality in canonical systems of random variables

2017 ◽  
Vol 375 (2106) ◽  
pp. 20160389 ◽  
Author(s):  
Ehtibar N. Dzhafarov ◽  
Víctor H. Cervantes ◽  
Janne V. Kujala
Keyword(s):  
Joint Distribution ◽  
Random Variables ◽  
Canonical System ◽  
Canonical Representation ◽  
Single Pair ◽  
Canonical Systems ◽  
Joint Distributions ◽  
Content Sharing ◽  
Maximal Coupling ◽  
Quantum Revolution

Random variables representing measurements, broadly understood to include any responses to any inputs, form a system in which each of them is uniquely identified by its content (that which it measures) and its context (the conditions under which it is recorded). Two random variables are jointly distributed if and only if they share a context. In a canonical representation of a system, all random variables are binary, and every content-sharing pair of random variables has a unique maximal coupling (the joint distribution imposed on them so that they coincide with maximal possible probability). The system is contextual if these maximal couplings are incompatible with the joint distributions of the context-sharing random variables. We propose to represent any system of measurements in a canonical form and to consider the system contextual if and only if its canonical representation is contextual. As an illustration, we establish a criterion for contextuality of the canonical system consisting of all dichotomizations of a single pair of content-sharing categorical random variables. This article is part of the themed issue ‘Second quantum revolution: foundational questions’.

ON SIMULATION OF STOCHASTICALLY ORDERED LIFE-LENGTH VARIABLES

2000 ◽  
Vol 14 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Torgny Lindvall
Keyword(s):  
Poisson Process ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Maximal Coupling ◽  
Necessary And Sufficient

Let F and G be life-length distributions such that F [D over less-than or equals] G. We solve the following problem: How should (X,Y) be generated in order to maximize [hollow letter P](X = Y), under the conditions X [D over equals] F, Y [D over equals] G, and X ≤ Y? We also find a necessary and sufficient condition for the existence of such a maximal coupling with the property that X and Y are independent, conditioned that X < Y. It is pointed out that using familiar Poisson process thinning methods does not produce (X,Y) which maximizes [hollow letter P](X = Y).

scholarly journals Maximal Coupling Procedure and Stability of Continuous-Time Markov Chains

2014 ◽  
Vol 10 ◽  
pp. 30-37
Author(s):  
Mokaedi V. Lekgari
Keyword(s):  
Markov Chains ◽  
Markov Processes ◽  
Continuous Time ◽  
Stopping Times ◽  
Continuous Time Markov Chains ◽  
Maximal Coupling ◽  
Countable State ◽  
Coupling Procedure ◽  
The Stability

In this study we first investigate the stability of subsampled discrete Markov chains through the use of the maximal coupling procedure. This is an extension of the available results on Markov chains and is realized through the analysis of the subsampled chain ΦΤn, where {Τn, nєZ+}is an increasing sequence of random stopping times. Then the similar results are realized for the stability of countable-state Continuous-time Markov processes by employing the skeleton-chain method.

scholarly journals Incubation of NAD(P)H2: glutathione oxidoreductase (EC1.6.4.2) with flavin adenine dinucleotide for maximal stimulation in the measurement of riboflavin status

1982 ◽  
Vol 48 (3) ◽  
pp. 459-466 ◽  
Author(s):  
D. I. Thurnham ◽  
Prapimporn Rathakette
Keyword(s):  
Quality Control ◽  
Glutathione Reductase ◽  
Flavin Adenine Dinucleotide ◽  
Maximal Stimulation ◽  
Maximal Coupling ◽  
Analysis Of Results ◽  
Cusum Analysis ◽  
Activation Coefficient ◽  
Riboflavin Status ◽  
Initial Results

1. Some modifications to the erythrocyte glutathione reductase assay for riboflavin status are described.2. Cusum analysis of results collected on a quality-control (QC) haemolysate, analysedseparately at the beginning and end of each batch of samples over a period of 20 weeks, suggested that the activation coefficient (AC) was higher at the end of a batch than at the beginning.3. The higher AC was due to higher FAD-stimulated enzyme activities of the QC samples measured at the end of the day, by comparison with the beginning, and this suggested that the conditions of assay were not optimal.4. The conditions required to achieve maximal coupling of FAD to glutathione reductase(NAD(P)H2: glutathione oxidoreductase;EC1.6.4.2) were therefore examined and found to be 15 min at 35° by comparison with the 5–7 min incubation used by most workers.5. Alternatively, where samples are prepared in batches, the enzyme and FAD should be pre-incubated in the reaction mixture for 2 h at 4° or 1 h at 25° before the standard incubation of 5 min at 35°.6. Additionally, the use of cummulative sum (cusum) analysis on the QC results suggested that there was a slight deterioration of QC sample after 4-weeks storage. However, theQC results obtained, remained within 2 standard deviations of initial results over a 20-week period, suggesting that the deterioration was very slight.

scholarly journals Optimal Coadapted Coupling for a Random Walk on the Hyper-Complete Graph

2013 ◽  
Vol 50 (4) ◽  
pp. 1117-1130
Author(s):  
Stephen Connor
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Complete Graph ◽  
Continuous Time ◽  
Symmetric Random Walk ◽  
Coupling Inequality ◽  
Maximal Coupling

The problem of constructing an optimal coadapted coupling for a pair of symmetric random walks on Z2d was considered by Connor and Jacka (2008), and the existence of a coupling which is stochastically fastest in the class of all such coadapted couplings was demonstrated. In this paper we show how to generalise this construction to an optimal coadapted coupling for the continuous-time symmetric random walk on Knd, where Kn is the complete graph with n vertices. Moreover, we show that although this coupling is not maximal for any n (i.e. it does not achieve equality in the coupling inequality), it does tend to a maximal coupling as n → ∞.

Sign in / Sign up

Export Citation Format

Share Document