Theories and Models of Communication 2013
DOI: 10.1515/9783110240450.123
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7 Economic bases of communication

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Cited by 8 publications
(12 citation statements)
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“…A significant simplification is that for gaussian fields, the joint probability distribution for m(1) and m(2) factors into a product of separate distributions of the form (123) for each component. This results is an equation of form (138) for any n, but with the function C(γ) given by (131) for general n instead of (126). Again, a(t) = λ/2t, with λ chosen to eliminate the power-law tail in the scaling function f (x).…”
Section: Mazenko's Methodsmentioning
confidence: 99%
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“…A significant simplification is that for gaussian fields, the joint probability distribution for m(1) and m(2) factors into a product of separate distributions of the form (123) for each component. This results is an equation of form (138) for any n, but with the function C(γ) given by (131) for general n instead of (126). Again, a(t) = λ/2t, with λ chosen to eliminate the power-law tail in the scaling function f (x).…”
Section: Mazenko's Methodsmentioning
confidence: 99%
“…To summarise, the virtues of Mazenko's approach are (i) only the assumption that the field m is gaussian is required, (ii) the scaling function has a non-trivial dependence on d (whereas, apart from the trivial dependence through the diffusion constant D, (122), (126) and (131) are independent of d), and (iii) the non-trivial behaviour of different-time correlation functions [20] emerges in a natural way [96]. In addition, the OJK result (126), and its generalisation (131), are reproduced for d → ∞, while the exact scaling function (108) of the 1−d Glauber model is recovered from (139) in the limit d → 1 [99]. In practice, however, for d ≥ 2 the shape of the scaling function f (x) differs very little from that of the OJK function given by (126) and (122), or its generalization (131) for vector fields [60].…”
Section: Mazenko's Methodsmentioning
confidence: 99%
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