10 results found
Armata F, Latmiral L, Plato ADK, et al., 2017, Quantum limits to gravity estimation with optomechanics, PHYSICAL REVIEW A, Vol: 96, ISSN: 2469-9926
Plato ADK, Hughes CN, Kim MS, 2016, Gravitational effects in quantum mechanics, CONTEMPORARY PHYSICS, Vol: 57, Pages: 477-495, ISSN: 0010-7514
Venkataraman V, Plato ADK, Tufarelli T, et al., 2015, Affecting non-Markovian behaviour by changing bath structures (vol 47, 015501, 2014), JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, Vol: 48, ISSN: 0953-4075
Venkataraman V, Plato ADK, Tufarelli T, et al., 2014, Affecting non-Markovian behaviour by changing bath structures, JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, Vol: 47, ISSN: 0953-4075
Evans TS, Plato ADK, You T, 2010, Are Copying and Innovation Enough?, 15th European Conference on Mathematics for Industry, Publisher: SPRINGER-VERLAG BERLIN, Pages: 825-+, ISSN: 1612-3956
Evans TS, Plato ADK, 2008, Network rewiring models, NETWORKS AND HETEROGENEOUS MEDIA, Vol: 3, Pages: 221-238, ISSN: 1556-1801
Plato ADK, Dahlsten OC, Plenio MB, 2008, Random circuits by measurements on weighted graph states, PHYSICAL REVIEW A, Vol: 78, ISSN: 1050-2947
Evans TS, Plato ADK, 2007, Exact solution for the time evolution of network rewiring models, PHYSICAL REVIEW E, Vol: 75, ISSN: 2470-0045
Evans TS, Plato ADK, 2006, Exact Solutions for Models of Cultural Transmission and Network Rewiring
We look at the evolution through rewiring of the degree distribution of anetwork so the number edges is constant. This is exactly equivalent to theevolution of probability distributions in models of cultural transmission withdrift and innovation, or models of homogeneity in genes in the presence ofmutation. We show that the mean field equations in the literature areincomplete and provide the full equations. We then give an exact solution forboth their long time solution and for their approach to equilibrium. Numericalresults show these are excellent approximations and confirm the characteristicsimple inverse power law distributions with a large scale cutoff under certainconditions. The alternative is that we reach a completely homogeneous solution.We consider how such processes may arise in practice, using a recent MinorityGame study as an example.
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