135,417 research outputs found
Bulk and boundary scattering in the q-state potts mode
No full textThis thesis is concerned with the properties of 1 + 1 dimensional massive field theories in both infinite and semi-infinite geometries. Chapters 1, 2 and 3 develop the necessary theoretical framework and review existing work by Chim and Zamolodchikov [1] on integrable perturbations of the (bulk) q-state Potts model, the particular model under consideration in this thesis. Chapter 4 consists of a detailed analysis of the bootstrap for this model, during the course of which unexpected behaviour arises. The treatment of 1] has consequently been revised, but further investigation will be necessary before complete understanding of this behaviour can be reached. In the final chapter, attention turns to the imposition of boundary conditions on two dimensional systems. After looking at this from a statistical mechanical point of view, a brief review of boundary conformal held theory and its integrable perturbations is given. This leads once more to a consideration of the q-state Potts model. After summarising [2], where fixed and free boundary conditions are considered, a third and previously untreated boundary condition is discussed
Parsimonious Segmentation of Time Series' by Potts Models
No full textTypical problems in the analysis of data sets like time-series or images crucially rely on the extraction of primitive features based on segmentation. Variational approaches are a popular and convenient framework in which such problems can be studied. We focus on Potts models as simple nontrivial instances. The discussion proceeds along two data sets from brain mapping and functional genomics
Social network markets: A new definition of the creative industries
No full textWe propose a new definition of the creative industries in terms of social network markets. The extant definition of the creative industries is based on an industrial classification that proceeds in terms of the creative nature of inputs and the intellectual property nature of outputs. We propose, instead, a new market-based definition in terms of the extent to which both demand and supply operate in complex social networks. We review and critique the standard creative industries definitions and explain why we believe a market-based social network definition offers analytic advance. We discuss some empirical, analytic and policy implications of this new definition
Supplementary Data from: Proteomic analysis of circulating immune cells identifies cellular phenotypes associated with COVID-19 severity, Potts et al.
No full textFull associated publication: 'Proteomic analysis of circulating immune cells identifies cellular phenotypes associated with COVID-19 severity', Potts et al (2023). Provided supplementary data includes:Table S2. Details of donors used to generate whole-blood RNA-seq data in Bergamaschi et al and re-analysed here for comparison with proteomic data, related to Figures 3 and 4.Table S3. Details of donors analysed by flow cytometry panels in Bergamaschi et al and re-analysed here to determine sample neutrophil contamination, related to Figure 3.Table S5. Functional enrichment analysis of proteomic data, related to Figure 2.Enrichment of functional pathways in clusters of cellular proteins upregulated during COVID. DAVID enrichment terms and corresponding Benjamini-Hochberg-corrected p-values are shown for each cluster in Fig. 2B.Table S6. Interactive spreadsheet of all proteomic and transcriptomic data in the manuscript, related to Figures 2, 3, 4.(A)Interactive searchable spreadsheet containing all data and statistics from whole cellular (WCL), plasma membrane (PM) and RNAseq analyses(B)Proteomic data from all WCL analyses(C)Proteomic data from WCL analyses for proteins quantified across all three WCL experiments(D)Results of statistical tests comparing relative abundance of each protein quantified in WCL analyses.(E)Proteomic data from second PM analysis(F)Proteomic data from all PM analyses(G)Results of statistical tests comparing relative abundance of each protein quantified in second PM analysis.(H)Transcriptomic data from all donors generated in Bergamaschi et al at day 0 timepoint. Data expressed as Log2(RPKM).(I)Transcriptomic data from donors also analysed in proteomic analyses, generated in Bergamaschi et al at day 0 timepoint. Data expressed as Log2(RPKM)
Computing the Cramer-Rao bound of Markov random field parameters: Application to the Ising and the Potts models
No full textThis letter considers the problem of computing the Cramer–Rao bound for the parameters of a Markov random field. Computation of the exact bound is not feasible for most fields of interest because their likelihoods are intractable and have intractable derivatives. We show here how it is possible to formulate the computation of the bound as a statistical inference problem that can be solve approximately, but with arbitrarily high accuracy, by using a Monte Carlo method. The proposed methodology is successfully applied on the Ising and the Potts models
Bounds on the complex zeros of (Di)Chromatic polynomials and Potts-model partition functions
No full textWe show that there exist universal constants C(r) such that, for all loopless graphs G of maximum degree less than or equal to r, the zeros (real or complex) of the chromatic polynomial P-G(q) lie in the disc \q\ 7.963907r. This result is a corollary of a more general result on the zeros of the Potts-model partition function Z(G)(q. {v(e)}) in the complex antiferromagnetic regime \1 + v(e)\ less than or equal to 1. The proof is based on a transformation of the Whitney-Tutte-Fortuin-Kasteleyn representation of Z(G)(q,:{v(e)}) to a polymer gas. followed by verification of the Dobrushin-Kotecky-Preiss condition for nonvanishing of a polymer-model partition function. We also show that, for all loopless graphs G of second-largest degree less than or equal to r, the zeros of P-G(q) lie in the disc \q\ < C(r)+ 1. Along the way, I give a simple proof of a generalized (multivariate) Brown-Colbourn conjecture on the zeros of the reliability polynomial for the special case of series-parallel graphs
Consumer co-creation and situated creativity
No full textThis paper examines the industrial dynamics of new digital media from the perspective of consumer co-creation. We find that consumer–producer interactions are an increasingly important source of value-creation. We conclude that cultural and economic analysis might be usefully united about these themes,and that situated creativity should be construed as analysis of an ongoing co-evolutionary process between economic and cultural dynamics
Potts, C D, 39872
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/411367Surname: POTTS. Given Name(s) or Initials: C D. Military Service Number or Last Known Location: 39872. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 19070.227078
Item: [2016.0049.43631] "Potts, C D, 39872
Personal Papers (MS 80-0002)
No full textHandwritten letter from Mrs. R. C. Potts to Mr. and Mrs. Kempner thanking them for the invitation to the annual Kempner family barbecue and promising to attend
Chromatic roots are dense in the whole complex plane
No full textI show that the zeros of the chromatic polynomials P-G(q) for the generalized theta graphs Theta((s.p)) are taken together, dense in the whole complex plane with the possible exception of the disc \q - l\ < l. The same holds for their dichromatic polynomials (alias Tutte polynomials, alias Potts-model partition functions) Z(G)(q,upsilon) outside the disc \q + upsilon\ < \upsilon\. An immediate corollary is that the chromatic roots of not-necessarily-planar graphs are dense in the whole complex plane. The main technical tool in the proof of these results is the Beraha-Kahane-Weiss theorem oil the limit sets of zeros for certain sequences of analytic functions, for which I give a new and simpler proof
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