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Aspectos geométricos dos modelos de TodaSchmidt, Fernando David Marmolejo [UNESP] January 2005 (has links) (PDF)
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Two loop super-WZNW model with reductions to supersymmetric and fermionic integrable modelsSchmidtt, Fernando David Marmolejo [UNESP] January 2009 (has links) (PDF)
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Predictability in Social Science, The statistical mechanics approach.Seyedi, Seyedalireza <1980> 09 June 2015 (has links)
The subject of this work concerns the study of the immigration phenomenon, with emphasis on the aspects related to the integration of an immigrant population in a hosting one. Aim of this work is to show the forecasting ability of a recent finding where the behavior of integration quantifiers was analyzed and investigated with a mathematical model of statistical physics origins (a generalization of the monomer dimer model). After providing a detailed literature review of the model, we show that not only such a model is able to identify the social mechanism that drives a particular integration process, but it also provides correct forecast. The research reported here proves that the proposed model of integration and its forecast framework are simple and effective tools to reduce uncertainties about how integration phenomena emerge and how they are likely to develop in response to increased migration levels in the future.
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Statistical Mechanics of Hard-Core Particles with Attractive InteractionsAlberici, Diego <1988> 29 April 2016 (has links)
Mean-field monomer-dimer models, on sparse random graphs or on the complete graph, can be considered as an approximation of finite-dimensional physical models involving particles of different sizes. On the other hand they have a particular interest for the emerging applications to Computer Science and Social Sciences, since the real-world networks are often modelled by particular families of random graphs. We give a rigorous proof of Zdeborovà-Mézard's picture of the monomer-dimer model with pure hard-core interaction on sparse random graphs. As shown by Heilmann and Lieb, the hard-core interaction is not sufficient to cause a phase transition in monomer-dimer models. We study monomer-dimer models on the complete graph and in particular we add an attractive interaction to the hard-core one. We provide the solution of this model, showing that a phase transition occurs. The critical exponents are the standard mean-field ones and the central limit theorem breakdowns.
Finite-dimensional monomer-dimer models (and more general hard-rods models) are still interesting also for applications to Physics, in the theory of liquid crystals. Heilmann and Lieb proposed some monomer-dimer models on Z^2 with attractive interactions that favour the presence of clusters of neighbouring parallel dimers. They showed the presence of orientational order at low temperatures, while they conjectured the absence of translational order. We prove the absence of translational order in a different framework, when the dimer potential favours one of the two orientations.
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Rigorous results in Spin Glasses and Monomer-Dimer systemsMingione, Emanuele <1980> 04 June 2015 (has links)
In this work I reported recent results in the field of Statistical
Mechanics of Equilibrium, and in particular in Spin Glass models and Monomer Dimer models .
We start giving the mathematical background and the general formalism
for Spin (Disordered) Models with some of their applications to physical and mathematical problems.
Next we move on general aspects of
the theory of spin glasses, in particular to the Sherrington-Kirkpatrick model which is of fundamental interest for the
work. In Chapter 3, we introduce the Multi-species Sherrington-Kirkpatrick
model (MSK), we prove the existence of the thermodynamical limit and the
Guerra's Bound for the quenched pressure together with a detailed analysis of
the annealed and the replica symmetric regime. The result is a multidimensional
generalization of the Parisi's theory. Finally we brie
y illustrate the strategy of
the Panchenko's proof of the lower bound.
In Chapter 4 we discuss the Aizenmann-Contucci and the Ghirlanda-Guerra identities for a wide class of Spin Glass models. As an example of
application, we discuss the role of these identities in the proof of the lower bound.
In Chapter 5 we introduce the basic mathematical formalism of Monomer
Dimer models. We introduce a Gaussian representation of the partition function
that will be fundamental in the rest of the work.
In Chapter 6, we introduce an interacting Monomer-Dimer model.
Its exact solution is derived and a detailed study of its analytical properties and
related physical quantities is performed.
In Chapter 7, we introduce a quenched randomness in the
Monomer Dimer model
and show that, under suitable conditions the
pressure is a self averaging quantity. The main result is that, if we consider
randomness only in the monomer activity, the model is exactly solvable.
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Complexity measures and similarity metrics: properties and applications to biological signalsFarinelli, Chiara <1979> 05 June 2008 (has links)
No description available.
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Modelli Matematici per Transizioni di Fase in Materiali SpecialiGrandi, Diego <1975> 08 July 2009 (has links)
In questa Tesi vengono trattati alcuni temi relativi alla modellizzazione matematica delle Transizioni di Fase, il cui filo conduttore è la descrizione basata su un parametro d'ordine, originato dalla Teoria di Landau. Dopo aver presentato in maniera generale un modo di approccio alla dinamica delle transizioni mediante campo di fase, con particolare attenzione al problema della consistenza termodinamica nelle situazioni non isoterme, si considerano tre applicazioni di tale metodo a transizioni di fase specifiche: la transizione ferromagnetica, la transizione superconduttrice e la transizione martensitica nelle leghe a memoria di forma (SMA). Il contributo maggiore viene fornito nello studio di quest'ultima transizione di fase per la quale si è elaborato un modello a campo di fase termodinamicamente consistente, atto a descriverne le proprietà termomeccaniche essenziali.
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An equilibrium approach to modelling social interactionGallo, Ignacio Alejandro <1981> 08 July 2009 (has links)
The aim of this work is to put forward a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. After showing the formal equivalence linking econometric multinomial logit models to equilibrium statical mechanics, a multi- population generalization of the Curie-Weiss model for ferromagnets is considered as a starting point in developing a model capable of describing sudden shifts in aggregate human behaviour. Existence of the thermodynamic limit for the model is shown by an asymptotic sub-additivity method and factorization of correlation
functions is proved almost everywhere. The exact solution for the model is provided in the thermodynamical limit by nding converging upper and lower bounds for the system's pressure, and the solution is used to prove an analytic result regarding the number of possible equilibrium states of a two-population system. The work stresses the importance of linking regimes predicted by the model to real phenomena, and to this end it proposes two possible
procedures to estimate the model's parameters starting from micro-level data. These are applied to three case studies based on census type data: though these studies are found to be ultimately inconclusive on an empirical level, considerations are drawn that encourage further refinements of the chosen modelling approach, to be considered in future work.
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Entropy and Semantics: Textual Information Extraction through Statistical MethodsBasile, Chiara <1982> 26 October 2010 (has links)
No description available.
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A mean field model for the collective behaviour of interacting multi-species particles: mathematical results and application to the inverse problemFedele, Micaela <1983> 29 April 2011 (has links)
No description available.
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