Aggregation models on hypergraphs
| Autor: | Pierluigi Contucci, Marco Molari, Emanuele Mingione, Diego Alberici |
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| Přispěvatelé: | Alberici, Diego, Contucci, Pierluigi, Mingione, Emanuele, Molari, Marco |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Class (set theory)
Pure mathematics Complex system General Physics and Astronomy FOS: Physical sciences Type (model theory) Space (mathematics) 01 natural sciences 010305 fluids & plasmas Set (abstract data type) Physics and Astronomy (all) Robustness (computer science) 0103 physical sciences 010306 general physics Condensed Matter - Statistical Mechanics Mathematical Physics Physics Partition function (quantum field theory) Statistical Mechanics (cond-mat.stat-mech) Observable Mathematical Physics (math-ph) Inverse problem Hypergraph Physics - Data Analysis Statistics and Probability Polymer model Data Analysis Statistics and Probability (physics.data-an) 82B05 |
| Popis: | Following a newly introduced approach by Rasetti and Merelli we investigate the possibility to extract topological information about the space where interacting systems are modelled. From the statistical datum of their observable quantities, like the correlation functions, we show how to reconstruct the activities of their constitutive parts which embed the topological information. The procedure is implemented on a class of polymer models on hypergraphs with hard-core interactions. We show that the model fulfils a set of iterative relations for the partition function that generalise those introduced by Heilmann and Lieb for the monomer-dimer case. After translating those relations into structural identities for the correlation functions we use them to test the precision and the robustness of the inverse problem. Finally the possible presence of a further interaction of peer-to-peer type is considered and a criterion to discover it is identified. Improved version, 12 pages, 5 figures |
| Databáze: | OpenAIRE |
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