C. Chiccoli,1 O. D. Lavrentovich,2 P. Pasini,1 and C. Zannoni3 1Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Via Irnerio 46, 40126 Bologna, Italy 2Liquid Crystal Institute and Chemical Physics Interdisciplinary Program, Kent State University, Kent, Ohio 44242 3Dipartimento di Chimica Fisica ed Inorganica, Università di Bologna, Viale Risorgimento 4, 40136 Bologna, Italy (Received ...

A model of a fluid of skyrmions coupled to the dilaton and the ω meson mean fields is developed. The central and spin-orbit potentials of a skyrmion generated by the fields predict correct energy levels in selected closed shell nuclei. The effect of the meson fields on the properties of skyrmions in nuclei is investigated. PACS 12.39Dc, 21.10Dr, 21.65.+f, 24.10.Pa dedicated to the memory of Pro...

This paper is concerned with systemic risk in the interbank market. We model this market as a directed graph in which the banks represent the nodes and the liabilities between the banks represent the edges. Our work builds on the modelling paradigm of Eisenberg and Noe (2001), extending it by introducing default costs in the system. We provide a rigorous analysis of those situations in which ba...

A fully symmetric duality model is presented which subsumes the classical treatments given by Duff in (1956), Eisenberg (1961) and Cottle (1963) for linear, homogeneous and quadratic convex programming. Moreover, a wide variety of other special objective functional structures, including homogeneity of any nonzero degree, is handled with equal ease. The model is valid in spaces of arbitrary dime...

In this paper we consider the dynamic process of race track betting. We show that there is a close connection between the dynamic race track betting process and the pari-mutuel method for constructing consensus of subjective probabilities considered in Eisenberg and Gale. This enables us to show that there exists a unique equilibrium point for the betting process. We further show that the dynam...