10 citations · 39 across the 7 of their papers we have counts for
7 papers · 1 filter
Random matrix ensembles and integrable differential identities
Costanza Benassi, Marta Dell'Atti, Antonio Moro
Integrable differential identities, together with ensemble-specific initial conditions, provide an effective approach for the characterisation of relevant observables and state fun…
Symmetric Matrix Ensemble and Integrable Hydrodynamic Chains
Costanza Benassi, Marta Dell'Atti, Antonio Moro
The partition function of the Symmetric Matrix Ensemble is identified with the function of a particular solution of the Pfaff Lattice. We show that in the case of even power in…
Thermodynamic Limit and Dispersive Regularisation in Matrix Models
Costanza Benassi, Antonio Moro
We show that Hermitian matrix models support the occurrence of a new type of phase transition characterised by dispersive regularisation of the order parameter near the critical po…
Loop correlations in random wire models
Costanza Benassi, Daniel Ueltschi
We introduce a family of loop soup models on the hypercubic lattice. The models involve links on the edges, and random pairings of the link endpoints on the sites. We conjecture th…
Decay of correlations in 2D quantum systems with continuous symmetry
Costanza Benassi, Juerg Froehlich, Daniel Ueltschi
We study a large class of models of two-dimensional quantum lattice systems with continuous symmetries, and we prove a general McBryan-Spencer-Koma-Tasaki theorem concerning algebr…
Correlation inequalities for classical and quantum XY models
Costanza Benassi, Benjamin Lees, Daniel Ueltschi
We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily sma…
Correlation inequalities for the quantum XY model
Costanza Benassi, Benjamin Lees, Daniel Ueltschi
We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths…