565 citations · 683 across the 5 of their papers we have counts for
6 papers
Strong disorder for a certain class of directed polymers in a random environment
Philippe Carmona, Francesco Guerra, Yueyun Hu +1
We study a model of directed polymers with an exponentially recurrent Markov chain and an indefinitely divisible random environment. We prove that the normalized partition function…
About the cavity fields in mean field spin glass models
Francesco Guerra
We give the explicit expression of the infinite volume limit for the random overlap structures appearing in the mean field spin glass model. These structures have the expected fact…
The high temperature region of the Viana-Bray diluted spin glass model
Francesco Guerra, Fabio Lucio Toninelli
In this paper, we study the high temperature or low connectivity phase of the Viana-Bray model. This is a diluted version of the well known Sherrington-Kirkpatrick mean field spin…
The infinite volume limit in generalized mean field disordered models
Francesco Guerra, Fabio L. Toninelli
We generalize the strategy, we recently introduced to prove the existence of the thermodynamic limit for the Sherrington-Kirkpatrick and p-spin models, to a wider class of mean fie…
Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
Francesco Guerra
By using a simple interpolation argument, in previous work we have proven the existence of the thermodynamic limit, for mean field disordered models, including the Sherrington-Kirk…
Iterative Maps with Hierarchical Clustering for the Observed Scales of Astrophysical and Cosmological Structures
S. Capozziello, S. De Martino, S. De Siena +2
We derive, in order of magnitude, the observed astrophysical and cosmological scales in the Universe, from neutron stars to superclusters of galaxies, up to, asymptotically, the ob…