707 citations · 7.4k across the 133 of their papers we have counts for
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Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
Patrick Charbonneau, Jorge Kurchan, Giorgio Parisi +2
In the first part of this paper, we derive the general replica equations that describe infinite-dimensional hard spheres at any level of replica symmetry breaking (RSB) and in part…
Tipping points in macroeconomic Agent-Based models
Stanislao Gualdi, Marco Tarzia, Francesco Zamponi +1
The aim of this work is to explore the possible types of phenomena that simple macroeconomic Agent-Based models (ABM) can reproduce. We propose a methodology, inspired by statistic…
A thermodynamic description of colloidal glasses
Mauro Sellitto, Francesco Zamponi
The phase behavior of hard-sphere particles interacting with a short-ranged potential is studied in the limit of infinite space dimensionality via the Franz-Parisi approach and the…
Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
Jorge Kurchan, Giorgio Parisi, Pierfrancesco Urbani +1
We consider the theory of the glass phase and jamming of hard spheres in the large space dimension limit. Building upon the exact expression for the free-energy functional obtained…
The effect of quantum fluctuations on the coloring of random graphs
Victor Bapst, Guilhem Semerjian, Francesco Zamponi
We present a study of the coloring problem (antiferromagnetic Potts model) of random regular graphs, submitted to quantum fluctuations induced by a transverse field, using the quan…