19 citations · 57 across the 9 of their papers we have counts for
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Energy of the Interacting Self-Avoiding Walk at the point
Simone Franchini, Riccardo Balzan
We perform a numerical study of a new microcanonical polymer model on the three dimensional cubic lattice, consisting of ideal chains whose range and number of nearest-neighbor con…
A simplified Parisi Ansatz
Simone Franchini
Based on simple combinatorial arguments, we formulate a generalized cavity method where the Random Overlap Structure (ROSt) probability space of Aizenmann, Sims and Starr is obtain…
Random Polymers and Generalized Urn Processes
Simone Franchini, Riccardo Balzan
We describe a microcanonical approach for polymer models that combines atmospheric methods with urn theory. We show that Large Deviation Properties of urn models can provide quite…
Replica Symmetry Breaking without Replicas
Simone Franchini
We introduce a mathematical framework based on simple combinatorial arguments (Kernel Representation) that allows to deal successfully with spin glass problems, among others. Let $…
Ideal chains with fixed self-intersection rate
Simone Franchini
We consider ideal chains in a hypercubic lattice \mathbb{Z}^{d}, d\geq3, with a fixed ratio m of self-intersection per monomer. Despite the simplicity of the geometrical constraint…