3 papers
math.PR2025
Large Deviations Theory of Increasing Returns
Simone Franchini, Riccardo Balzan
An influential theory of increasing returns has been proposed by the economist W. B. Arthur in the '80s to explain the lock-in phenomenon between two competing commercial products.…
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2025
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…