Consultancy work: Silvio Franz’s field of expertise is the Statistical Physics of Disordered Systems and Interdisciplinary Applications. Equilibrium, Dynamics, Numerical Simulations, Rigorous Techniques, Replica Method, Cavity.
Outreach: Complex Systems and Spin Glasses, Interdisciplinary Applications of Spin, Glass Theory
Key publications:
S. Franz, L. Peliti, M. Sellitto «An evolutionary version of the Random Energy Model » J. Phys. A: Math. Gen. 23 (1993) L1195L1199.
S. Franz, L. Peliti «Error threshold in simple landscapes » J. Phys. A: Math. Gen. 30 (1997) 44814487
S. Franz, M. Leone, F. RicciTersenghi, R. Zecchina « Exact solutions for diluted spin glasses and optimization problems » Phys. Rev. Lett. 87 (2001) 127209 14
S. Franz, M. Leone « Replica bounds for optimization problems and diluted spin systems » J. Stat. Phys. 111 (2003) 535564
S. Franz, M. Leone F. L. Toninelli « Replica bounds for diluted nonPoissonian spin systems » J. Phys. A 36 1096710985 (2003)
S. Franz, F. L. Toninelli « Kac limit for finiterange spin glasses » Phys. Rev. Lett. 92 030602 13 (2004)
H. Bauke, S. Franz, S. Mertens « Number partitioning as random energy model » J. Stat. Mech.: Theor. Exp. (2004) P04003 115
F. Tria, M. Lassig, L. Peliti S. Franz « A minimal stochastic model for influenza evolution » J. Stat. Mech. (2005) P07008 111
M. Castellana, A. Decelle, S. Franz, M. Mezard, G. Parisi The Hierarchical Random Energy Model Phys. Rev. Lett. 104, 127206 (2010)
G. Bianconi, L. Ferretti, S. Franz Non-neutral theory of biodiversity EPL, 87 (2009) 28001
G. Bianconi, D. Fichera, S. Franz, L. Peliti Modeling microevolution in a changing environment: The evolving quasispecies and the Diluted Champion Process J. Stat. Mech. (2011) P08022
S. Franz, G. Parisi Quasi-equilibrium in glassy dynamics: an algebraic view
arXiv:1206.4067
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