Silvio Franz

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

Personal Webpage

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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