output
20052011
most citedPhase transition in the detection of modules in sparse networks

403 citations

Showing 2010Show all

5 papers · 1 filter

cond-mat.dis-nn201025 cited

No spin glass phase in ferromagnetic random-field random-temperature scalar Ginzburg-Landau model

Florent Krzakala, Federico Ricci-Tersenghi, David Sherrington +1

Krzakala, Ricci-Tersenghi and Zdeborova have shown recently that the random field Ising model with non-negative interactions and arbitrary external magnetic field on an arbitrary l…

cond-mat.stat-mech201025 cited

Glassy aspects of melting dynamics (On melting dynamics and the glass transition, Part I)

Florent Krzakala, Lenka Zdeborová

The following properties are in the present literature associated with the behavior of super-cooled glass-forming liquids: faster than exponential growth of the relaxation time, dy…

cond-mat.stat-mech201031 cited

Glassy dynamics as a melting process (On melting dynamics and the glass transition, Part II)

Florent Krzakala, Lenka Zdeborová

There are deep analogies between the melting dynamics in systems with a first order phase transition and the dynamics from equilibrium in super-cooled liquids. For a class of Ising…

cond-mat.dis-nn201078 cited

Generalization of the cavity method for adiabatic evolution of Gibbs states

Lenka Zdeborová, Florent Krzakala

Mean field glassy systems have a complicated energy landscape and an enormous number of different Gibbs states. In this paper, we introduce a generalization of the cavity method in…

quant-ph2010121 cited

Energy gaps in quantum first-order mean-field-like transitions: The problems that quantum annealing cannot solve

T. Jorg, F. Krzakala, J. Kurchan +2

We study first-order quantum phase transitions in models where the mean-field traitment is exact, and the exponentially fast closure of the energy gap with the system size at the t…