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math.PR2011
Nonconventional averages along arithmetic progressions and lattice spin systems
G. Carinci, J. -R. Chazottes, C. Giardina +1
We study the so-called nonconventional averages in the context of lattice spin systems, or equivalently random colourings of the integers. For i.i.d. colourings, we prove a large d…
math.PR2011
Random Hysteresis Loops
Gioia Carinci
Dynamical hysteresis is a phenomenon which arises in ferromagnetic systems below the critical temperature as a response to adiabatic variations of the external magnetic field. We s…