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The wave equation in random domains : localization of the normal modes in the small frequency region

Fabio Martinelli — 1985

Annales de l'I.H.P. Physique théorique

On the approach to equilibrium for a polymer with adsorption and repulsion.

Caputo, Pietro; Martinelli, Fabio; Toninelli, Fabio Lucio — 2008

Electronic Journal of Probability [electronic only]

Quasi-polynomial mixing of the 2D stochastic Ising model with “plus” boundary up to criticality

Eyal Lubetzky; Fabio Martinelli; Allan Sly; Fabio Lucio Toninelli — 2013

Journal of the European Mathematical Society

We considerably improve upon the recent result of [37] on the mixing time of Glauber dynamics for the 2D Ising model in a box of side $L$ at low temperature and with random boundary conditions whose distribution $P$ stochastically dominates the extremal plus phase. An important special case is when $P$ is concentrated on the homogeneous all-plus configuration, where the mixing time $T_{M I X}$ is conjectured to be polynomial in $L$ . In [37] it was shown that for a large enough inverse-temperature $β$ and any $ϵ > 0$ there...

Scaling limit and cube-root fluctuations in SOS surfaces above a wall

Pietro Caputo; Eyal Lubetzky; Fabio Martinelli; Allan Sly; Fabio Lucio Toninelli — 2016

Journal of the European Mathematical Society

Consider the classical $(2 + 1)$ -dimensional Solid-On-Solid model above a hard wall on an $L \times L$ box of $ℤ^{2}$ . The model describes a crystal surface by assigning a non-negative integer height $η_{x}$ to each site $x$ in the box and 0 heights to its boundary. The probability of a surface configuration $η$ is proportional to $\exp (- β ℋ (η))$ , where $β$ is the inverse-temperature and $ℋ (η)$ sums the absolute values of height differences between neighboring sites. We give a full description of the shape of the SOS surface for low enough temperatures....

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Currently displaying 1 – 4 of 4

The wave equation in random domains : localization of the normal modes in the small frequency region

On the approach to equilibrium for a polymer with adsorption and repulsion.

Quasi-polynomial mixing of the 2D stochastic Ising model with “plus” boundary up to criticality

Scaling limit and cube-root fluctuations in SOS surfaces above a wall