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The Thermodynamic Limit in Mean Field Spin Glass Models

- F. Guerra, F. Toninelli
- Mathematics
- 12 April 2002

Abstract: We present a simple strategy in order to show the existence and uniqueness of the infinite volume limit of thermodynamic quantities, for a large class of mean field disordered models, as… Expand

Smoothing Effect of Quenched Disorder on Polymer Depinning Transitions

- G. Giacomin, F. Toninelli
- Computer Science
- 21 June 2005

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Fractional Moment Bounds and Disorder Relevance for Pinning Models

- B. Derrida, G. Giacomin, H. Lacoin, F. Toninelli
- Mathematics
- 15 December 2007

We study the critical point of directed pinning/wetting models with quenched disorder. The distribution K(·) of the location of the first contact of the (free) polymer with the defect line is assumed… Expand

A Replica-Coupling Approach to Disordered Pinning Models

- F. Toninelli
- Mathematics
- 26 January 2007

We consider a renewal process τ = {τ0, τ1,...} on the integers, where the law of τi − τi-1 has a power-like tail P(τi − τi-1 = n) = n−(α+1)L(n) with α ≥ 0 and L(·) slowly varying. We then assign a… Expand

Disorder relevance at marginality and critical point shift

- G. Giacomin, H. Lacoin, F. Toninelli
- Physics, Mathematics
- 10 June 2009

Recemment, les predictions issues des methodes de groupe de renormalisation concernant l'influence du desordre pour les modeles d'accrochage ont ete rendus rigoureuses mathematiquement. La… Expand

About the Almeida-Thouless transition line in the Sherrington-Kirkpatrick mean-field spin glass model

- F. Toninelli
- Physics
- 11 July 2002

We consider the Sherrington-Kirkpatrick model and we prove that the quenched free energy per spin is strictly larger than the corresponding replica symmetric approximation, for all values of the… Expand

On the Mixing Time of the 2D Stochastic Ising Model with “Plus” Boundary Conditions at Low Temperature

- F. Martinelli, F. Toninelli
- Mathematics
- 19 May 2009

We consider the Glauber dynamics for the 2D Ising model in a box of side L, at inverse temperature β and random boundary conditions τ whose distribution P either stochastically dominates the extremal… Expand

Marginal relevance of disorder for pinning models

- G. Giacomin, F. Toninelli, H. Lacoin
- Computer Science
- 5 November 2008

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Disordered pinning models and copolymers: Beyond annealed bounds

- F. Toninelli
- Physics
- 11 September 2007

We consider a general model of a disordered copolymer with ad-sorption. This includes, as particular cases, a generalization of thecopolymer at a selective interface introduced by Garel et al.… Expand

Smoothing of depinning transitions for directed polymers with quenched disorder.

- G. Giacomin, F. Toninelli
- PhysicsPhysical review letters
- 18 October 2005

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