Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Toninelli, F. L."'
Autor:
Toninelli, F. L.
Publikováno v:
Proceedings of the International Congress of Mathematicians 2018, Rio, vol 2, 2719-2744
Stochastic interface dynamics serve as mathematical models for diverse time-dependent physical phenomena: the evolution of boundaries between thermodynamic phases, crystal growth, random deposition... Interesting limits arise at large space-time scal
Externí odkaz:
http://arxiv.org/abs/1711.05571
Autor:
Laslier, B., Toninelli, F. L.
Publikováno v:
Ann. Henri Poincare: Theor. Math. Phys, vol. 18 (2017), 2007-2043
We study a reversible continuous-time Markov dynamics on lozenge tilings of the plane, introduced by Luby et al. Single updates consist in concatenations of $n$ elementary lozenge rotations at adjacent vertices. The dynamics can also be seen as a rev
Externí odkaz:
http://arxiv.org/abs/1607.03751
Let D be a bounded, smooth enough domain of R^2. For L>0 consider the continuous time, zero-temperature heat bath dynamics for the nearest-neighbor Ising model on (Z/L)^2 (the square lattice with lattice spacing 1/L) with initial condition such that
Externí odkaz:
http://arxiv.org/abs/1306.4507
Publikováno v:
J. Eur. Math Soc 16 (2014), 2557-2615
Let $\DD$ be a simply connected, smooth enough domain of $\bbR^2$. For $L>0$ consider the continuous time, zero-temperature heat bath dynamics for the nearest-neighbor Ising model on $\mathbb Z^2$ with initial condition such that $\sigma_x=-1$ if $x\
Externí odkaz:
http://arxiv.org/abs/1112.3160
Publikováno v:
Commun. Math. Phys. 287 (2009), 867-887.
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 to be of the form K(n)=n^{-\alpha-1}L(n), with L(.
Externí odkaz:
http://arxiv.org/abs/0712.2515
Autor:
Toninelli, F. L.
Publikováno v:
Electron. J. Probab. 12, 613-636 (2007)
We consider models of directed polymers interacting with a one-dimensional defect line on which random charges are placed. More abstractly, one starts from renewal sequence on $\Z$ and gives a random (site-dependent) reward or penalty to the occurren
Externí odkaz:
http://arxiv.org/abs/math/0611868
Autor:
Giacomin, G., Toninelli, F. L.
Publikováno v:
J. Phys. A: Math. Theor. 40 (2007) 5261-5275
We present an approach to studying directed polymers in interaction with a defect line and subject to a force, which pulls them away from the line. We consider in particular the case of inhomogeneous interactions. We first give a formula relating the
Externí odkaz:
http://arxiv.org/abs/cond-mat/0610663
Autor:
Toninelli, F. L.
Publikováno v:
J. Statist. Phys. 126, 1025-1044 (2007).
We consider models of directed random polymers interacting with a defect line, which are known to undergo a pinning/depinning (or localization/delocalization) phase transition. We are interested in critical properties and we prove, in particular, fin
Externí odkaz:
http://arxiv.org/abs/cond-mat/0604453
Autor:
Giacomin, G., Toninelli, F. L.
Publikováno v:
Phys. Rev. Lett. 96, 070602 (2006)
We consider disordered models of pinning of directed polymers on a defect line, including (1+1)-dimensional interface wetting models, disordered Poland--Scheraga models of DNA denaturation and other (1+d)-dimensional polymers in interaction with colu
Externí odkaz:
http://arxiv.org/abs/cond-mat/0510472
Autor:
Giacomin, G., Toninelli, F. L.
Publikováno v:
Alea 1, 149-180 (2006)
We analyze the localized phase of a general model of a directed polymer in the proximity of an interface that separates two solvents. Each monomer unit carries a charge, $\omega_n$, that determines the type (attractive or repulsive) and the strength
Externí odkaz:
http://arxiv.org/abs/math/0510047