Recent Papers by Roberto H. Schonmann

The survival of large dimensional threshold contact processe (With Tom Moutford) The Annals of Probability Vol 37 pp. 1483-1501 (2009).

Bootstrap percolation on Homogeneous trees has two phase transitions (With Luiz Renato Fontes) Journal of Statistical Physics Vol 132 pp. 839-861 (2008).

Threshold $\theta \geq 2$ contact processes on homogeneous tree (With Luiz Renato Fontes) Probability Theory and Related Fields Vol 141 pp. 513-541 (2008).

3D crystal: how flat its flat facets are? (With T. Bodineau and S. Shlosman) Communications in Mathematical Physics Vol 255 pp. 747-766 (2005).

Einstein relation for a class of interface models. Communications in Mathematical Physics Vol 232 pp. 279-302 (2003).

Stretched exponential fixation in stochastic Ising models at zero temperature. (With L. R. Fontes and V. Sidoravicius) Communications in Mathematical Physics Vol 228 pp.495-518 (2002).

Mean-field criticality for percolation on planar non-amenable graphs. Communications in Mathematical Physics, Vol 225 pp.453-463 (2002).

Rigidity of the critical phases on a Cayley tree. (With P. Bleher, J. Ruiz, S. Shlosman and V. Zagrebnov) Moskow Mathematical Journal, Vol. 1 pp.345-363 (2001).

Multiplicity of phase transitions and mean-field criticality on highly non-amenable graphs. Communications in Mathematical Physics, Vol. 219 pp. 271-322 (2001).

Mixed percolation as a bridge between site and bond percolation. (With L. Chayes) The Annals of Applied Probability, Vol. 10 pp. 1182-1196 (2000).

The Ising model on diluted graphs and strong amenability. (With O. Häggström and J. Steif) The Annals of Probability, Vol. 28 pp. 1111-1137 (2000).

The Griffiths singularity random field. (With A. van Enter, C. Maes and S. Shlosman) On Dobrushin's way: from probability theory to statistical physics. R. Minlos, S. Shlosman, Yu. Suhov, eds. AMS (2000), pp. 51-58.

Percolation on transitive graphs as a coalescent process: relentless merging followed by simultaneous uniqueness. (With O. Häggström and Y. Peres) Perplexing Problems in Probability. Festschrift in honor of Harry Kesten. M. Bramson, R. Durrett, eds. Birkhäuser (1999), pp. 69-90.

Percolation in $\infty + 1$ dimensions at the uniqueness threshold. Perplexing Problems in Probability. Festschrift in honor of Harry Kesten. M. Bramson, R. Durrett, eds. Birkhäuser (1999), pp. 53-67.

Stability of infinite clusters in supercritical percolation. Probability Theory and Related Fields, Vol. 113 pp. 287-300 (1999).

Metastability and the Ising model Proceedings of the International Congress of Mathematicians, Berlin 1998, Vol. III. G.Fischer, U.Rehmann, eds. (Documenta Mathematica, Extra Volumes, 1998), pp. 173-181.

A Note on Percolation in a Voronoi competition-growth model (With E. Kira and E. J. Neves) Journal of Statistical Physics, Vol. 92 pp. 755-764 (1998).

The second lowest extremal invariant measure of the contact process II (With M. Salzano) The Annals of Probability, Vol. 27 pp. 845--875 (1999).

Dobrushin-Kotecky-Shlosman theorem up to the critical temperature (With D. Ioffe) Communications in Mathematical Physics, Vol. 199 pp. 117-167 (1998).

The triangle condition for contact processes on homogeneous trees Journal of Statistical Physics, Vol. 90 pp. 1429-1440 (1998).

A new proof that for the contact process on homogeneous trees local survival implies complete convergence (With M. Salzano) The Annals of Probability, Vol. 26 pp. 1251-1258 (1998).

Wulff droplets and the metastable relaxation of kinetic Ising models (With S. B. Shlosman) Communications in Mathematical Physics, Vol. 194 pp. 389-462 (1998).

Lack of monotonicity in ferromagnetic Ising model phase diagrams (With N. I. Tanaka) The Annals of Applied Probability Vol. 8 pp. 234-245 (1998).

Complete analyticity of the 2D Potts model above the critical temperature (With A. C. D. van Enter, R. Fernandez and S. B. Shlosman) Communications in Mathematical Physics, Vol. 189 pp. 373-393 (1997).

Metropolis dynamics relaxation via nucleation and growth (With P.Dehghanpour) Communications in Mathematical Physics, Vol. 188 pp. 89-119 (1997).

The second lowest extremal invariant measure of the contact process (With M. Salzano) The Annals of Probability, Vol. 25 pp. 1846-1871 (1997).

A nucleation-and-growth model (With P.Dehghanpour) Probability Theory and Related Fields, Vol. 107 pp. 123-135 (1997).

Exponential relaxation of Glauber dynamics with some special boundary conditions (With N. Yoshida) Communications in Mathematical Physics, Vol. 189 pp. 299-309 (1997).

Domination by product measures (With T. M. Liggett and A. Stacey) The Annals of Probability, Vol. 25 pp. 71-95 (1997).

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