Olivieri, Enzo; Scoppola, Elisabetta An introduction to metastability through random walks. (English) Zbl 1200.82042 Braz. J. Probab. Stat. 24, No. 2, 361-399 (2010). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C20 82C26 82C41 82C80 60J27 PDFBibTeX XMLCite \textit{E. Olivieri} and \textit{E. Scoppola}, Braz. J. Probab. Stat. 24, No. 2, 361--399 (2010; Zbl 1200.82042) Full Text: DOI
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo Perturbative analysis of disordered Ising models close to criticality. (English) Zbl 1153.82023 J. Stat. Phys. 126, No. 4-5, 987-1006 (2007). MSC: 82D30 82D40 82D60 82C20 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 126, No. 4--5, 987--1006 (2007; Zbl 1153.82023) Full Text: DOI arXiv
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo Renormalization group in the uniqueness region: weak Gibbsianity and convergence. (English) Zbl 1130.82309 Commun. Math. Phys. 261, No. 2, 323-378 (2006). MSC: 82B28 82B20 PDFBibTeX XMLCite \textit{L. Bertini} et al., Commun. Math. Phys. 261, No. 2, 323--378 (2006; Zbl 1130.82309) Full Text: DOI arXiv
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo Graded cluster expansion for lattice systems. (English) Zbl 1084.82003 Commun. Math. Phys. 258, No. 2, 405-443 (2005). Reviewer: A. C. D. van Enter (Groningen) MSC: 82B28 82B44 82D30 60K35 PDFBibTeX XMLCite \textit{L. Bertini} et al., Commun. Math. Phys. 258, No. 2, 405--443 (2005; Zbl 1084.82003) Full Text: DOI arXiv
Nardi, F. R.; Olivieri, E.; Scoppola, E. Anisotropy effects in nucleation for conservative dynamics. (English) Zbl 1073.82026 J. Stat. Phys. 119, No. 3-4, 539-595 (2005). MSC: 82C10 PDFBibTeX XMLCite \textit{F. R. Nardi} et al., J. Stat. Phys. 119, No. 3--4, 539--595 (2005; Zbl 1073.82026) Full Text: DOI
den Hollander, F.; Olivieri, E.; Scoppola, E. Metastability and nucleation for conservative dynamics. (English) Zbl 0977.82030 J. Math. Phys. 41, No. 3, 1424-1498 (2000). MSC: 82C20 82C26 60K35 PDFBibTeX XMLCite \textit{F. den Hollander} et al., J. Math. Phys. 41, No. 3, 1424--1498 (2000; Zbl 0977.82030) Full Text: DOI Link
Cirillo, Emilio N. M.; Olivieri, Enzo Renormalization group at criticality and complete analyticity of constrained models: A numerical study. (English) Zbl 0977.82018 J. Stat. Phys. 86, No. 5-6, 1117-1151 (1997). MSC: 82B28 82B20 82B80 60K35 PDFBibTeX XMLCite \textit{E. N. M. Cirillo} and \textit{E. Olivieri}, J. Stat. Phys. 86, No. 5--6, 1117--1151 (1997; Zbl 0977.82018) Full Text: DOI arXiv
Olivieri, E.; Scoppola, E. Markov chains with exponentially small transition probabilities: First exit problem from a general domain. II: The general case. (English) Zbl 1081.60542 J. Stat. Phys. 84, No. 5-6, 987-1041 (1996). MSC: 60J27 60J50 PDFBibTeX XMLCite \textit{E. Olivieri} and \textit{E. Scoppola}, J. Stat. Phys. 84, No. 5--6, 987--1041 (1996; Zbl 1081.60542) Full Text: DOI
Cirillo, Emilio N. M.; Olivieri, Enzo Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition. (English) Zbl 1081.82589 J. Stat. Phys. 83, No. 3-4, 473-554 (1996). MSC: 82C20 60F10 82C24 82C31 PDFBibTeX XMLCite \textit{E. N. M. Cirillo} and \textit{E. Olivieri}, J. Stat. Phys. 83, No. 3--4, 473--554 (1996; Zbl 1081.82589) Full Text: DOI arXiv
Olivieri, E.; Scoppola, E. Markov chains with exponentially small transition probabilities: first exit problem from a general domain. I: The reversible case. (English) Zbl 1081.60541 J. Stat. Phys. 79, No. 3-4, 613-647 (1995). MSC: 60J27 60J50 82C28 PDFBibTeX XMLCite \textit{E. Olivieri} and \textit{E. Scoppola}, J. Stat. Phys. 79, No. 3--4, 613--647 (1995; Zbl 1081.60541) Full Text: DOI
Martinelli, F.; Olivieri, E. Instability of renormalization-group pathologies under decimation. (English) Zbl 1081.82554 J. Stat. Phys. 79, No. 1-2, 25-42 (1995). MSC: 82B28 82B20 PDFBibTeX XMLCite \textit{F. Martinelli} and \textit{E. Olivieri}, J. Stat. Phys. 79, No. 1--2, 25--42 (1995; Zbl 1081.82554) Full Text: DOI
Benfatto, G.; Marinari, E.; Olivieri, E. Some numerical results on the block spin transformation for the 2D Ising model at the critical point. (English) Zbl 1080.82509 J. Stat. Phys. 78, No. 3-4, 731-757 (1995). MSC: 82B20 82-04 82B28 PDFBibTeX XMLCite \textit{G. Benfatto} et al., J. Stat. Phys. 78, No. 3--4, 731--757 (1995; Zbl 1080.82509) Full Text: DOI arXiv
Kotecký, R.; Olivieri, E. Shapes of growing droplets – a model of escape from a metastable phase. (English) Zbl 0831.60103 J. Stat. Phys. 75, No. 3-4, 409-506 (1994). Reviewer: K.Schürger (Bonn) MSC: 60K35 82C44 82C20 PDFBibTeX XMLCite \textit{R. Kotecký} and \textit{E. Olivieri}, J. Stat. Phys. 75, No. 3--4, 409--506 (1994; Zbl 0831.60103) Full Text: DOI
Martinelli, F.; Olivieri, E.; Schonmann, R. H. For 2-D lattice spin systems weak mixing implies strong mixing. (English) Zbl 0811.60097 Commun. Math. Phys. 165, No. 1, 33-47 (1994). MSC: 60K40 82B20 PDFBibTeX XMLCite \textit{F. Martinelli} et al., Commun. Math. Phys. 165, No. 1, 33--47 (1994; Zbl 0811.60097) Full Text: DOI
Martinelli, F.; Olivieri, E. Approach to equilibrium of Glauber dynamics in the one phase region. II: The general case. (English) Zbl 0793.60111 Commun. Math. Phys. 161, No. 3, 487-514 (1994). MSC: 60K35 82C20 82B20 82C05 PDFBibTeX XMLCite \textit{F. Martinelli} and \textit{E. Olivieri}, Commun. Math. Phys. 161, No. 3, 487--514 (1994; Zbl 0793.60111) Full Text: DOI
Martinelli, F.; Olivieri, E. Approach to equilibrium of Glauber dynamics in the one phase region. I: The attractive case. (English) Zbl 0793.60110 Commun. Math. Phys. 161, No. 3, 447-486 (1994). MSC: 60K35 82C20 82B20 82C05 PDFBibTeX XMLCite \textit{F. Martinelli} and \textit{E. Olivieri}, Commun. Math. Phys. 161, No. 3, 447--486 (1994; Zbl 0793.60110) Full Text: DOI
Martinelli, F.; Olivieri, E. Some remarks on pathologies of renormalization-group transformations for the Ising model. (English) Zbl 1101.82312 J. Stat. Phys. 72, No. 5-6, 1169-1177 (1993). MSC: 82B28 82B20 PDFBibTeX XMLCite \textit{F. Martinelli} and \textit{E. Olivieri}, J. Stat. Phys. 72, No. 5--6, 1169--1177 (1993; Zbl 1101.82312) Full Text: DOI
Kotecký, R.; Olivieri, E. Droplet dynamics for asymmetric Ising model. (English) Zbl 1081.82591 J. Stat. Phys. 70, No. 5-6, 1121-1148 (1993). MSC: 82C20 82C27 82C31 PDFBibTeX XMLCite \textit{R. Kotecký} and \textit{E. Olivieri}, J. Stat. Phys. 70, No. 5--6, 1121--1148 (1993; Zbl 1081.82591) Full Text: DOI
Olivieri, E.; Picco, P.; Suhov, Yu. M. On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction. (English) Zbl 0935.82504 J. Stat. Phys. 70, No. 3-4, 985-1028 (1993). MSC: 82B10 82B44 PDFBibTeX XMLCite \textit{E. Olivieri} et al., J. Stat. Phys. 70, No. 3--4, 985--1028 (1993; Zbl 0935.82504) Full Text: DOI
Martinelli, Fabio; Olivieri, Enzo; Scoppola, Elisabetta On the Swendsen-Wang dynamics. I: Exponential convergence to equilibrium. (English) Zbl 0739.60097 J. Stat. Phys. 62, No. 1-2, 117-133 (1991). MSC: 60K35 65C10 PDFBibTeX XMLCite \textit{F. Martinelli} et al., J. Stat. Phys. 62, No. 1--2, 117--133 (1991; Zbl 0739.60097) Full Text: DOI
Martinelli, Fabio; Olivieri, Enzo; Scoppola, Elisabetta Metastability and exponential approach to equilibrium for low-temperature stochastic Ising models. (English) Zbl 0739.60096 J. Stat. Phys. 61, No. 5-6, 1105-1119 (1990). MSC: 60K35 PDFBibTeX XMLCite \textit{F. Martinelli} et al., J. Stat. Phys. 61, No. 5--6, 1105--1119 (1990; Zbl 0739.60096) Full Text: DOI
Olivieri, Enzo; Picco, Pierre Cluster expansion for \(d\)-dimensional lattice systems and finite-volume factorization properties. (English) Zbl 1083.82509 J. Stat. Phys. 59, No. 1-2, 221-256 (1990). MSC: 82B20 82B05 PDFBibTeX XMLCite \textit{E. Olivieri} and \textit{P. Picco}, J. Stat. Phys. 59, No. 1--2, 221--256 (1990; Zbl 1083.82509) Full Text: DOI
Martinelli, Fabio; Olivieri, Enzo; Scoppola, Elisabetta Small random perturbations of finite- and infinite-dimensional dynamical systems: Unpredictability of exit times. (English) Zbl 0714.60109 J. Stat. Phys. 55, No. 3-4, 477-504 (1989). MSC: 60K40 37E99 PDFBibTeX XMLCite \textit{F. Martinelli} et al., J. Stat. Phys. 55, No. 3--4, 477--504 (1989; Zbl 0714.60109) Full Text: DOI
Galves, Antonio; Martinelli, Fabio; Olivieri, Enzo Large-density fluctuations for the one-dimensional supercritical contact process. (English) Zbl 0713.60109 J. Stat. Phys. 55, No. 3-4, 639-648 (1989). MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{A. Galves} et al., J. Stat. Phys. 55, No. 3--4, 639--648 (1989; Zbl 0713.60109) Full Text: DOI
Olivieri, Enzo On a cluster expansion for lattice spin systems: a finite-size condition for the convergence. (English) Zbl 1084.82523 J. Stat. Phys. 50, No. 5-6, 1179-1200 (1988). MSC: 82B20 82B05 PDFBibTeX XMLCite \textit{E. Olivieri}, J. Stat. Phys. 50, No. 5--6, 1179--1200 (1988; Zbl 1084.82523) Full Text: DOI
Campanino, M.; Olivieri, E. One-dimensional random Ising systems with interaction decay \(r^{- (1+\epsilon)}:\) A convergent cluster expansion. (English) Zbl 0642.60103 Commun. Math. Phys. 111, 555-577 (1987). MSC: 60K35 PDFBibTeX XMLCite \textit{M. Campanino} and \textit{E. Olivieri}, Commun. Math. Phys. 111, 555--577 (1987; Zbl 0642.60103) Full Text: DOI
Campanino, M.; Olivieri, E.; van Enter, A. C. D. One dimensional spin glasses with potential decay \(1/r^{1+\epsilon}\). Absence of phase transitions and cluster properties. (English) Zbl 0615.60099 Commun. Math. Phys. 108, No. 2, 241-255 (1987). Reviewer: S.Pogosian MSC: 60K35 PDFBibTeX XMLCite \textit{M. Campanino} et al., Commun. Math. Phys. 108, No. 2, 241--255 (1987; Zbl 0615.60099) Full Text: DOI
Cassandro, M.; Olivieri, E.; Picco, P. Small random perturbations of infinite dimensional dynamical systems and nucleation theory. (English) Zbl 0598.35133 Ann. Inst. Henri Poincaré, Phys. Théor. 44, 343-396 (1986). Reviewer: Y.Kifer MSC: 35R60 82B10 60H15 PDFBibTeX XMLCite \textit{M. Cassandro} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 44, 343--396 (1986; Zbl 0598.35133) Full Text: Numdam EuDML
Cassandro, Marzio; Galves, Antonio; Olivieri, Enzo; Vares, Maria Eulália Metastable behavior of stochastic dynamics: A pathwise approach. (English) Zbl 0591.60080 J. Stat. Phys. 35, 603-634 (1984). MSC: 60J70 60J75 60K35 70F99 PDFBibTeX XMLCite \textit{M. Cassandro} et al., J. Stat. Phys. 35, 603--634 (1984; Zbl 0591.60080) Full Text: DOI