Scientific Papers by Elisabetta Scoppola


  1. G.Jona-Lasinio,F.Martinelli,E.Scoppola: New approach to the semiclassical limit of quantum mechanics: I multiple tunnelings in one dimension Comm.Math.Phys. 80 (1981).
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  2. G.Jona-Lasinio,F.Martinelli,E.Scoppola : The semiclassical limit of quantum mechanics: A qualitative theory via stochastic mechanics Phys. Rep. 77 N1 (1981).
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  3. G.Jona-Lasinio,F.Martinelli,E.Scoppola : The Semiclassical Limit of Quantum Mechanics: a Qualitative Theory via Stochastic Mechanics Phys.Rep. 77, No3, 313-327 (1981).
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  4. G.Jona-Lasinio,F.Martinelli,E.Scoppola : Decaying quantum mechanical states;an informal discussion within stochastic mechanics Lett. Nuovo Cimento 34 N1 (1981)
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  5. S.De Gregorio, E.Scoppola, B.Tirozzi: A Rigorous Study of Periodics Orbits by means of a Computer Jour.Stat.Phys.32, n.1, 25 (1983)
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  6. J.Bellissard, E.Scoppola: The Density of States for Almost Periodic Schroedinger Operators and the Frequency Module: a counter-example Comm.Math.Phys. 85, 301-308 (1982)
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  7. J.Bellissard, R.Lima, E.Scoppola: Localization in $\nu$-dimensional incommensurate structures Comm.Math.Phys. 88, 465 (1983)
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  8. F.Martinelli,E.Scoppola: Remark on the absence of absolutely continuous spectrum in the Anderson model for large disorder or low energy Comm.math. Phys. 97 (1985)
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  9. G.Jona-Lasinio,F.Martinelli,E.Scoppola: A quantum particle in a hierarchical potential with tunneling over arbitrarily large scales J.of Physics A:Math.and Gen. 17 (1984)
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  10. G.Jona-Lasinio,F.Martinelli,E.Scoppola: Multiple tunnelings in d-dimensions: a quantum particle in a hierarchical potential Ann.Inst.H.Poincare 42 n. 1 (1985)
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  11. J.Frohlich, F.Martinelli,E.Scoppola,T.Spencer: Constructive proof of localization in the Anderson tight binding model Comm.Math.Phys. 101 (1985)
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  12. J.Bellissard,D.R.Grempel, F.Martinelli,E.Scoppola: Localization of electrons with spin-orbit or magnetic interactions in a 2-D disordered crystal Phys.Rev.B 33 No.1 (1986)
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  13. G.Jona-Lasinio,F.Martinelli,E.Scoppola: Tunneling in one dimension: general theory,instabilities, rules of calculations applications in Mathematics + Physics Lectures on Recent Results vol 2 ed: L Streit World Scientific 1986
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  14. F.Martinelli,E.Scoppola: Introduction to the mathematical theory of Anderson localization Rivista del Nuovo Cimento 10 1987
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  15. F.Martinelli,E.Scoppola: Random composition of two rational maps: singularity of the invariant measure Journal Stat.Phys. 50 No. 5/6 1988
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  16. F.Martinelli,E.Scoppola: Small random perturbations of dynamical systems:exponential loss of memory of the initial condition Comm.Math.Phys. 120 1988
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  17. F.Martinelli,E.Olivieri,E.Scoppola: Small random perturbations of finite and infinite dimensional dynamical systems: unpredictability of exit times Journal Sta.Phys. vol 55 Nos 3/4 1989
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  18. J.Bellissard, B.Jochum, E.Scoppola, D.Testard: Spectral properties of one dimensional quasicrystals Comm.Math.Phys. 125 , 527-543 (1989)
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  19. F.Martinelli,E.Scoppola: Sur les flots stochastiques donnes par des petites perturbationes stochastiques des systemes dynamiques C.R.A.S. 1989
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  20. F.Martinelli, E.Olivieri, E.Scoppola: On the Swendsen Wang dynamics I: Exponential convergence to equilibrium Journal of Stat. Phys. 62 No 1/2 1991
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  21. F.Martinelli, E.Olivieri, E.Scoppola: On the Swendsen Wang dynamics II: Critical droplets and homogeneous nucleation at low temperature Journal of Stat.Phys. 62 No 1/2 1991
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  22. F.Martinelli, E.Olivieri, E.Scoppola: Rigorous analysis of low temperature stochastic ising models: metastability and exponential approach to equilibrium Europhysics Letters 12 (3) 1990
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  23. F.Martinelli, E.Olivieri, E.Scoppola: Metastability and exponential approach to equilibrium for low temperature Ising models Journal of Stat. Phys. 61 No 5/6 1990
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  24. F.Martinelli, E.Scoppola: A simple stochastic cluster dynamics: rigorous results J.Phys.A: Math. Gen. 24 1991
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  25. F.Martinelli,L.Sbano,E.Scoppola: Small random perturbations of dynamical systems: Recursive multiscale analysis Stochastics and Stochastics reports 49 253 1994
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  26. E.Scoppola: Metastability and nucleation for 2-dimensional Ising systems Invited papers from Statphys 18 - Physica A 194, (1993) , 271.
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  27. E.Scoppola: Renormalization group for Markov chains and application to metastability J.Stat.Phys. 73, 83 (1993)
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  28. E.Scoppola: " Metastability for Markov chains: a general procedure based on renormalization group ideas. " in `` Probability theory of spatial disorder and phase transition'' Cambridge (1993) Ed. G.R.Grimmett - Kluwer Acad.Publ.(1994) pg.303-322
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  29. E.Scoppola: Renormalization and graph methods for Markov chains. in ``Advances in Dynamical Systems and Quantum Physics'' S.Albeverio, R.Figari, E.Orlandi, A.Teta Ed. - World Scientific 1995
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  30. E.Olivieri, E.Scoppola: Markov chains with exponentially small transition probabilities: first exit problem from a general domain. I-The reversible case. J. Stat.Phys. 79, 613-647 (1995)
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  31. E.Olivieri, E.Scoppola: Markov chains with exponentially small transition probabilities: first exit problem from a general domain. II-The general case. J.Stat.Phys. 84, 987-1041 (1996)
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  32. E.Olivieri, E.Scoppola: " Metastability and typical exit paths in stochastic dynamics. " Proceedings of the ECM2 Budapest 1996. Progr. in Math. 169, 124-150 Birkhauser, Boston (1998)
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  33. F.den Hollander, E.Olivieri, E.Scoppola: Metastability and nucleation for conservative dynamics. J.Math.Phys. 41, 1424-1498 (2000) (special issue: Probabilistic Methods in Statistical Physics)
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  34. F.den Hollander, E.Olivieri, E.Scoppola: Nucleation in fluids: some rigorous results. Physica A, 279, 110-122 (2000).
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  35. F.den Hollander, F.Nardi, E.Olivieri, E.Scoppola: Droplet growth for three-dimensional Kawasaki dynamics. PTRF, 125, 153-194 (2003)
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  36. F.Manzo, F.Nardi, E.Olivieri, E.Scoppola: " On the Essential Features of Metastability: Tunnelling Time and Critical Configurations. " J.Stat.Phys. 115, 591-642 (2004)
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