Scientific Papers by Fabio Martinelli


  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).
  2.  
  3. G.Jona-Lasinio,F.Martinelli,E.Scoppola : The semiclassical limit of quantum mechanics: A qualitative theory via stochastic mechanics Phys. Rep. 77 N1 (1981)
  4.  
  5. G.Jona-Lasinio,F.Martinelli,E.Scoppola : Decaying quantum mechanical states;an informal discussion within stochastic mechanics Lett. Nuovo Cimento 34 N1 (1981)
  6.  
  7. W.Kirsch,F.Martinelli: On the ergodic properties of the spectrum of general random operators J.fur die reine und angew.Mathematik Band 334 (1981)
  8.  
  9. W.Kirsch, F.Martinelli: On the spectrum of Schrodinger operators with a random potential Comm.math.Phys. 85 (1982)
  10.  
  11. W.Kirsch, F.Martinelli: On the density of states of Schrodinger operators with a random potential J.Phys.A: Math.and Gen. 15 (1982).
  12.  
  13. S.Albeverio,R.Hoegh-Krohn,W.Kirsch,F.Martinelli: The spectrum of the three dimensional Kronig-Penney model with random point defects Adv.Appl.Math. 3 (1982)
  14.  
  15. W.Kirsch,F.Martinelli: On the essential selfadjointness of stochastic Schrodinger operators Duke J. of Math. 50 (1983)
  16.  
  17. W.Kirsch,F.Martinelli: Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians Comm.Math.Phys. 89 (1983)
  18.  
  19. R.Hoegh-Krohn,H.Holden,F.Martinelli: The spectrum of defect periodic point interactions Lett.Math.Phys. 7 (1983).
  20.  
  21. D.Merlini, F.Martinelli: A refined Mermin argument for the two dimensional jellium J.Stat.Phys. 34 N.1,2 (1984)
  22.  
  23. H.Holden,F.Martinelli: On absence of diffusion near the bottom of the spectrum of random Schrodinger operator on $L^2(R^d)$ Comm.Math.Phys. 93 (1984)
  24.  
  25. 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)
  26.  
  27. 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)
  28.  
  29. 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)
  30.  
  31. J.Frohlich, F.Martinelli,E.Scoppola,T.Spencer: Constructive proof of localization in the Anderson tight binding model Comm.Math.Phys. 101 (1985)
  32.  
  33. 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)
  34.  
  35. 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
  36.  
  37. F.Martinelli: The wave equation in random domains: localization of the normal modes in the small frequency region Ann.Inst.H.Poincare, 43 , N2 (1985)
  38.  
  39. A.Klein, F.Martinelli,J.F.Perez: ``A rigorous replica trick approach to Anderson localization in one dimension Comm.Math.Phys. 106 N.4 (1986)
  40.  
  41. R.Carmona,A.Klein, F.Martinelli: Anderson localization for Bernoulli and other singular potentials Comm.Math.Phys. 108 (1987)
  42.  
  43. F.Martinelli,L.Micheli: Large coupling behaviour of the Lyapunov exponent of a bynary alloy J.Stat.Phys. 48 No. 1/2 1987
  44.  
  45. F.Martinelli,E.Scoppola: Introduction to the mathematical theory of Anderson localization Rivista del Nuovo Cimento 10 1987
  46.  
  47. F.Martinelli,E.Scoppola: Random composition of two rational maps: singularity of the invariant measure Journal Stat.Phys. 50 No. 5/6 1988
  48.  
  49. F.Martinelli,E.Scoppola: Small random perturbations of dynamical systems:exponential loss of memory of the initial condition Comm.Math.Phys. 120 1988
  50.  
  51. 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
  52.  
  53. A.Galves,F.Martinelli,E.Olivieri: Large density fluctuations for the one dimensional supercritical contact process Journal Stat.Phys. 55 Nos 3/4 1989
  54.  
  55. F.Martinelli,E.Scoppola: Sur les flots stochastiques donnes par des petites perturbationes stochastiques des systemes dynamiques C.R.A.S. 1989
  56.  
  57. 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
  58.  
  59. 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
  60.  
  61. 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
  62.  
  63. 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
  64.  
  65. F.Martinelli, E.Scoppola: A simple stochastic cluster dynamics: rigorous results J.Phys.A: Math. Gen. 24 1991
  66.  
  67. F.Martinelli: Dynamical analysis of low temperature Monte Carlo algorithms Journal of Stat. Phys. 66 Nos 5/6 1992.
  68.  
  69. F.Martinelli,L.Sbano,E.Scoppola: Small random perturbations of dynamical systems: Recursive multiscale analysis Stochastics and Stochastics reports 49 253 1994
  70.  
  71. F.Martinelli,E.Olivieri: Approach to equilibrium of Glauber dynamics in the one phase region I: The attractive case Comm. Math. Phys. 161 1994.
  72.  
  73. F.Martinelli,E.Olivieri: Approach to equilibrium of Glauber dynamics in the one phase region II: The general case Comm.Math.Phys. 161 1994.
  74.  
  75. F.Martinelli, E.Olivieri: Some remarks on pathologies of renormalization group transformations for the Ising model Journ. Stat. Phys. 72.(1169-1177) 1994
  76.  
  77. F.Martinelli, E.Olivieri,R.H.Schonmann: For Gibbs state of 2D lattice spin systems weak mixing implies strong mixing Comm.Math.Phys 165 (33-47) 1994.
  78.  
  79. F. Martinelli: On the two dimensional dynamical Ising model in the phase coexistence region  J.Stat. Phys. 76, No. 5/6, 1179 1994.
  80.  
  81. F.Martinelli, E.Olivieri: Instability of Renormalization Group Pathologies under Decimation Journ. Stat. Phys. 79 25-42 1995.
  82.  
  83. F.Cesi, F.Martinelli: On the layering transition of an SOS surface interacting with a wall I. Equilibrium results. Journal Stat. Phys. 82, No 3/4, 823, 1996.
  84.  
  85. F.Cesi, F.Martinelli: On the layering transition of an SOS surface interacting with a wall II. The Glauber dynamics. Comm. Math.Phys. 177, 173, 1996.
  86.  
  87. E. Marcelli and F. Martinelli: Some new results on the kinetic Ising model in the phase coexistence region. Journal Stat. Phys. 84, No 3/4, 655, 1996.
  88.  
  89. F. Cesi, G. Guadagni, F. Martinelli and R.H. Schonmann: On the 2D stochastic Ising model in the phase coexistence region close to the critical point. Journ. Stat. Phys. 85, no 1/2, 55, 1996.
  90.  
  91. F.Cesi, C.Maes, F.Martinelli: ``Relaxation of Disordered magnets in the Griffiths regime'' Comm.Math.Phys. 188, 135, 1997.
  92.  
  93. F.Cesi, C.Maes, F.Martinelli: ``Relaxation to equilibrium for two dimensional disordered Ising systems in the Griffiths phase'' Comm.Math.Phys. 189, 323, 1997.
  94.  
  95. A.Frigessi, F.Martinelli, J.Stander: ``Computational complexity of Markov chain Monte Carlo methods for finite Markov fields'' Biometrika, 84, No 1, 1, 1997.
  96.  
  97. F.Martinelli: ``Lectures on Glauber dynamics for discrete spin models'' Lecture Notes in Mathematics, vol. 1717, 2000.
  98.  
  99. Cesi, C.Maes, F.Martinelli: Random Magnets: Exact Results for the Griffiths' Regime. Markov Proc. Rel. Fields, 3, No 4, pp. 465-474, 1997
  100.  
  101. Cancrini, F.Cesi, F.Martinelli: "The spectral gap for the Kawasaki dynamics at low temperature"  Journal of Stat. Phys. 95, No 1/2, 215, 1999
  102.  
  103. N. Cancrini, F.Martinelli: "On the spectral gap of Kawasaki dynamics under a mixing condition revisited" Journal of Mathematical Physics. 41, 1391, 2000
  104.  
  105. Alexander, F.Cesi, L.Chayes, C.Maes, F.Martinelli: "Convergence to Equilibrium of Random Ising Models in the Griffiths' Phase" Journal of Stat. Phys. 92, No. 3/4, 337, 1998
  106.  
  107. F.Martinelli: " An Elementary Approach to Finite Size Conditions for the Exponential Decay of Covariances in Lattice Spin Models" Amer. Math. Soc. Transl. (2), vol 198, 169-181, 2000
  108.  
  109. N. Cancrini, F.Martinelli: "Comparison of finite volume canonical and multicanonical Gibbs measures under a mixing condition" MarkovProcesses and Related Fields, 6, No. 1, 23-73, 2000
  110.  
  111. N. Cancrini, F.Martinelli: "Diffusive scaling of the spectral gap for the dilute Ising lattice gas dynamics below the percolation threshold", Probability Theory and Related Fields, 120, No. 4, 2001
  112.  
  113. N. Cancrini, F. Martinelli, C. Roberto: "The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited", Annales de l'Institut H. Poincare' 38, (4), 385-436, 2002.
  114.  
  115. P. Caputo and F. Martinelli: " Asymmetric diffusion and the energy gap above the 111 ground state of the quantum XXZ model ", Comm. Math. Phys. 226, (2), 323-375, 2002.
  116.  
  117. F. Martinelli: " Lectures delivered at the Summer School in Math-Phys Hebrew University August 2001", August 2001
  118.  
  119. G. Favrin, E. Marinari and F. Martinelli: "Droplet motion for the conservative 2D ising lattice gas dynamics below the critical temperature", J. Phys. A: Math. and Gen., 34, 2001.
  120.  
  121. P. Caputo and F. Martinelli: " Relaxation time of anisotropic simple exclusion processes and quantum Heisenberg models", Ann. Appl. Prob. 13, (2), 2003.
  122.  
  123. T. Bodineau and F. Martinelli: "Some new results on the kinetic Ising model in a pure phase", Journal of Stat. Phys. Vol. 109, No.1, 2002
  124.  
  125. A. Faggionato and F. Martinelli: " Hydrodynamic limit of a disordered lattice gas", Prob. Theory and Related Fields, Vol. 127, No.4, 2003
  126.  
  127. F. Martinelli: "Relaxation times of Markov chains in statistical mechanics and combinatorial structures",Encyclopedia of Mathematical Sciences Vol. 110, Springer Ed. 2003
  128.  
  129. F. Martinelli, A. Sinclair and D. Weitz: "Glauber dynamics on trees:Boundary conditions and mixing time ", (2003) to appear in Comm. Math.Phys.
  130.  
  131. F. Martinelli, A. Sinclair and D. Weitz: " Fast mixing for independent sets, colorings and other models on trees", preprint 2003
  132.  
  133. F. Martinelli, A. Sinclair and D. Weitz: "The Ising model on trees: Boundary conditions and mixing time ", to appear in Proc. 44th IEEE Symposium on Foundations of Computer Science 2003