Research interests of Aldo Procacci

 

AREAS: Mathematical Physics, Probability, Combinatorics,

SUB AREAS: Equilibrium Statistical Mechanics; Quantum Field Theory; Fermionic systems, Percolation, Graph Theory

TECHNICAL TOOLS : Renormalization Group;  Cluster expansions


 
 

List of Publications


  1. Procacci, A. Sanchis, R.: "Perfect and separating hash families: new bounds via the algorithmic cluster expansion local lemma." Annales  de l'Institut Henry Poincaré D. Combinatorics, physics and their interactions, to appear (2018).
  2. Procacci, A.; Scoppola, B. ; Scoppola, E. . Effects of boundary conditions on irreversible dynamics. Annales Henry Poincaré, 19, 443-462 (2018).
  3. Procacci, A.: "A Correction to a Remark in a Paper by Procacci and Yuhjtman: New Lower Bounds for the Convergence Radius of the Virial Series" . Journal of statistical Physycs 168, 1353-1362 (2017).
  4. Procacci, A.; Yuhjtman, S.: "Convergence of the Virial and Mayer expansion and the Penrsose identity".  Letters in Mathematical Physics, 107, 31-46 (2017).
  5. Procacci, A.,; Scoppola, B.; Scoppola, E.; "Probabilistic Cellular Automata for the low-temperature 2d Ising Model". Journal of Statistical Physics, 165, 991-1005 (2016). 
  6. Felici, G.; Ndreca, S.; Procacci, A.; Scoppola B.: "A-priori upper bounds for the set covering problem". Annals of Operation Research, 238, 229-241 (2016).
  7. De Lima B. N. B.; Procacci, A.; Yuhjtman, S.: "On stable pair potentials with an attractive tail, remarks on two papers by A. G. Basuev", Communications in Mathematical Physics, 343, 445-476 (2016).
  8. De Lima B. N. B.; Procacci, A. Sanchis, R.: "A remark on monotonicity in Bernoulli bond Percolation",  Journal of Statistical Physics, 160, 1244-1248 (2015).
  9. Colangeli, M.; Procacci, A; Ndreca, S.: "A continuum lmit for the Kronig-Penney model",   Journal of Statistical Mechanics, v. 2015, P6006 (2015).
  10. De Lima B. N. B.; Procacci, A.: "The Mayer Series of the Lennard-Jones gas: improved bounds for the convergence radius", Journal of Statistical Physics, 157, p. 422-435 (2014).
  11. Morais, T.; Procacci, A.; Scoppola, B.: "On Lennard-Jones type potentials and hard-core potentials with an attractive tail", Journal of Statistical Physics, 157, p. 17-39 (2014).
  12. Alves, R. G.; Procacci, A.: "Witness trees in the Moser-Tardos algorithmic Lovász Local Lemma and Penrose trees in the hard-core lattice gas", Journal of Statistical Physics, 156, p. 877-895 (2014).
  13. Morais, T.; Procacci, A.: "Continuous Particles in the Canonical Ensemble as an abstract polymer gas, Journal of Statistical Physics, 151, p. 830-845 (2013).
  14. Jackson, B.; Procacci, A.; Sokal, A. D: "Complex zero-free regions at large |q| for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex weights", Journal of Combinatorial Theory series B, 103, p. 21-45 (2013).
  15. Alves, R. G.; Procacci, A.; Sanchis, R.: "Percolation on infinite graphs and isoperimetric inequalities"  Journal of Statistical Physics, 149, p. 831-845  (2012),.
  16. Ndreca, S.; Procacci A.; Scoppola, B.: "Improved bounds on coloring of graphs". European Journal of Combinatorics, 33, n 4, p. 592-609, (2012).
  17. Böttcher, J.; Kohayakawa, Y.; Procacci, A.: "Properly coloured copies and rainbow copies of large graphs with small maximum degree". Random Structures & Algorithms, 40, n. 4,  p.  425-436 (2012).
  18. Bissacot, R.; Fernández, R.; Procacci A.; Scoppola, B.: "An Improvement of the Lovász Local Lemma via Cluster Expansion ".  Combinatorics Probability and Computing, 20, issue 05, p. 709-719  (2011).
  19. Bissacot, R.; Fernández, R.; Procacci A.: On the convergence of cluster expansions for polymer gases Journal of Statistical Physics 139,  p. 598-617 (2010).
  20. Morais T.; Procacci A.: "Absence of phase transitions  in a class of  integer spin systems" Journal of Statistical Physics (2009)  136, p. 677-684 (2009).
  21. Abdesselam A.; Procacci A.; Scoppola, B.: "Clustering bounds on n-point correlations for unbounded spin systems" Journal of Statistical Physics 136, p. 405-452 (2009).
  22. Procacci A.:  Erratum and Addendum: ``Abstract polymer models with general pair interactions" Journal of Statistical Physics 135, 779-786 (2009).
  23. Procacci A.; Scoppola, B.:  "Convergent expansions for Random Cluster Model with $q>0$ on infinite graphs" Communications on Pure and Applied Analysis 5, 1145-1178 (2008).
  24. Procacci A.;  Sanchis, R.; Scoppola, B;  "Diffusive-Ballistic Transition in Random Walks with Long-Range Self-Repulsion".  Letters in Mathematical Physics  83, 181-187 (2008).
  25. Fernandez, R.; Procacci A.: "Regions without complex zeros for chromatic polynomials on graphs with bounded degree".  Combinatorics Probability and Computing,  17, 225-238 (2008).
  26. Procacci A.:  "Abstract polymer models with general pair interactions"    Journal of Statistical Physics 129, n.1 171-188 (2007).
  27. Fernandez, R.; Procacci A.;  Scoppola, B.: "The analyticity region of the hard sphere gas. Improved bounds". Journal of Statistical Physics, 128,  n.5 1139-1143 (2007).
  28. Fernandez, R.; Procacci A.: "Cluster expansion for abstract polymer models.New bounds from an old approach ".  Communications in Mathematical Physics 274, n.1,  123-140 (2007).
  29. Procacci A.; Scoppola, B.: "Analyticity and mixing properties for Random Cluster Model with q>0 on Zd ". Journal of Statistical Physics (6) 123 (2006) 1285-1310.
  30. Buttà, P.; Procacci A.; Scoppola, B.:  "Kac polymers", Journal of Statistical Physics 119,  Nos.3/4, 643-658 (2005).
  31. Thebaldi, R. S.; Pereira, P.; Procacci A.: "A Cluster Expansion for the Decay of Correlations of Light-Mass Quantum Crystal and Some Stochastic Models Under Intense Noise", Journal of Mathematical Physics 46, 053302 (21 pages) (2005).
  32. de Lima B. N.B.; Procacci, A.: "A note on anisotropic percolation", Letters in Mathematical Phy sics 70, n.3  223-229 (2004).
  33. Braga, G. A.;  Procacci, A.; Sanchis, R.: "Ornstein-Zernike behavior for the Bernoulli bond percolation on Zd in the supercritical regime". Communications on Pure and Applied Analysis, 3, n. 4 581-606 (2004).
  34. Procacci A.;  Scoppola, B.;  Braga, G. A.; Sanchis, R.: "Percolation connectivity in the highly supercritical regime". Markov Processes and Related Field  10, n. 4, 607-628 (2004).
  35. Procacci A.; Scoppola, B.:  "Infinite graphs with  a nontrivial bond percolation threshold: some sufficient conditions". Journal of Statistical Physics, 115,  Nos 3/4,  1113-1127 (2004).
  36. Procacci A.; Scoppola, B.; Gerasimov, V.: "Potts model on infinite graphs and the limit of chromatic polynomials",  Communications in Mathematical Physics.,  235,  n.2, 215-231 (2003).
  37. Braga, G. A.;  Procacci, A.; Sanchis, R.:  "Analyticity of the d-dimensional bond percolation probability around p=1",  Journal of Statistical Physics, 107, Nos 5/6, 1267-1282  (2002).
  38. Mazel, A.; Procacci A.;  Scoppola, B.: "Gas phase of the asymmetric nearest neighbours Ising model".  Journal of Statistical Physics, 106, Nos 5/6 1241-1248 (2002).
  39. Procacci A.; Scoppola, B.:  "On decay of correlations in unbounded spin systems with arbitrary boundary conditions". Journal of Statistical Physics, 105, Nos 3/4, 453-482 (2001).
  40. Procacci A.; Scoppola, B.:  "The gas phase of  continuous systems of hard spheres interacting via n-body potential". Communications in Mathematical Physics, 211, n.2,  487-496 (2000).
  41. Pereira, E., Procacci, A.: "Absence of Mass Generation in  the d >=3, N>=1 Weakly Coupled Gross-Neveu Model". Physical Review D 61, 107701  (4 pages) (2000).
  42. Procacci A.; Scoppola, B.:  "Statistical mechanics approach to coding theory". Journal of Statistical Physics, 96, Nos. 3/4,  907-912 (1999).
  43. Procacci A.; Scoppola, B.:  "Polymer gas approach to N-body lattice systems". Journal of Statistical Physics, 96 , Nos. 1/2, 49-68 (1999).
  44. Procacci A.; Scoppola, B.:  "Espectations of fermionic fields with N components". Letters in Mathematical Physics, 47,  n. 1, 75-84 (1999).
  45. Pereira, E.; Procacci, A., O'Carroll, M.: "Multiscale Formalism for Correlation Functions of Fermions. Infrared Analysis of the Tridimensional Gross-Neveu Model". Journal of Statistical Physics, 95, Nos. 3/4, 665-692 (1999).
  46. Procacci, A.: "The tree graph identity and the polymer expansion". Mathematical Results in Statistical Mechanics, S. Miracle-Sole, J, Ruiz and V. Zagrebnov, ed. , World Scientific Publisher, p. 103-110, (1999).
  47. Procacci, A.; de Lima,  B. N.B.; Scoppola, B.: "A Remark on high temperature polymer expansion for lattice systems with infinite range pair interactions". Letters in Mathematical Physics, 45, n. 4, 303-322 (1998).
  48. Procacci, A; Pereira, E.: "Infrared analysis of the tridimensional Gross-Neveu model: pointwise bounds for the effective potential". Annales de l'Institut Henry Poincaré (A) Theoretical Physics, 71, n. 2, 129-198 (1999).
  49. Pereira, E.; Procacci, A.: "Block Renormalization Group Approach for Correlation Function of Interacting Fermions". Letter in Mathematical Physicis, 42, n.3, 261-270 (1997).
  50. Pereira, E.; Procacci,A.; Neves, A. G. M. , Marchetti, D. H. U.: "Coulomb interaction symmetries and the Mayer series in the two-dimensional dipole gas". Journal of Statisitical Physics, 87, nr. 3/4, 877-889 (1997).
  51. Pereira, E.; Procacci,A.: "Block renormalization Group in a Formalism with Lattice Wavelets: Correlation function Formulas for Interacting Fermions". Annals of Physics, 255, 19-33, (1997).
  52. Benfatto, G.; Gallavotti, G.; Procacci, P.  Scoppola, B.: "Beta Function and Schwinger Functions for a Many Fermions System in One Dimension. Anomaly of the Fermi Surface, Communications in Mathematical Physics". 160, n.1, 93-171,  (1994).
     

 
 

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