AREAS: Mathematical Physics, Probability, Combinatorics,
SUB AREAS: Equilibrium Statistical Mechanics; Quantum Field Theory; Fermionic systems, Percolation, Graph Theory
TECHNICAL TOOLS : Renormalization Group; Cluster expansions; Probabilistic method in combinatorics
List of Publications
Published papers
Fialho, P. M. S.; Juliano E.; Procacci A.: On the zero-free region for the chromatic polynomial of graphs with maximum degree Δ and girth g, Discrete Mathematics, 349, Issue 3, 114825 (2026), Doi
Fialho, P. M. S.; Juliano E; Procacci A.; A remark on the Whitney Broken Circuit Theorem. Computational & Applied Mathematics, 44, 298-304, (2025). Doi
Borel, E. F. ; Procacci, A.; Sanchis, R.; Silva, R. W. C. . Anisotropic Ising model in d+s dimensions. Annales Henri Poincaré 26, 1519–1532, (2025). Doi
Procacci, A. ; Scoppola, B. . On the local central limit theorem for interacting spin systems, Annales Henri Poincaré, 25, 5349–5366 (2024). Doi
de Lima, B. N. B.; Mariani, R.; Procacci, A.; Scoppola, B.: The Blume–Emery–Griffiths Model on the FAD Point and on the AD Line, Journal of Statistical Physics, 190, Article number: 170 (2023). Doi
Fialho, P. M. S.; de Lima, B. N. B.; Procacci, A.; Scoppola, B.: On the analyticity of the pressure for a non ideal gas with high density boundary conditions. Journal of Mathematical Physics, 64, 053302(16 pags), (2023). Doi
Fialho, P. M. S.; de Lima, B. N. B.; Procacci, A.: Moser-Tardos resampling algorithm, entropy compression method and the subset gas. Annales de l'Institut Henri Poincare D, 9, 435-471 (2022). Doi
Procacci, A.; Yuhjtman, S.: Classical Particles in the Continuum Subjected to High Density Boundary Conditions. Annales Henry Poincaré, 23, 799-827 (2022). Doi
Alves, R. G.; Procacci, A. ; Sanchis, R.: Entropy compression versus Lovász Local Lemma. Advances in Applied Mathematics, 125, 102163 (2021). Doi
Procacci, A: Virial series for a system of classical particles interacting through a pair potential with negative minimum. Reviews in Mathematical Physics, 34, 2250006 (2021). Doi
Lima, P. C ; Lopes de Jesus, R.; Procacci, A.: Absolute convergence of the free energy of the BEG model in the disordered region for all temperatures. Journal of Statistical mechanics - Theory and Experiments, 2020, 063202 (2020). Doi
Fialho, P. M. S.; de Lima, B. N. B.; Procacci, A.: A new bound on the acyclic edge chromatic number. Discrete Mathematics, 343, 112037(11 pages), (2020). Doi
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, 5, no. 2, 153–171 (2018). Doi
Procacci, A.; Scoppola, B. ; Scoppola, E. . Effects of boundary conditions on irreversible dynamics. Annales Henry Poincaré, 19, 443-462 (2018). Doi
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). Doi
Procacci, A.; Yuhjtman, S.: The Mayer series and the Penrose tree gaph identity, Oberwolfach Rep. 14 (2017), in: Miniworkshop: Cluster expansions: From Combinatorics to Analysis through Probability (R. Fernandez, S. Jansen, D. Tsagkarogiannis, eds.) (2017) Doi
Procacci, A.; Yuhjtman, S.: Convergence of the Virial and Mayer expansion and the Penrsose identity. Letters in Mathematical Physics, 107, 31-46 (2017). Doi
Procacci, A.,; Scoppola, B.; Scoppola, E.; Probabilistic Cellular Automata for the low-temperature 2d Ising Model. Journal of Statistical Physics, 165, 991-1005 (2016). Doi
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). Doi
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). Doi
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). Doi
Colangeli, M.; Procacci, A; Ndreca, S.: A continuum lmit for the Kronig-Penney model, Journal of Statistical Mechanics - Theory and Experiments, v. 2015, P6006 (2015). Doi
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). Doi
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). Doi
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). Doi
Morais, T.; Procacci, A.: Continuous Particles in the Canonical Ensemble as an abstract polymer gas, Journal of Statistical Physics, 151, p. 830-845 (2013). Doi
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). Doi
Alves, R. G.; Procacci, A.; Sanchis, R.: Percolation on infinite graphs and isoperimetric inequalities, Journal of Statistical Physics, 149, p. 831-845 (2012). Doi
Ndreca, S.; Procacci A.; Scoppola, B.: Improved bounds on coloring of graphs, European Journal of Combinatorics, 33, n 4, p. 592-609, (2012). Doi
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). Doi
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). Doi
Bissacot, R.; Fernández, R.; Procacci A.: On the convergence of cluster expansions for polymer gases, Journal of Statistical Physics 139, p. 598-617 (2010). Doi
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). Doi
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). Doi
Procacci A.: Erratum and Addendum: Abstract polymer models with general pair interactions, Journal of Statistical Physics 135, 779-786 (2009). Doi
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). Doi
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). Doi
Fernandez, R.; Procacci A.: Regions without complex zeros for chromatic polynomials on graphs with bounded degree. Combinatorics Probability and Computing, 17, 225-238 (2008). Doi
Procacci A.: Abstract polymer models with general pair interactions, Journal of Statistical Physics 129, n.1 171-188 (2007). Doi
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). Doi
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). Doi
Procacci A.; Scoppola, B.: Analyticity and mixing properties for Random Cluster Model with q>0 on Zd . Journal of Statistical Physics 123 1285-1310 (2006). Doi
Buttà, P.; Procacci A.; Scoppola, B.: Kac polymers, Journal of Statistical Physics 119, Nos.3/4, 643-658 (2005). Doi
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). Doi
de Lima B. N.B.; Procacci, A.: A note on anisotropic percolation, Letters in Mathematical Physics 70, n.3 223-229 (2004). Doi
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). Doi
Braga, G. A.; Procacci A.; Sanchis, R.; Scoppola, B.: Percolation connectivity in the highly supercritical regime. Markov Processes and Related Field, 10, n. 4, 607-628 (2004). Doi
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). Doi
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). Doi
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). Doi
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). Doi
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). Doi
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). Doi
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). Doi
Procacci A.; Scoppola, B.: Statistical mechanics approach to coding theory. Journal of Statistical Physics, 96, Nos. 3/4, 907-912 (1999). Doi
Procacci A.; Scoppola, B.: Polymer gas approach to N-body lattice systems. Journal of Statistical Physics, 96 , Nos. 1/2, 49-68 (1999). Doi
Scoppola, B.; Procacci A.: Expectations of fermionic fields with N components. Letters in Mathematical Physics, 47, n. 1, 75-84 (1999). Doi
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). Doi
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). Link
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). Doi
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). Doi
Pereira, E.; Procacci, A.: Block Renormalization Group Approach for Correlation Function of Interacting Fermions. Letter in Mathematical Physicis, 42, n.3, 261-270 (1997). Doi
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). Doi
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). Doi
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). Doi
Preprints