List of referred papers




- Scaling limit of domino tilings on a pentagonal domain
F. Colomo and A. G. Pronko
arXiv:2407.07849 [abs, pdf]


- Evaluation of integrals for the emptiness formation probability in the square-ice model
F. Colomo and A. G. Pronko
Nucl. Phys. B 1004 (2024) 116565 [abs]
arXiv:2405.04358 [abs, pdf]


- Arctic curves of the four-vertex model
I. N. Burenev, F. Colomo, A. Maroncelli and A. G. Pronko
J. Phys. A: Math. Theor. 56 (2023) 465202 [abs]
arXiv:2307.03076 [abs, pdf]


- Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
F. Colomo, G. Di Giulio and A. G. Pronko
Nucl. Phys. B 972 (2021) 115535 [abs]
arXiv:2107.13358 [abs, pdf]


- Integral formulas and antisymmetrization relations for the six-vertex model
L. Cantini, F. Colomo and A. G. Pronko
Ann. H. Poincaré 21 (2020) 865 [abs]
arXiv:1906.07636 [abs, pdf]


- Arctic curves of the free-fermion six-vertex model in an L-shaped domain
F. Colomo, A. G. Pronko and A. Sportiello
J. Stat. Phys. 174 (2019) 1 [abs]
arXiv:1807.07549 [abs, ps, pdf]


- Generalized emptiness formation probability in the six-vertex model
F. Colomo, A. G. Pronko and A. Sportiello
J. Phys. A: Math. Theor. 49 (2016) 415203 [abs]
arXiv:1605.01700 [abs, ps, pdf]


- Arctic curves of the six-vertex model on generic domains: the Tangent Method
F. Colomo, A. Sportiello
J. Stat. Phys. 164 (2016) 1488 [abs]
arXiv:1605.01388 [abs, ps, pdf]


- Thermodynamics of the six-vertex model in an L-shaped domain
F. Colomo, A. G. Pronko
Commun. Math. Phys. 339 (2015) 699 [abs]
arXiv:1501.03135 [abs, ps, pdf]


- Third-order phase transition in random tilings
F. Colomo, A. G. Pronko
Phys. Rev. E 88 (2013) 042125 [abs]
arXiv:1306.6207 [abs, ps, pdf]


- On the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions
F. Colomo, A. G. Pronko
Teor. Mat. Fiz. 171 (2012) 154 [abs] (or Theor. Math. Phys. 171 (2012) 641 [abs])
arXiv:1111.4353 [abs, ps, pdf]


- Algebraic arctic curves in the domain-wall six-vertex model
F. Colomo, V. Noferini, A. G. Pronko,
J. Phys. A: Math. Theor. 44 (2011) 195201 [abs]
arXiv:1012.2555 [abs, ps, pdf]


- The arctic curve of the domain-wall six-vertex model in the anti-ferroelectric regime
F. Colomo, A. G. Pronko, P. Zinn-Justin
J. Stat. Mech.: Theor. Exp. (2010) L03002 [abs]
arXiv:1001.2189 [abs, ps, pdf]


- The arctic curve of the domain-wall six-vertex model
F. Colomo, A. G. Pronko
J. Stat. Phys 138 (2010) 662 [abs]
arXiv:0907.1264 [abs, ps, pdf]


- When finite-size corrections vanish: the S=1/2 XXZ model and the Razumov-Stroganov state
L. Banchi, F. Colomo, P. Verrucchi
Phys. Rev. A 80 (2009) 022341 [abs]
arXiv:0906.3703 [abs, ps, pdf]


- Limit shape of large Alternating Sign Matrices
F. Colomo, A. G. Pronko
SIAM J. Discrete Math. 24 (2010) 1558-1571 [abs]
arXiv:0803.2697 [abs, ps, pdf]


- Emptiness formation probability in the domain wall six-vertex model
F. Colomo, A. G. Pronko
Nuclear Physics B 798 (2008) 340 [abs]
arXiv:0712.1524 [abs, ps, pdf]


- The arctic circle revisited
F. Colomo, A. G. Pronko
Contemporary Mathematics, 458 (2008) 361
arXiv:0704.0362 [abs, ps, pdf]


- The role of orthogonal polynomials in the six-vertex model and its combinatorial applications
F. Colomo, A. G. Pronko
J. Phys. A: Math. Gen. 39 (2006) 9015 [abs]
arXiv:math-ph/0602033 [abs, ps, pdf]


- On two-point boundary correlations in the six-vertex model with DWBC
F. Colomo, A. G. Pronko
J. Stat. Mech.: Theor. Exp. (2005) P05010 [abs]
arXiv:math-ph/0503049 [abs, ps, pdf]


- Square ice, alternating sign matrices and classical orthogonal polynomials
F. Colomo, A. G. Pronko
J. Stat. Mech.: Theor. Exp. (2005) P01005 [abs]
arXiv:math-ph/0411076 [abs, ps, pdf]


- On the refined 3-enumeration of alternating sign matrices
F. Colomo, A. G. Pronko
Adv. Appl. Math. 34 (2005) 798 [abs]
arXiv:math-ph/0404045 [abs, ps, pdf]


- On the partition function of the six-vertex model with domain wall boundary conditions
F. Colomo, A. G. Pronko
J. Phys. A: Math. Gen. 37 (2004) 1987 [abs]
arXiv:math-ph/0309064 [abs, ps, pdf]


- On some representations of the six-vertex model partition function
F. Colomo, A. G. Pronko
Phys. Lett. A 315 (2003) 231 [abs]
local file [pdf]


- Area versus length distribution for closed random walks
F. Colomo
J. Phys. A: Math. Gen. 36 (2003) 1539 [abs]
arXiv:cond-mat/0212564 [abs, ps, pdf]


- Counting nonplanar diagrams: an exact formula
F. Colomo
Phys. Lett. A 284 (2001) 12 [abs]
local file [pdf]


- Frustrated spin models and the q-calculus
A. Cappelli, F. Colomo
Journal de Physique IV 8 (1998) 87 [abs]
local file [ps]


- Solving the frustrated spherical model with $q$-polynomials
A. Cappelli, F. Colomo
J. Phys. A: Math. Gen. 31 (1998) 3141 [abs]
arXiv:hep-th/9710071 [abs, ps, pdf]


- Correlation functions in the XXO Heisenberg chain and their relations with spectral shapes
F. Colomo, A. G. Izergin, V. Tognetti
J. Phys. A: Math. Gen. 30 (1997) 361 [abs]
local file [pdf]


- Temperature Correlation functions in the XX0 Heisenberg chain
F. Colomo, A. G. Izergin, V. E. Korepin, V. Tognetti
Teor. Mat. Fiz. 94 (1993) 19 [abs] or Theor. Math. Phys. 94 (1993) 11 [abs]
local file [pdf]


- Correlators in the Heisenberg XXO chain as Fredholm determinants
F. Colomo, A. G. Izergin, V. E. Korepin, V. Tognetti
Phys. Lett. A 169 (1992) 243 [abs]
local file [pdf]


- The subleading magnetic deformation of the tricritical Ising model in 2D as RSOS restriction of the Izergin-Korepin model
F. Colomo, A. Koubek, G. Mussardo
Phys. Lett. B 274 (1992) 367 [abs]
arXiv:hep-th/9203003 [abs, ps, pdf]


- On the S-matrix of the sub-leading magnetic deformation of the tricritical Ising model in 2 dimensions
F. Colomo, A. Koubek, G. Mussardo
Int. J. Mod. Phys. A 7 (1992) 5281 [abs]
arXiv:hep-th/9108024 [abs, ps, pdf]


- Wigner theory of the Nambu string: II) the closed string
F. Colomo, L. Lusanna
Int. J. Mod. Phys. A 7 (1992) 4107 [abs]
local file [pdf]


- Wigner theory of the Nambu string: I) the open string
F. Colomo, L. Lusanna
Int. J. Mod. Phys. A 7 (1992) 1705 [abs]
local file [pdf]


- Classical canonical observables of the Nambu string
F. Colomo, G.Longhi, L. Lusanna
Mod. Phys. Lett. A 5 (1990) 17 [abs]
local file [pdf]


- Classical solutions of the many-time functional equations of motion of the Nambu string
F. Colomo, G. Longhi, L. Lusanna
Int. J. Mod. Phys. A 5 (1990) 3347 [abs]
local file [pdf]


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