Publications
76) Structural
spin-glass identities from a stability
property: an explicit derivation(in
collaboration with C.Giardina and C.Giberti) Preprint,
Feb (2012) To
appear in: RIMS Kôkyûroku Bessatsu, Lecture Notes of the
Research Institute for Mathematical Sciences , Kyoto
University.
75) Antiferromagnetic
Potts
model on the Erdos-Renyi random graph (in
collaboration with S.Dommers, C.Giardina, S.Starr)
Preprint, June (2011) ArXiv
74) On the equivalence of Hopfield Networks and Restricted Boltzmann Machines (in collaboration with A.Barra, A.Bernacchia and E.Santucci) Preprint, May (2011) ArXiv
73) Cultura
Scientifica e Società Mathematics and its
didactis, forty years of commitment.
Piatgora Editrice Bologna, 40-44, (2001).
In occasion of the 65 years of Bruno D'Amore.
72) Stability
of the Spin Glass Phase under Perturbations (in
collaboration with C.Giardinà and C.Giberti)
Europhysics Letters, Vol. 96, N. 1,
17003-17006, (2011)ArXiv
71)Scaling
Limits
for
Multispecies
Statistical Mechanics Mean-Field Models (in
collaboration with M. Fedele)
Journal of Statistical Physics, Vol. 144, N. 6,
1186-1205, (2011)
ArXiv
70) Ecco il sistema per vincere al Superenalotto Vanity Fair, March 2th (2011)
69) Interface
Energy in the Edwards-Anderson Model (in
collaboration with C.Giardina, C.Giberti, G.Parisi and
C.Vernia)
Journal of Statistical Physics, Vol. 142, N.
1, 1-10, (2010) ArXiv
68) New
perspectives
in the equilibrium statistical mechanics approach to
social and economic sciences (in
collaboration with E.Agliari, A.Barra, R.Burioni)
Mathematical Modeling of Collective Behavior in
Socio-Economic and Life Sciences, 137-174 (2010),
Birkhauser. ArXiv
67) Toward
a quantitative approach to migrants integration (in
collaboration
with A.Barra)
Europhysics Letters, Vol. 89, N. 6, 68001-68007, (2010)
ArXiv
66) Modelling
Complex Systems with Statistical Mechanics: The
Computational Approach (in collaboration with
C.Giardina, C.Giberti, C.Vernia)
ERCIM News, N. 81, 24-25, April (2010) Open
Source
65) A
Diffusive Strategic Dynamics for Social Systems (in
collaboration with E.Agliari and R.Burioni)
Journal of Statistical Physics, Volume 139, Number 3, p.
478-491, (2010) ArXiv
64) Tackling
climate
change
through
energy
efficiency:
mathematical
models
to
offer
evidence-based
recommendation for public policy (in
collaboration with F.Gallo, A.Coutts and I.Gallo)
Applications of Mathematics in Models, Artificial Neural
Networks and Arts Capecchi, V.; Buscema, M.; Contucci,
P.; D'Amore, B. (Eds.) Springer, (2010) ArXiv
63) Equilibria
of
culture contat derived from ingroup and outgroup
attitudes (in collaboration with I. Gallo and
S. Ghirlanda)
Applications of Mathematics in Models, Artificial Neural
Networks and Arts Capecchi, V.; Buscema, M.; Contucci,
P.; D'Amore, B. (Eds.) Springer, (2010) ArXiv
62) Correlation
Inequalities for Quantum Spin Systems with Quenched
Centered Disorder (in collaboration with Joel
L. Lebowitz)
Journal of Mathematical Physics, J. Math. Phys. 51,
23302-23311, (2010) ArXiv
61) Stochastic Stability: a Review and Some Perspectives Journal of Statistical Physics, Vol. 138, N. 1, 543-550, (2010) ArXiv
60) Stipendi,
Pensioni e Lotterie Identità Italiana:
Rivista il Mulino Online, 9 Feb. (2010)
59) Acquaintance
role for decision making and exchanges in social
networks (in collaboration with E.Agliari,
A.Barra, R.Burioni)
Dynamics of socio-economic systems, Vol. 2, N. 2, 1-9,
(2009) ArXiv
58) Dilution
Robustness for Mean Field Ferromagnets (in
collaboration with A.Barra and F.Camboni)
Journal of Statistical Mechanics, Issue 3, 1-20, (2009)
ArXiv
57) Il Metodo Sperimentale in Matematica "Pratiche Matematiche e Didattiche in Aula" Pag. 183-186 B.D'Amore, S.Sbaragli Eds., Pitagora Editrice, Bologna, (2009)
56) Spin
Glass Identities and the Nishimori Line (in
collaboration with C.Giardina and H.Nishimori)
Progress in Probability, Vol. 62, 103-121, (2009)
ArXiv
55) Detti e Contraddetti sulla Ruota di Venezia Alcune riflessioni sulle lotterie. Rivista Il Mulino, N. 6, 921-929, (2009)
54) Parameter
Evaluation
of a Simple Mean-Field Model of Social Interaction (in
collaboration with I.Gallo and A.Barra)
Mathematical Models and Methods in Applied Science, Vol.
19, 1427-1439, (2009) ArXiv
53) Mathematics
for
Economics: A Statistical Mechanics Perspective (in
collaboration
with F.Romiti)
ERCIM News, N. 78, 36-37, July (2009) Open
Source
52) On the structure
of correlations in the three dimensional spin glasses
(in collaboration with C.Giardina, C.Giberti,
G.Parisi and C.Vernia)
Physical Review Letters, Vol. 103, 017201 (2009)
ArXiv
51) Interaction-Flip
Identities in Spin Glasses (in collaboration
with C.Giardina and C.Giberti)
Journal of Statistical Physics: Volume 135, Issue 5,
1181-1199 (2009) ArXiv
50) Thermodynamic
Limit for Spin Glasses. Beyond the Annealed Bound (in
collaboration with S.Starr)
Journal of Statistical Physics: Volume 135, Issue 5,
1159-1170 (2009) ArXiv
49) Statistical
Mechanics
on
Random
Structures
—
Special
Issue
of
Journal
of Mathematical Physics (Editor with
C.Giardina)
Journal of Mathematical Physics, Vol. 49, N. 12 (2008)
Available
to subscribers
48) PROBABILITÀ ELEMENTARE — Teoria ed esperimenti Con CD-ROM Pierluigi Contucci, Stefano Isola Zanichelli, 2008
47) Lack
of monotonicity in spin glass correlation functions
(in collaboration with F.Unguendoli and C.Vernia)
Journal of Physcs A: Math. Theor. Vol. 41 (2008) 385001.
ArXiv
46) Correlation
Inequalities
for Spin Glass in one Dimension (in
collaboration with F.Unguendoli)
Rendiconti Lincei, Matematica e Applicazioni, Vol. 19,
Issue 2, 141-147, (2008) ArXiv
45) Bipartite
Mean Field Spin Systems. Existence and Solution (in
collaboration with I. Gallo)
Math. Phys. Elec. Jou. Vol 14, N.1, 1-22 (2008) ArXiv
44) Answer
to the Comment on "Ultrametricity in the
Edwards-Anderson Model" (in collaboration
with C.Giardina, C.Giberti, G. Parisi, C. Vernia)
Physical Review Letters, Vol. 100, 159702 (2008)
ArXiv
43) Mathematics
and Social Sciences: A Statistical Mechanics Approach to
Immigration (in collaboration with
C.Giardina)
ERCIM News, N. 73, 34-35, April (2008) Open
Source
42) Phase
transitions in social sciences: two-populations mean
field theory (in collaboration with I. Gallo
and G. Menconi)
Int. Jou. Mod. Phys. B, Vol. 22, N. 14, 1-14 (2008)
ArXiv
41) How
Can Mathematics Contribute to Social Sciences — Special
Issue of Quality and Quantity (Editor with
S.Graffi)
Quality and Quantity, Vol. 41, 531 (2007) Available
to subscribers
40) Cortona
Special Issue of Journal of Statistical Physics (Editor
with S.Graffi and J.Lebowitz)
Journal of Statistical Physics, 126, Numbers 4/5,
February/March (2007) Available
to subscribers
39) The
Ghirlanda-Guerra Identities (in collaboration
with C.Giardina)
Journal of Statistical Physics, Vol 126, N. 4/5,
917-931, (2007) ArXiv
38) Modeling
Society with Statistical Mechanics: an Application to
Cultural Contact and Immigration (in
collaboration with S.Ghirlanda)
Quality and Quantity, Vol. 41, 569-578 (2007) ArXiv
37) Ultrametricity
in the Edwards-Anderson Model (in
collaboration with C.Giardina, C.Giberti, G. Parisi, C.
Vernia)
Physical Review Letters, Vol. 99, 057206, (2007)
ArXiv
36) Correlation
Inequalities
for Spin Glasses (in collaboration with Joel
L. Lebowitz)
Annales Henri Poincare, Vol. 8, N.8, 1461-1467, (2007)
ArXiv
35) Comment
on "Both site and link overlap are non trivial in
3-dimensional Ising spin glasses" (in
collaboration with C.Giardina)
November (2006)
Arxiv
34) Overlap
Equivalence in the Edwards-Anderson Model (in
collaboration with C.Giardina, C.Giberti, C. Vernia)
Physical Review Letters, Vol 96, 217204 (2006) ArXiv
33) Surface
Terms
on
the
Nishimori
Line
of
the
Gaussian
Edwards-Anderson
Model (in collaboration with S.Morita,
H.Nishimori)
Journal of Statistical Physics, Vol. 122, N. 2, 303-312,
(2006) ArXiv
32) Spin-Glass
Stochastic Stability: a Rigorous Proof (in
collaboration with C.Giardina)
Annales Henri Poincare, Vol. 6, N. 5, 915-923, (2005)
ArXiv
31) Factorization
Properties in the 3D Edwards-Anderson Model (in
collaboration with C.Giardina)
Physical Review B, 72, 14456, (2005) ArXiv
30) Path
Integral Representations for the Spin-Pinned quantum XXZ
Chain (in collaboration with O.Bolina and
B.Nachtergaele)
Markov Processes and Related Fields, Vol 11, 211-221
(2005) ArXiv
29) Finding
Minima in Complex Landscapes: Annealed, Greedy and
Reluctant Algorithms (in collaboration with
C.Giardina, C.Giberti, C. Vernia)
Mathematical Models and Methods in Applied Science, Vol.
15, No. 9, 1349-1369 (2005) ArXiv
28) Griffiths
Inequalities in the Nishimori Line (in
collaboration with S.Morita and H.Nishimori)
Progress of Theoretical Physics, Supp. No. 157, 73-76,
(2005) ArXiv
27) Interpolating
Greedy and Reluctant Algorithms (in
collaboration with C.Giardina, C.Giberti, F.Unguendoli,
C. Vernia)
Optimization Methods and Software, Vol. 20, Nos. 4-5,
1-6 (2005) ArXiv
26) Local
Order at Arbitrary Distances in Finite-Dimensional
Spin-Glass Models (in collaboration with
F.Unguendoli)
Rendiconti di Matematica dell'Accademia dei Lincei, Ser.
9, Vol. 16, 197-202, (2005) ArXiv
25) Stochastically
Stable Quenched Measures (in collaboration
with A.Bianchi and A.Knauf)
Journal of Statistical Physics, Vol. 117, Nos. 5/6,
831-844, (2004) ArXiv
24) On
the Surface-Pressure for the Edwards-Anderson Model
(in collaboration with S.Graffi)
Comm. Math. Phys., Vol. 248, N.1, 207-216, (2004)
ArXiv
23) Griffiths
Inequalities for the Gaussian Spin Glass (in
collaboration with S.Morita and H.Nishimori)
Journal of Physics A: Mathematical and General, Vol 37,
L203-L209, (2004) ArXiv
22) Thermodynamic
Limit for Finite Dimensional Classical and Quantum
Disordered Systems (in collaboration with C.
Giardina and J. Pule)
Reviews in Mathematical Physics, Vol. 16, N. 5, 629-637,
(2004)
21) Monotonicity
and Thermodynamic Limit for Short Range Disordered
Models (in collaboration with S.Graffi)
Journal of Statistical Physics, Vol. 115, Nos. 1/2,
581-589, (2004) ArXiv
20) Convex
Replica Simmetry Breaking from Positivity and
Thermodynamic Limit (in collaboration with
S.Graffi)
Int. Jou. Mod. Phys. B, Vol. 18, Nos. 4-5, 585-591
(2004) ArXiv
19) Thermodynamic
Limit for Mean Field Spin Models (in
collaboration with A.Bianchi, C.Giardina)
Math. Phys. El. Jour., Vol 9, N.6, 1-15 (2003) ArXiv
18) Optimization
Strategies in Complex Systems (in
collaboration with L.Bussolari, C.Giardina, C.Giberti,
F.Unguendoli, C. Vernia)
Science and Supercomputing, Cineca Report, 386-390,
(2003) ArXiv
17) Replica Equivalence in the Edwards-Anderson Model Journal of Physics A: Mathematical and General, Vol.36, 10961-10966, (2003) ArXiv
16) Energy-Decreasing
Dynamics in Mean-Field Spin Models (in
collaboration with L.Bussolari, M. Degli Esposti, C.
Giardina')
Journal of Physics A: Mathematical and General, Vol. 36,
2413-2421, (2003) ArXiv
15) Thermodynamical
Limit for Correlated Gaussian Random Energy Models (in
collaboration with M.Degli Esposti, C.Giardina',
S.Graffi)
Commun. in Math. Phys. 236, 55-63, (2003) ArXiv
14) Toward a classification theorem for stochastically stable measures Markov Processes and Related Fields, Vol 9, N. 2, 167-176, (2002) ArXiv
13) The
Ferromagnetic Heisenberg XXZ chain in a pinning field
(in collaboration with B.Nachtergaele, W.Spitzer)
Phys. Rev. B, 66, 64429-64442, (2002) ArXiv
12) Mean
field behaviour of spin systems with orthogonal
interaction matrix (in collaboration with
S.Graffi, S. Isola)
Journal of Statistical Physics, Vol. 106, N. 5/6,
895-914 (2002) ArXiv
11) A
continuum approximation for the excitations of the
(1,1,...,1) interface in the quantum Heisenberg model
(in collaboration with O.Bolina , B.Nachtergaele and
S.Starr)
Electron. J. Diff. Eqns., N. 04, 1-10, (2000). ArXiv
10) Finite-volume
excitations
of
the
111
interface
in
the
quantum
XXZ
model (in collaboration with O.Bolina ,
B.Nachtergaele and S.Starr)
Commun. Math. Phys. 212, 63-91 (2000). ArXiv
9) Path
Integral Representation for Interface States of the
Anisotropic Heisenberg Model (in
collaboration with O.Bolina and B.Nachtergaele)
Rev. in Math. Phys., Vol. 12, No. 10, 1325-1344 (2000).
ArXiv
8) A
Fully Magnetizing Phase Transition (in
collaboration with P.Kleban and A.Knauf)
Journal of Statistical Physics, Vol. 97, N. 3/4,
523-539, (1999). ArXiv
7) On
the
Stability
of
the
Quenched
state
in
Mean
Field
Spin Glass Models (in collaboration with M.
Aizenman)
Journal of Statistical Physics, Vol. 92, N. 5/6,
765-783, (1998). ArXiv
6) Polynomial
Invariants for Trees. A statistical Mechanics
Classification Figures
(in collaboration with R. Conti and C. Falcolini)
Discrete Applied Mathematics, N. 81, 225-237, (1997).
5) The
Phase Transition of the Number-Theoretical Spin Chain
(in collaboration with A. Knauf)
Forum Math. N. 9, 547-567, (1997). Abstract
4) The
Low Activity Phase of Some Dirichlet Series (in
collaboration with A. Knauf)
Journal of Mathematical Physics, Vo. 37, N.11,
5458-5475, (1996). Abstract
3) An analyticity bound for two-dimensional Ising model at low temperature Journal of Statistical Physics, Vol 82, N. 5/6, 1647-1657, (1996).
2) On the Strict Inequality Between Quenched and Annealed Ising Spin Glass Letters in Mathematical Physics, N. 27, 143-147, (1993).
1) Some Properties of Mean Field Solutions in a Disordered Ising Model Il Nuovo Cimento, V. 107 B, N. 11, 1313-1325,(1992).