# Publications

114)
A Multi-Scale Sherrington-Kirkpatrick Model (in
collaboration E.Mingione) Preprint April 2018 ArXiv

113)Social
interaction effects on immigrant integration(in
collaboration with E.Agliari, A.Barra, A.Pizzoferrato
and C.Vernia)

Nature, Palgrave Communications, 4 : 55 (2018)
DOI: 10.1057/s41599-018-0097-5

112) L'insegnamento
della
matematica come vocazione? Agosto 2017
Rivista
Il Mulino Online

Vanity
Fair

111)
Forecasting the integration of immigrants. (in
collaboration
with R.Sandell and S.Seyedi) Journal of
Mathematical Sociology, Vol.41, N.2, 127–137 (2017)
ArXiv

110) La Scienza è Democratica. Rivista il Mulino Online, aprile (2017)

109)
Mean-Field Monomer-Dimer models. A review. (in
collaboration
with D.Alberici and E.Mingione) Preprint December 2016
ArXiv

108)
Inverse problem for the mean-field monomer-dimer model
with attractive interaction. (in
collaboration with R.Luzi and C.Vernia) Journal
of Physics A: Math. Theor. Vol 50, 205002 (2017)
ArXiv

107)
Aggregation models on hypergraphs. (in
collaboration with D.Alberici, E.Mingione and M.Molari)

Annals of Physics, Volume 376, Pages 412–424, January
(2017) Audioslides
of the authors' presentation.

ArXiv

106) Matematica
e Democrazia "Mathematics and Mathematics
Education" Pag. 181-192, M.Iori Eds., Pitagora Editrice,
Bologna, (2016)

ISBN 88-371-1927-5

105)
Non-Gaussian fluctuations in monomer-dimer models(in
collaboration with D.Alberici and E.Mingione)

Europhysics Letters, Volume 214, Page 20006-20010
(2016).

104) Chi fa il Professore si vergogna. Rivista il Mulino Online, gennaio (2016)

103)
Limit theorems for monomer-dimer mean-field models with
attractive potential. (in collaboration
with D.Alberici, M.Fedele and E.Mingione)

Communications in Mathematical Physics, V. 346, N. 3,
781-799 (2016)

DOI: 10.1007/s00220-015-2543-1 ArXiv

102)How
immigrant
integration unfolds (in collaboration with
R.Sandell)

Elcano Royal Institute for International and Strategic
Studies, ARI 17 (2016)

101)How
integrated are immigrants? (in collaboration
with R.Sandell)

Demographic Research, V. 33 - N. 46, 1271-1280 (2015)
DOI: 10.4054/DemRes.2015.33.46

100)Enhancing
participation to health screening campaigns by group
interactions(in collaboration with R.Burioni,
M.Fedele, C.Vernia and A.Vezzani)

Nature, Scientific Reports, 5 : 9904 (2015)
DOI: 10.1038/srep09904

99)
**Educazione matematica e civica** Il Sole
24 Ore, October 5th (2014)

98)
A mean-field monomer-dimer model with random monomer
activities. Exact solution and rigorous results. (in
collaboration with D.Alberici and E.Mingione)

Journal of Statistical Physics, Volume 160, Issue 6, pp
1721-1732 (2015)

DOI: 10.1007/s10955-015-1306-x ArXiv

97) A
new dimension for democracy: egalitarianism in the rank
aggregation problem (in collaboration with
E.Panizzi, F.Ricci-Tersenghi and A.Sîrbu)

Quality and Quantity, Volume 50, Issue 3, pp 1185-1200
(2015)

DOI: 10.1007/s11135-015-0197-x ArXiv

96)
The lack of probability culture in Italy. Toward an
international comparative research program. (in
collaboration with C.Riga)

Quality and Quantity, Volume 49, Issue 6, pp 2325-2330
(2015)

DOI: 10.1007/s11135-014-0112-x

95)
A stochastic approach for quantifying immigrant
integration: the Spanish test case (in
collaboration with E.Agliari, A.Barra, R.Sandell and
C.Vernia)

New Journal of Physics, Vol. 16, 103034 (2014)

DOI:10.1088/1367-2630/16/10/103034ArXiv

94) Nuovi poteri Culture: Rivista il Mulino Online, 16 Lug. (2014)

93) Multi-species mean-field spin-glasses.
Rigorous results(in collaboration with
A.Barra, E.Mingione and D.Tantari)

Annales Henri Poincare, Volume 16, Issue 3, pp 691-708
(2014)

DOI: 10.1007/s00023-014-0341-5ArXiv

92)Solution
of the monomer-dimer model on locally tree-like graphs.
Rigorous results(in collaboration with
D.Alberici)

Communications in Mathematical Physics, Volume 331,
Issue 3 (2014), Page 975-1003, DOI:
10.1007/s00220-014-2080-3
ArXiv

91)
A mean-field monomer-dimer model with attractive
interaction. Exact solution and rigorous results(in
collaboration
with D.Alberici and E.Mingione)

Journal of Mathematical Physics, Vol. 55, 063301, 1-27,
(2014) ArXiv

90) The
exact solution of a mean-field monomer-dimer model with
attractive potential(in collaboration with
D.Alberici and E.Mingione)

Europhysics Letters, Volume 106, Page 10001-10005
(2014).

89)An
analysis of a large dataset on immigrant integration in
Spain. The Statistical Mechanics perspective on Social
Action(in collaboration with A.Barra,
R.Sandell and C.Vernia)

Nature, Scientific Reports, 4 : 4174 (2014)
DOI: 10.1038/srep04174 ArXiv

88) Insegnare la Probabilità. Come (?) e perché (!) "La didattica della matematica come chiave di lettura delle situazioni d'aula" Pag. 9-13, B.D'Amore, S.Sbaragli Eds., Pitagora Editrice, Bologna, (2013)

87) Algoritmi e stregoni Culture: Rivista il Mulino Online, 13 Dic. (2013)

86) Dmitry Panchenko: The Sherrington-Kirkpatrick Model Journal of Statistical Physics: Volume 153, Issue 3, Page 551-552, (2013)

85) Antiferromagnetic
Potts
model on the Erdos-Renyi random graph (in
collaboration with S.Dommers, C.Giardina, S.Starr)

Communications in Mathematical Physics, Volume 323,
Issue 2, pp 517-554, (2013) ArXiv

84) Complexity & Interaction: Blurring Borders between Physical, Computational, and Social Systems (in collaboration with A.Omicini) Lecture Notes in Computer Science. V. 8083, pp 1-10, (2013)

83)Interaction
Flip Identities for non Centered Spin Glasses(in
collaboration with C.Giardina and C.Giberti)

Journal of
Mathematical Physics, Volume 54, 73301, (2013)

ArXiv

82)Factorization
properties in d-dimensional spin glasses. Rigorous
results and some perspectives(in collaboration
with E.Mingione and S.Starr)

Journal of
Statistical Physics, Volume 151, Issue 5, 809-829 (2013)

ArXiv

81) Inverse
problem robustness for multi-species mean field spin
models (in collaboration with M.Fedele and
C.Vernia)

Journal of Physics A:
Math. Theor. Vol 46, 065001 (2013)

ArXiv

80) Stochastic
Stability
and the Spin Glass Phase. The State of the Art for Mean
Field and Finite Dimensional Models XVIIth
ICMP, World Scientific, (2012) ArXiv

79) Predicibilità e prevenzione nei grandi rischi Identità Italiana: Rivista il Mulino Online, 2 Nov. (2012)

78) PERSPECTIVES ON SPIN GLASSESPierluigi Contucci and Cristian Giardina, Cambridge University Press, (2012)

77) Effective interactions in group competition with strategic diffusive dynamics (in collaboration with E. Agliari, A. Barra, R. Burioni, F. Camboni)Intellectual Archive Bulletin 09/12 ISSN 1929-1329 (2012)

76) Cultura
scientifica e comportamento economico: quanto ci costa
il gioco d'azzardo? Socialnews, April, 2012

Open Source

75) Structural
spin-glass identities from a stability property: an
explicit derivation(in collaboration with
C.Giardina and C.Giberti)
RIMS Kôkyûroku, Vol. 1805,
37-50, August (2012)

Lecture Notes of the Research
Institute for Mathematical Sciences, Kyoto University.

74) On
the equivalence of Hopfield Networks and Restricted
Boltzmann Machines (in collaboration with
A.Barra, A.Bernacchia and E.Santucci)

Neural Networks, Volume 34, October 2012, Pages 1–9,
October (2012)ArXiv

73) Cultura
Scientifica e Società Mathematics and its
didactis, forty years of commitment.

Piatgora Editrice Bologna, 40-44, (2011).

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. 12, 63-91 (2000). ArXiv

9) Pat
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).