-
1
-
-
84992274029
-
Dynamics of information exchange in endogenous social networks
-
D. Acemoglu, K. Bimpikis and A. Ozdaglar, Dynamics of information exchange in endogenous social networks, National Bureau Econ. Res. (2010) 16410, available at http://dx.doi.org/10.2139/ssrn.1682243.
-
(2010)
National Bureau Econ. Res
, pp. 16410
-
-
Acemoglu, D.1
Bimpikis, K.2
Ozdaglar, A.3
-
3
-
-
54049103732
-
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation
-
G. Ajmone Marsan, N. Bellomo and M. Egidi, Towards a mathematical theory of complex socio-economical systems by functional subsystems representation, Kinet. Relat. Models 1 (2008) 249-278.
-
(2008)
Kinet. Relat. Models
, vol.1
, pp. 249-278
-
-
Ajmone Marsan, G.1
Bellomo, N.2
Egidi, M.3
-
5
-
-
0034633749
-
Classes of small-world networks
-
L. A. N. Amaral, A. Scala, M. Barthélémy and H. E. Stanley, Classes of small-world networks, Proc. Natl. Acad. Sci. USA 97 (2000) 11149-11152.
-
(2000)
Proc. Natl. Acad. Sci. USA
, vol.97
, pp. 11149-11152
-
-
Amaral, L.A.N.1
Scala, A.2
Barthélémy, M.3
Stanley, H.E.4
-
6
-
-
78649982880
-
On the initial value problem of a class of models of the kinetic theory for active particles
-
L. Arlotti and E. De Angelis, On the initial value problem of a class of models of the kinetic theory for active particles, Appl. Math. Lett. 24 (2011) 257-263.
-
(2011)
Appl. Math. Lett
, vol.24
, pp. 257-263
-
-
Arlotti, L.1
De Angelis, E.2
-
7
-
-
80955126759
-
On a class of integro-differential equations modeling complex systems with nonlinear interactions
-
L. Arlotti, E. De Angelis, L. Fermo, M. Lachowicz and N. Bellomo, On a class of integro-differential equations modeling complex systems with nonlinear interactions, Appl. Math. Lett. 25 (2012) 490-495.
-
(2012)
Appl. Math. Lett
, vol.25
, pp. 490-495
-
-
Arlotti, L.1
De Angelis, E.2
Fermo, L.3
Lachowicz, M.4
Bellomo, N.5
-
9
-
-
84872400283
-
A phenomenological operator description of interactions between populations with applications to migration
-
F. Bagarello and F. Oliveri, A phenomenological operator description of interactions between populations with applications to migration, Math. Models Methods Appl. Sci. 23 (2013) 471.
-
(2013)
Math. Models Methods Appl. Sci
, vol.23
, pp. 471
-
-
Bagarello, F.1
Oliveri, F.2
-
10
-
-
39549102191
-
Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
-
M. Ballerini, N. Cabibbo, R. Candelier, A. Cavagna, E. Cisbani, I. Giardina, V. Lecomte, A. Orlandi, G. Parisi, A. Procaccini, M. Viale and V. Zdravkovic, Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study, Proc. Natl. Acad. Sci. USA 105 (2008) 1232- 1237.
-
(2008)
Proc. Natl. Acad. Sci. USA
, vol.105
, pp. 1232-1237
-
-
Ballerini, M.1
Cabibbo, N.2
Candelier, R.3
Cavagna, A.4
Cisbani, E.5
Giardina, I.6
Lecomte, V.7
Orlandi, A.8
Parisi, G.9
Procaccini, A.10
Viale, M.11
Zdravkovic, V.12
-
12
-
-
18744421488
-
Mean-field theory for scale-free random networks
-
A. L. Barabási, R. Albert and H. Jeong, Mean-field theory for scale-free random networks, Physica A 272 (1999) 173-187.
-
(1999)
Physica A
, vol.272
, pp. 173-187
-
-
Barabási, A.L.1
Albert, R.2
Jeong, H.3
-
13
-
-
0035185264
-
Voting for voters: A model of electoral evolution
-
S. Barbera, M. Maschler and J. Shalev, Voting for voters: A model of electoral evolution, Game. Econ. Behav. 37 (2001) 40-78.
-
(2001)
Game. Econ. Behav
, vol.37
, pp. 40-78
-
-
Barbera, S.1
Maschler, M.2
Shalev, J.3
-
15
-
-
65549106061
-
The architecture of mutualistic networks minimizes competition and increases biodiversity
-
U. Bastolla, M. A. Fortuna, A. Pascual-García, A. Ferrera, B. Luque and J. Bascompte, The architecture of mutualistic networks minimizes competition and increases biodiversity, Nature 458 (2009) 1018-1020.
-
(2009)
Nature
, vol.458
, pp. 1018-1020
-
-
Bastolla, U.1
Fortuna, M.A.2
Pascual-García, A.3
Ferrera, A.4
Luque, B.5
Bascompte, J.6
-
16
-
-
77955917869
-
Modeling the hiding-learning dynamics in large living systems
-
N. Bellomo, Modeling the hiding-learning dynamics in large living systems, Appl. Math. Lett. 23 (2010) 907-911.
-
(2010)
Appl. Math. Lett
, vol.23
, pp. 907-911
-
-
Bellomo, N.1
-
17
-
-
84857879358
-
Mathematics and complexity of multi-particle systems
-
N. Bellomo and F. Brezzi, Mathematics and complexity of multi-particle systems, Math. Models Methods Appl. Sci. 22 (2012) 1103001.
-
(2012)
Math. Models Methods Appl. Sci
, vol.22
, pp. 1103001
-
-
Bellomo, N.1
Brezzi, F.2
-
18
-
-
79952186660
-
Toward a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives
-
N. Bellomo and B. Carbonaro, Toward a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives, Phys. Life Rev. 8 (2011) 1-18.
-
(2011)
Phys. Life Rev
, vol.8
, pp. 1-18
-
-
Bellomo, N.1
Carbonaro, B.2
-
19
-
-
84890550364
-
Sources of nonlinearity in the kinetic theory of active particles with focus on the formation of political opinions
-
N. Bellomo and V. Coscia, Sources of nonlinearity in the kinetic theory of active particles with focus on the formation of political opinions, Contemp. Math. 594 (2013) 99-113.
-
(2013)
Contemp. Math
, vol.594
, pp. 99-113
-
-
Bellomo, N.1
Coscia, V.2
-
20
-
-
0001794315
-
Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition
-
N. Bellomo, B. Firmani and L. Guerri, Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition, Appl. Math. Lett. 12 (1999) 39-44.
-
(1999)
Appl. Math. Lett
, vol.12
, pp. 39-44
-
-
Bellomo, N.1
Firmani, B.2
Guerri, L.3
-
21
-
-
84880300575
-
On the dynamics of social conflicts: Looking for the black swan
-
N. Bellomo, M. A. Herrero and A. Tosin, On the dynamics of social conflicts: Looking for the Black Swan, Kinet. Relat. Models 6 (2013) 459-479.
-
(2013)
Kinet. Relat. Models
, vol.6
, pp. 459-479
-
-
Bellomo, N.1
Herrero, M.A.2
Tosin, A.3
-
22
-
-
84880254372
-
On the difficult interplay between life, "complexity", and mathematical sciences
-
N. Bellomo, D. Knopoff and J. Soler, On the difficult interplay between life, "complexity", and mathematical sciences, Math. Models Methods Appl. Sci. 23 (2013) 1861-1913.
-
(2013)
Math. Models Methods Appl. Sci
, vol.23
, pp. 1861-1913
-
-
Bellomo, N.1
Knopoff, D.2
Soler, J.3
-
24
-
-
84857834283
-
On the mathematical theory of the dynamics of swarms viewed as a complex system
-
N. Bellomo and J. Soler, On the mathematical theory of the dynamics of swarms viewed as a complex system, Math. Models Methods Appl. Sci. 22 (2012) 1140006.
-
(2012)
Math. Models Methods Appl. Sci
, vol.22
, pp. 1140006
-
-
Bellomo, N.1
Soler, J.2
-
25
-
-
80055070172
-
Towards the modeling of vehicular traffic as a complex system: A kinetic theory approach
-
A. Bellouquid, E. De Angelis and L. Fermo, Towards the modeling of vehicular traffic as a complex system: A kinetic theory approach, Math. Models Methods Appl. Sci. 22 (2012) 1140003.
-
(2012)
Math. Models Methods Appl. Sci
, vol.22
, pp. 1140003
-
-
Bellouquid, A.1
De Angelis, E.2
Fermo, L.3
-
26
-
-
84874371293
-
From the modeling of the immune hallmarks of cancer to a black swan in biology
-
A. Bellouquid, E. De Angelis and D. Knopoff, From the modeling of the immune hallmarks of cancer to a black swan in biology, Math. Models Methods Appl. Sci. 23 (2013) 949-978.
-
(2013)
Math. Models Methods Appl. Sci
, vol.23
, pp. 949-978
-
-
Bellouquid, A.1
De Angelis, E.2
Knopoff, D.3
-
27
-
-
84886952564
-
Nonlinear microscale interactions in the kinetic theory of active particles
-
A. Benfenati and V. Coscia, Nonlinear microscale interactions in the kinetic theory of active particles, Appl. Math. Lett. 26 (2013) 979-983.
-
(2013)
Appl. Math. Lett
, vol.26
, pp. 979-983
-
-
Benfenati, A.1
Coscia, V.2
-
28
-
-
44349090310
-
On the existence of limit cycles in opinion formation processes under time periodic influence of persuaders
-
M. L. Bertotti and M. Delitala, On the existence of limit cycles in opinion formation processes under time periodic influence of persuaders, Math. Models Methods Appl. Sci. 18 (2008) 913-934.
-
(2008)
Math. Models Methods Appl. Sci
, vol.18
, pp. 913-934
-
-
Bertotti, M.L.1
Delitala, M.2
-
29
-
-
44349178470
-
On a discrete generalized kinetic approach for modelling persuader's influence in opinion formation processes
-
M. L. Bertotti and M. Delitala, On a discrete generalized kinetic approach for modelling persuader's influence in opinion formation processes, Math. Comput. Model. 48 (2008) 1107-1121.
-
(2008)
Math. Comput. Model
, vol.48
, pp. 1107-1121
-
-
Bertotti, M.L.1
Delitala, M.2
-
33
-
-
77957174152
-
From empirical data to inter-individual interactions: Unveiling the rules of collective animal behavior
-
A. Cavagna, A. Cimarelli, I. Giardina, G. Parisi, R. Santagati, F. Stefanini and R. Tavarone, From empirical data to inter-individual interactions: Unveiling the rules of collective animal behavior, Math. Models Methods Appl. Sci. 20 (2010) 1491-1510.
-
(2010)
Math. Models Methods Appl. Sci
, vol.20
, pp. 1491-1510
-
-
Cavagna, A.1
Cimarelli, A.2
Giardina, I.3
Parisi, G.4
Santagati, R.5
Stefanini, F.6
Tavarone, R.7
-
34
-
-
77955363169
-
Scale-free correlation in starling flocks
-
A. Cavagna, A. Cimarelli, I. Giardina, G. Parisi, R. Santagati, F. Stefanini and M. Viale, Scale-free correlation in starling flocks, Proc. Natl. Acad. Sci. USA 107 (2010) 11865-11870.
-
(2010)
Proc. Natl. Acad. Sci. USA
, vol.107
, pp. 11865-11870
-
-
Cavagna, A.1
Cimarelli, A.2
Giardina, I.3
Parisi, G.4
Santagati, R.5
Stefanini, F.6
Viale, M.7
-
35
-
-
33847263474
-
A theory of framing and opinion formation in competitive elite environments
-
D. Chong and J. N. Druckman, A theory of framing and opinion formation in competitive elite environments, J. Commun. 57 (2007) 99-118.
-
(2007)
J. Commun
, vol.57
, pp. 99-118
-
-
Chong, D.1
Druckman, J.N.2
-
36
-
-
80055069629
-
On the mathematical theory of living systems i: Complexity analysis and representation
-
V. Coscia, On the mathematical theory of living systems I: Complexity analysis and representation, Math. Comput. Model. 54 (2011) 1919-1929.
-
(2011)
Math. Comput. Model
, vol.54
, pp. 1919-1929
-
-
Coscia, V.1
-
37
-
-
80055091284
-
On the mathematical theory of living systems ii: The interplay between mathematics and system biology
-
V. Coscia, L. Fermo and N. Bellomo, On the mathematical theory of living systems II: The interplay between mathematics and system biology, Comput. Math. Appl. 62 (2011) 3902-3911.
-
(2011)
Comput. Math. Appl
, vol.62
, pp. 3902-3911
-
-
Coscia, V.1
Fermo, L.2
Bellomo, N.3
-
38
-
-
0038236455
-
Bifurcation analysis for a mean field modeling of tumor and immune system competition
-
E. De Angelis, M. Delitala, A. Marasco and A. Romano, Bifurcation analysis for a mean field modeling of tumor and immune system competition, Math. Comput. Model. 37 (2003) 1131-1142.
-
(2003)
Math. Comput. Model
, vol.37
, pp. 1131-1142
-
-
De Angelis, E.1
Delitala, M.2
Marasco, A.3
Romano, A.4
-
39
-
-
0042863218
-
Persuasion bias, social influence, and unidimensional opinions
-
P. M. DeMarzo, D. Vayanos and J. Zwiebel, Persuasion bias, social influence, and unidimensional opinions, Quart. J. Econ. 118 (2003) 909-968.
-
(2003)
Quart. J. Econ
, vol.118
, pp. 909-968
-
-
Demarzo, P.M.1
Vayanos, D.2
Zwiebel, J.3
-
40
-
-
73149092039
-
Boltzmann and fokker-planck equations modelling opinion formation in the presence of strong leaders
-
B. Düring, P. Markowich, J. F. Pietschmann and M. T. Wolfram, Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders, Proc. Roy. Soc. London A Mat. 465 (2009) 3687-3708.
-
(2009)
Proc. Roy. Soc. London A Mat
, vol.465
, pp. 3687-3708
-
-
Düring, B.1
Markowich, P.2
Pietschmann, J.F.3
Wolfram, M.T.4
-
41
-
-
84860920395
-
Hyperbolic and kinetic models for self-organized biological aggregations and movement: A brief review
-
R. Eftimie, Hyperbolic and kinetic models for self-organized biological aggregations and movement: A brief review, J. Math. Biol. 65 (2012) 35-75.
-
(2012)
J. Math. Biol
, vol.65
, pp. 35-75
-
-
Eftimie, R.1
-
43
-
-
77958484340
-
Does the media matter? a field experiment measuring the effect of newspapers on voting behavior and political opinions
-
A. Gerber, D. S. Karlan and D. Bergan, Does the media matter? A field experiment measuring the effect of newspapers on voting behavior and political opinions, Yale Economic Applications and Policy Discussion Paper (12), (2006), available at http://ssrn.com/abstract=903812.
-
(2006)
Yale Economic Applications and Policy Discussion Paper
, Issue.12
-
-
Gerber, A.1
Karlan, D.S.2
Bergan, D.3
-
45
-
-
11244350022
-
Network formation and social coordination
-
S. Goyal and F. Vega-Redondo, Network formation and social coordination, Game Econ. Behav. 50 (2005) 178-207.
-
(2005)
Game Econ. Behav
, vol.50
, pp. 178-207
-
-
Goyal, S.1
Vega-Redondo, F.2
-
46
-
-
0007193660
-
Stochastic and boltzmann-like models for behavioral changes and their relation to game theory
-
D. Helbing, Stochastic and Boltzmann-like models for behavioral changes, and their relation to game theory, Physica A 193 (1993) 241-258.
-
(1993)
Physica A
, vol.193
, pp. 241-258
-
-
Helbing, D.1
-
48
-
-
76249087075
-
Evolutionary dynamics of populations with conflicting interactions: Classification and analytical treatment considering asymmetry and power
-
D. Helbing and A. Johansson, Evolutionary dynamics of populations with conflicting interactions: Classification and analytical treatment considering asymmetry and power, Phys. Rev. E 81 (2010) 016112.
-
(2010)
Phys. Rev. e
, vol.81
, pp. 016112
-
-
Helbing, D.1
Johansson, A.2
-
49
-
-
84873887672
-
Early warning and decision support in critical situations of opinion formation within online social networks
-
Springer
-
C. Kaiser, S. Schlick and F. Bodendorf, Early warning and decision support in critical situations of opinion formation within online social networks, in Knowledge Discovery, Knowledge Engineering and Knowledge Management (Springer, 2013), pp. 107-121.
-
(2013)
Knowledge Discovery, Knowledge Engineering and Knowledge Management
, pp. 107-121
-
-
Kaiser, C.1
Schlick, S.2
Bodendorf, F.3
-
50
-
-
35448980421
-
Collective political opinion formation in nonlinear social interaction
-
S. Y. Kim, C. H. Park and K. Kim, Collective political opinion formation in nonlinear social interaction, Int. J. Mod. Phys. C 18 (2007) 1429-1434.
-
(2007)
Int. J. Mod. Phys. C
, vol.18
, pp. 1429-1434
-
-
Kim, S.Y.1
Park, C.H.2
Kim, K.3
-
51
-
-
84872384561
-
On the modeling of migration phenomena on small networks
-
D. Knopoff, On the modeling of migration phenomena on small networks, Math. Models Methods Appl. Sci. 23 (2013) 541-563.
-
(2013)
Math. Models Methods Appl. Sci
, vol.23
, pp. 541-563
-
-
Knopoff, D.1
-
53
-
-
0842309879
-
Uses and abuses of mathematics in biology
-
R. M. May, Uses and abuses of mathematics in biology, Science 303 (2004) 790-793.
-
(2004)
Science
, vol.303
, pp. 790-793
-
-
May, R.M.1
-
54
-
-
3042800550
-
80 years of watching the evolutionary scenary
-
E. Mayr, 80 years of watching the evolutionary scenary, Science 305 (2004) 46-47.
-
(2004)
Science
, vol.305
, pp. 46-47
-
-
Mayr, E.1
-
57
-
-
0842288340
-
Evolutionary dynamics of biological games
-
M. A. Nowak and K. Sigmund, Evolutionary dynamics of biological games, Science 303 (2004) 793-799.
-
(2004)
Science
, vol.303
, pp. 793-799
-
-
Nowak, M.A.1
Sigmund, K.2
-
58
-
-
33644751686
-
Evolutionary dynamics of social dilemmas in structured heterogeneous populations
-
F. C. Santos, J. M. Pacheco and T. Lenaerts, Evolutionary dynamics of social dilemmas in structured heterogeneous populations, Proc. Natl. Acad. Sci. USA 103 (2006) 3490-3494.
-
(2006)
Proc. Natl. Acad. Sci. USA
, vol.103
, pp. 3490-3494
-
-
Santos, F.C.1
Pacheco, J.M.2
Lenaerts, T.3
-
59
-
-
84857875076
-
Evolutionary dynamics of climate change under collective-risk dilemmas
-
F. C. Santos, V. Vasconcelos, M. D. Santos, P. Neves and J. M. Pacheco, Evolutionary dynamics of climate change under collective-risk dilemmas, Math. Models Methods Appl. Sci. 22 (2012) 1140004.
-
(2012)
Math. Models Methods Appl. Sci
, vol.22
, pp. 1140004
-
-
Santos, F.C.1
Vasconcelos, V.2
Santos, M.D.3
Neves, P.4
Pacheco, J.M.5
-
60
-
-
69949088984
-
Early-warning signals for critical transitions
-
M. Scheffer, J. Bascompte, W. A. Brock, V. Brovkin, S. R. Carpenter, V. Dakos, H. Held, E. H. van Nes, M. Rietkerk and G. Sugihara, Early-warning signals for critical transitions, Nature 461 (2009) 53-59.
-
(2009)
Nature
, vol.461
, pp. 53-59
-
-
Scheffer, M.1
Bascompte, J.2
Brock, W.A.3
Brovkin, V.4
Carpenter, S.R.5
Dakos, V.6
Held, H.7
Van Nes, E.H.8
Rietkerk, M.9
Sugihara, G.10
-
62
-
-
66649090621
-
Evolutionary dynamics in set structured populations
-
C. E. Tarnita, T. Antal, H. Ohtsuki and M. A. Nowak, Evolutionary dynamics in set structured populations, Proc. Natl. Acad. Sci. USA 106 (2009) 8601-8604.
-
(2009)
Proc. Natl. Acad. Sci. USA
, vol.106
, pp. 8601-8604
-
-
Tarnita, C.E.1
Antal, T.2
Ohtsuki, H.3
Nowak, M.A.4
-
63
-
-
34547461832
-
Kinetic models of opinion formation
-
G. Toscani, Kinetic models of opinion formation, Commun. Math. Sci. 4 (2006) 481- 496.
-
(2006)
Commun. Math. Sci
, vol.4
, pp. 481-496
-
-
Toscani, G.1
-
67
-
-
80053011624
-
Dual modeling of political opinion networks
-
R. Wang and Q. A. Wang, Dual modeling of political opinion networks, Phys. Rev. E 84 (2011) 036108.
-
(2011)
Phys. Rev. e
, vol.84
, pp. 036108
-
-
Wang, R.1
Wang, Q.A.2
-
68
-
-
0032482432
-
Collective dynamics of "small-world" networks
-
D. J.Watts and S. H. Strogatz, Collective dynamics of "small-world" networks, Nature 393 (1998) 440-442.
-
(1998)
Nature
, vol.393
, pp. 440-442
-
-
Watts, D.J.1
Strogatz, S.H.2
|