J. A. Acebrón, L. L. Bonilla, C. J. Pérez-vicente, F. Ritort, and R. Spigler, The Kuramoto model: A simple paradigm for synchronization phenomena, Reviews of Modern Physics, vol.77, issue.1, pp.77-137, 2005.
DOI : 10.1103/RevModPhys.77.137

M. Aizenman, J. L. Lebowitz, and D. Ruelle, Some rigorous results on the Sherrington-Kirkpatrick spin glass model, Communications in Mathematical Physics, vol.108, issue.1, pp.3-20, 1987.
DOI : 10.1007/BF01217677

G. B. Arous and A. Guionnet, Large deviations for Langevin spin glass dynamics, Probability Theory and Related Fields, vol.47, issue.32, pp.455-509, 1995.
DOI : 10.1007/BF01198846

J. Baladron, D. Fasoli, O. Faugeras, and J. Touboul, Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons, The Journal of Mathematical Neuroscience, vol.2, issue.1, p.10, 2012.
DOI : 10.1186/2190-8567-2-10
URL : https://hal.archives-ouvertes.fr/inserm-00732288

N. J. Balmforth and R. Sassi, A shocking display of synchrony, Physica D: Nonlinear Phenomena, vol.143, issue.1-4, pp.21-55, 2000.
DOI : 10.1016/S0167-2789(00)00095-6

G. , B. Arous, and A. Guionnet, Symmetric Langevin spin glass dynamics, pp.1367-1422, 1997.

N. Berglund and D. Landon, Mixed-mode oscillations and interspike interval statistics in the stochastic FitzHugh???Nagumo model, Nonlinearity, vol.25, issue.8, p.2303, 2012.
DOI : 10.1088/0951-7715/25/8/2303
URL : https://hal.archives-ouvertes.fr/hal-00591089

L. Bertini, G. Giacomin, and K. Pakdaman, Dynamical Aspects of Mean Field Plane Rotators and??the??Kuramoto Model, Journal of Statistical Physics, vol.63, issue.3, pp.270-290, 2010.
DOI : 10.1007/s10955-009-9908-9
URL : https://hal.archives-ouvertes.fr/hal-00497541

L. Bertini, G. Giacomin, and C. Poquet, Synchronization and random long time dynamics for mean-field plane rotators, Probability Theory and Related Fields, vol.16, issue.3-4, pp.1-61, 2013.
DOI : 10.1007/s00440-013-0536-6
URL : https://hal.archives-ouvertes.fr/hal-01092744

P. Billingsley, Convergence of probability measures, Wiley Series in Probability and Statistics: Probability and Statistics, 1999.

P. Blanchard, M. Röckner, and F. Russo, Probabilistic representation for solutions of an irregular porous media type equation, The Annals of Probability, vol.38, issue.5, pp.1870-1900, 2010.
DOI : 10.1214/10-AOP526
URL : https://hal.archives-ouvertes.fr/hal-00279975

F. Bolley, I. Gentil, and A. Guillin, Uniform convergence to equilibrium for granular media, Archive for Rational Mechanics and Analysis, pp.1-17, 2012.

F. Bolley, A. Guillin, and C. Villani, Quantitative Concentration Inequalities for Empirical Measures on Non-compact Spaces, Probability Theory and Related Fields, vol.206, issue.1, pp.541-593, 2007.
DOI : 10.1007/s00440-006-0004-7
URL : https://hal.archives-ouvertes.fr/hal-00453883

T. Cabana and J. Touboul, Large deviations, dynamics and phase transitions in large stochastic heterogeneous neural networks, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00942206

M. J. Cáceres, J. A. Carrillo, and B. Perthame, Analysis of Nonlinear Noisy Integrate&Fire Neuron Models: blow-up and steady states, The Journal of Mathematical Neuroscience, vol.1, issue.1, p.33, 2011.
DOI : 10.1007/s11118-008-9093-5

F. Collet and P. Dai-pra, The role of disorder in the dynamics of critical fluctuations of mean field models, Electron, J. Probab, issue.26, pp.17-40, 2012.

F. Collet, P. Dai-pra, and E. Sartori, A Simple Mean Field Model for Social Interactions: Dynamics, Fluctuations, Criticality, Journal of Statistical Physics, vol.72, issue.8, pp.820-858, 2010.
DOI : 10.1007/s10955-010-9964-1

P. , D. Pra, and F. Hollander, McKean-Vlasov limit for interacting random processes in random media, J. Statist. Phys, pp.184735-772, 1996.

D. A. Dawson and J. Gärtner, Large deviations from the mckean-vlasov limit for weakly interacting diffusions, Stochastics, vol.31, issue.4, pp.247-308, 1987.
DOI : 10.1214/aop/1176994984

P. Degond, A. Frouvelle, and J. Liu, Macroscopic Limits and Phase Transition in a System of Self-propelled Particles, Journal of Nonlinear Science, vol.19, issue.3, pp.1-30, 2012.
DOI : 10.1007/s00332-012-9157-y
URL : https://hal.archives-ouvertes.fr/hal-00621766

F. Delarue, J. Inglis, S. Rubenthaler, and E. Tanré, Global solvability of a networked integrateand-fire model of McKean-Vlasov type, 2012.

F. Delarue, J. Inglis, S. Rubenthaler, and E. Tanré, Particle systems with a singular mean-field self-excitation. Application to neuronal networks, Stochastic Processes and their Applications, vol.125, issue.6, 2014.
DOI : 10.1016/j.spa.2015.01.007
URL : https://hal.archives-ouvertes.fr/hal-01001716

M. Fathi, A gradient flow approach to large deviations for diffusion processes, Journal de Math??matiques Pures et Appliqu??es, vol.106, issue.5, 2014.
DOI : 10.1016/j.matpur.2016.03.018

O. Faugeras and J. Maclaurin, A large deviation principle for networks of rate neurons with correlated synaptic weights, BMC Neuroscience, vol.14, issue.Suppl 1, 2013.
DOI : 10.1007/s004400100182
URL : https://hal.archives-ouvertes.fr/hal-00842310

B. Fernandez and S. Méléard, A Hilbertian approach for fluctuations on the McKean-Vlasov model, Stochastic Process, Appl, vol.71, pp.33-53, 1997.

J. Gärtner, On the McKean-Vlasov Limit for Interacting Diffusions, Mathematische Nachrichten, vol.44, issue.1, pp.197-248, 1988.
DOI : 10.1002/mana.19881370116

G. Giacomin, E. Luçon, and C. Poquet, Coherence Stability and Effect of Random Natural Frequencies in Populations of Coupled Oscillators, Journal of Dynamics and Differential Equations, vol.63, issue.2, pp.333-367, 2014.
DOI : 10.1007/s10884-014-9370-5
URL : https://hal.archives-ouvertes.fr/hal-01018542

G. Giacomin, K. Pakdaman, and X. Pellegrin, Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators, Nonlinearity, vol.25, issue.5, pp.25-1247, 2012.
DOI : 10.1088/0951-7715/25/5/1247
URL : https://hal.archives-ouvertes.fr/hal-00705301

D. Godinho and C. Quininao, Propagation of chaos for a sub-critical Keller-Segel model, to appear in Ann, Inst. H. Poincaré Probab. Statist, 2013.

S. Gupta, M. Potters, and S. Ruffo, One-dimensional lattice of oscillators coupled through power-law interactions: Continuum limit and dynamics of spatial Fourier modes, Physical Review E, vol.85, issue.6, p.66201, 2012.
DOI : 10.1103/PhysRevE.85.066201

M. Hitsuda and I. Mitoma, Tightness problem and stochastic evolution equation arising from fluctuation phenomena for interacting diffusions, Journal of Multivariate Analysis, vol.19, issue.2, pp.311-328, 1986.
DOI : 10.1016/0047-259X(86)90035-7

A. Joffe and M. Métivier, Weak convergence of sequences of semimartingales with applications to multitype branching processes, Advances in Applied Probability, vol.94, issue.01, pp.20-65, 1986.
DOI : 10.2307/3212499

B. Jourdain and F. Malrieu, Propagation of chaos and Poincar?? inequalities for a system of particles interacting through their cdf, The Annals of Applied Probability, vol.18, issue.5, pp.1706-1736, 2008.
DOI : 10.1214/07-AAP513

B. Jourdain and S. Méléard, Propagation of chaos and fluctuations for a moderate model with smooth initial data, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.34, issue.6, pp.727-766, 1998.
DOI : 10.1016/S0246-0203(99)80002-8

B. Jourdain and J. Reygner, Capital distribution and portfolio performance in the mean-field Atlas model, Annals of Finance, vol.123, issue.1, 2013.
DOI : 10.1007/s10436-014-0258-5
URL : https://hal.archives-ouvertes.fr/hal-00921151

Y. Kuramoto, Self-entrainment of a population of coupled non-linear oscillators, International Symposium on Mathematical Problems in Theoretical Physics, pp.420-422, 1975.
DOI : 10.1007/BFb0013365

S. Louca and F. M. Atay, Stationary States in Infinite Networks of Spiking Oscillators with Noise, SIAM Journal on Applied Dynamical Systems, vol.12, issue.1, pp.415-449, 2013.
DOI : 10.1137/120880264

E. Luçon, Quenched Limits and Fluctuations of the Empirical Measure for Plane Rotators in Random Media., Electronic Journal of Probability, vol.16, issue.0, pp.792-829, 2011.
DOI : 10.1214/EJP.v16-874

E. Luçon, Large time asymptotics for the fluctuation SPDE in the Kuramoto synchronization model, Journal of Functional Analysis, vol.266, issue.11, pp.6372-6417, 2014.
DOI : 10.1016/j.jfa.2014.03.008

E. Luçon and W. Stannat, Mean field limit for disordered diffusions with singular interactions, The Annals of Applied Probability, vol.24, issue.5, pp.1946-1993, 2014.
DOI : 10.1214/13-AAP968

F. Malrieu, Convergence to equilibrium for granular media equations and their Euler schemes, The Annals of Applied Probability, vol.13, issue.2, pp.540-560, 2003.
DOI : 10.1214/aoap/1050689593
URL : https://hal.archives-ouvertes.fr/hal-01282602

M. Maródi, F. Ovidio, and T. Vicsek, Synchronization of oscillators with long range interaction: Phase transition and anomalous finite size effects, Physical Review E, vol.66, issue.1, p.11109, 2002.
DOI : 10.1103/PhysRevE.66.011109

H. P. Mckean and . Jr, Propagation of chaos for a class of non-linear parabolic equations, Stochastic Differential Equations (Lecture Series in Differential Equations, Session 7, pp.41-57, 1967.

S. Méléard and S. Roelly, Sur les convergencesétroiteconvergences´convergencesétroite ou vague de processusàprocessus`processusà valeurs mesures, C. R. Acad. Sci. Paris Sér. I Math, pp.317-785, 1993.

K. Oelschläger, A law of large numbers for moderately interacting diffusion processes, Zeitschrift f??r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.52, issue.2, pp.279-322, 1985.
DOI : 10.1007/BF02450284

I. Omelchenko, Y. Maistrenko, P. Hövel, and E. Schöll, Loss of Coherence in Dynamical Networks: Spatial Chaos and Chimera States, Physical Review Letters, vol.106, issue.23, p.234102, 2011.
DOI : 10.1103/PhysRevLett.106.234102

L. Pastur and M. Shcherbina, Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model, Journal of Statistical Physics, vol.112, issue.1-2, pp.1-19, 1991.
DOI : 10.1007/BF01020856

S. Roelly-coppoletta, A criterion of convergence of measure???valued processes: application to measure branching processes, Stochastics, vol.8, issue.1-2, pp.43-65, 1986.
DOI : 10.1007/BF00736006

H. Sakaguchi, S. Shinomoto, and Y. Kuramoto, Phase Transitions and Their Bifurcation Analysis in a Large Population of Active Rotators with Mean-Field Coupling, Progress of Theoretical Physics, vol.79, issue.3, pp.600-607, 1988.
DOI : 10.1143/PTP.79.600

S. H. Strogatz and R. E. Mirollo, Stability of incoherence in a population of coupled oscillators, Journal of Statistical Physics, vol.60, issue.3-4, pp.613-635, 1991.
DOI : 10.1007/BF01029202

A. Sznitman, Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated, Journal of Functional Analysis, vol.56, issue.3, pp.311-336, 1984.
DOI : 10.1016/0022-1236(84)90080-6

A. Sznitman, Topics in propagation of chaos, Lecture Notes in Math, vol.22, issue.1, pp.165-251, 1991.
DOI : 10.1070/SM1974v022n01ABEH001689

G. Wainrib and J. Touboul, Topological and Dynamical Complexity of Random Neural Networks, Physical Review Letters, vol.110, issue.11, p.118101, 2013.
DOI : 10.1103/PhysRevLett.110.118101
URL : https://hal.archives-ouvertes.fr/hal-00942212