V. Acary and B. Brogliato, Numerical methods for nonsmooth dynamical systems: applications in mechanics and electronics, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00423530

U. Ayesta, M. Erausquin, M. Jonckheere, and I. Verloop, Scheduling in a random environment: stability and asymptotic optimality Arxiv preprint arXiv:1101, 2011.

M. Benaim, J. Hofbauer, and S. Sorin, Stochastic Approximations and Differential Inclusions, SIAM Journal on Control and Optimization, vol.44, issue.1, pp.328-348, 2005.
DOI : 10.1137/S0363012904439301

URL : https://hal.archives-ouvertes.fr/hal-00242990

M. Benaim and J. Boudec, A Class Of Mean Field Interaction Models for Computer and Communication Systems. Performance Evaluation, pp.11-12823, 2008.

M. Benaim and J. Boudec, On mean field convergence and stationary regime. Arxiv preprint arXiv:1111, 2011.

G. Bianchi, Performance analysis of the IEEE 802.11 distributed coordination function, IEEE Journal on Selected Areas in Communications, vol.18, issue.3, pp.535-547, 2000.
DOI : 10.1109/49.840210

C. Bordenave, D. Mcdonald, and A. , Proutì ere. Random multi-access algorithms: A mean field analysis, Proceedings of Allerton conference. Citeseer, 2005.

C. Bordenave, D. Mcdonald, and A. Proutì-ere, A particle system in interaction with a rapidly varying environment: Mean field limits and applications, Networks and Heterogeneous Media, vol.5, issue.1, pp.31-62, 2010.
DOI : 10.3934/nhm.2010.5.31

URL : https://hal.archives-ouvertes.fr/hal-00629339

S. Borst, M. Jonckheere, and L. Leskelä, Stability of parallel queueing systems with coupled service rates. Discrete Event Dynamic Systems, pp.447-472, 2008.

F. Bouchut and F. James, One-dimensional transport equations with discontinuous coefficients, Nonlinear Analysis: Theory, Methods & Applications, vol.32, issue.7, p.891, 1998.
DOI : 10.1016/S0362-546X(97)00536-1

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.1728

M. Bramson, Stability of queueing networks, Probability Surveys, vol.5, issue.0, pp.169-345, 2008.
DOI : 10.1214/08-PS137

J. G. Dai, On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models, The Annals of Applied Probability, vol.5, issue.1, pp.49-77, 1995.
DOI : 10.1214/aoap/1177004828

R. Darling and J. R. Norris, Differential equation approximations for Markov chains. Probability surveys, pp.37-79, 2008.
DOI : 10.1214/07-ps121

URL : http://arxiv.org/abs/0710.3269

J. Dieudonne, Foundations of modern analysis, 1960.

R. Durrett, Probability: Theory and Examples, 1996.
DOI : 10.1017/CBO9780511779398

M. Faure and G. Roth, Stochastic Approximations of Set-Valued Dynamical Systems: Convergence with Positive Probability to an Attractor, Mathematics of Operations Research, vol.35, issue.3, 2009.
DOI : 10.1287/moor.1100.0455

URL : https://hal.archives-ouvertes.fr/hal-00383277

G. Fort, S. Meyn, E. Moulines, and P. Priouret, The ODE method for stability of skip-free Markov chains with applications to MCMC, The Annals of Applied Probability, vol.18, issue.2, pp.664-707, 2008.
DOI : 10.1214/07-AAP471

URL : https://hal.archives-ouvertes.fr/hal-00279025

N. Gast and B. Gaujal, A mean field model of work stealing in large-scale systems, ACM SIGMETRICS Performance Evaluation Review, vol.38, issue.1, pp.13-24, 2010.
DOI : 10.1145/1811099.1811042

URL : https://hal.archives-ouvertes.fr/hal-00788862

N. Gast, B. Gaujal, and J. Boudec, Mean Field for Markov Decision Processes: From Discrete to Continuous Optimization, IEEE Transactions on Automatic Control, vol.57, issue.9, 2010.
DOI : 10.1109/TAC.2012.2186176

URL : https://hal.archives-ouvertes.fr/hal-00473005

C. Graham, Chaoticity on path space for a queueing network with selection of the shortest queue among several, Journal of Applied Probability, vol.28, issue.01, pp.198-211, 2000.
DOI : 10.1007/BF01199263

M. Jonckheere and S. Shneer, Stability of multi-dimensional birth-and-death processes with state-dependent 0-homogeneous jumps. EURANDOM report, 2009.

M. Kunze, Non-smooth dynamical systems, 2000.
DOI : 10.1007/BFb0103843

T. G. Kurtz, Approximation of population processes, Society for Industrial Mathematics, 1981.
DOI : 10.1137/1.9781611970333

F. Lempio, Euler's method revisited, Proceedings of the Steklov Institute of Mathematics, pp.429-449, 1995.

R. Mané and S. Levy, Ergodic theory and differentiable dynamics, 1987.

M. Mitzenmacher, Studying Balanced Allocations with Differential Equations, Combinatorics, Probability and Computing, vol.8, issue.5, pp.473-482, 1999.
DOI : 10.1017/S0963548399003946

W. Rudin, Functional Analysis. McGraw-Hill Science, 1991.

W. J. Stewart, Numerical Solution of Markov Chains., Biometrics, vol.49, issue.1, 1991.
DOI : 10.2307/2532635

A. L. Stolyar, On the stability of multiclass queueing networks: a relaxed sufficient condition via limiting fluid processes. Markov Processes and Related Fields, pp.491-512, 1995.

A. S. Sznitman, Topics in propagation of chaos. Ecole d'Eté de Probabilités de Saint-Flour XIX?1989, pp.165-251, 1991.

J. N. Tsitsiklis and K. Xu, On the power of (even a little) centralization in distributed processing, Proceedings of the ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems, SIGMETRICS '11, 2011.
DOI : 10.1145/1993744.1993759

J. N. Tsitsiklis and K. Xu, On the power of (even a little) centralization in distributed processing, Proceedings of the ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems, SIGMETRICS '11, 2011.
DOI : 10.1145/1993744.1993759

P. Van-de-ven, S. Borst, and S. Shneer, Instability of MaxWeight Scheduling Algorithms, IEEE INFOCOM 2009, The 28th Conference on Computer Communications, pp.1701-1709, 2009.
DOI : 10.1109/INFCOM.2009.5062089