]. E. Altman, K. Avrachenkov, and J. Goseling, Distributed storage in the plane, 2014 IFIP Networking Conference, pp.1-9, 2014.
DOI : 10.1109/IFIPNetworking.2014.6857094
URL : https://hal.archives-ouvertes.fr/hal-01007677

E. Altman, B. Gaujal, and A. Hordijk, Discrete-event control of stochastic networks: Multimodularity and regularity, 2003.
DOI : 10.1007/b93837

E. Anshelevich, A. Dasgupta, J. Kleinberg, E. Tardos, T. Wexler et al., The Price of Stability for Network Design with Fair Cost Allocation, SIAM Journal on Computing, vol.38, issue.4, pp.1602-1623, 2008.
DOI : 10.1137/070680096

K. Avrachenkov, X. Bai, and J. Goseling, Optimization of caching devices with geometric constraints, Performance Evaluation, vol.113, pp.1602-03635, 2016.
DOI : 10.1016/j.peva.2017.05.001

K. Avrachenkov, J. Elias, F. Martignon, G. Neglia, and L. Petrosyan, Cooperative network design: A Nash bargaining solution approach, Computer Networks, vol.83, pp.265-279, 2015.
DOI : 10.1016/j.comnet.2015.03.017
URL : https://hal.archives-ouvertes.fr/hal-01255728

I. Baev, R. Rajaraman, and C. Swamy, Approximation Algorithms for Data Placement Problems, SIAM Journal on Computing, vol.38, issue.4, pp.1411-1429, 2008.
DOI : 10.1137/080715421

E. Bastug, M. Bennis, and M. Debbah, Cache-enabled small cell networks: Modeling and tradeoffs, 2014 11th International Symposium on Wireless Communications Systems (ISWCS), pp.649-653, 2014.
DOI : 10.1109/ISWCS.2014.6933434
URL : https://hal.archives-ouvertes.fr/hal-01094822

B. B?aszczyszyn and A. Giovanidis, Optimal geographic caching in cellular networks, 2015 IEEE International Conference on Communications (ICC), pp.3358-3363, 2015.
DOI : 10.1109/ICC.2015.7248843

S. Borst, V. Gupta, and A. Walid, Distributed Caching Algorithms for Content Distribution Networks, 2010 Proceedings IEEE INFOCOM, 2010.
DOI : 10.1109/INFCOM.2010.5461964

A. Chattopadhyay and B. B?aszczyszyn, Gibbsian On-Line Distributed Content Caching Strategy for Cellular Networks, IEEE Transactions on Wireless Communications, 2016.
DOI : 10.1109/TWC.2017.2772911
URL : https://hal.archives-ouvertes.fr/hal-01401010

W. Chai, D. He, I. Psaras, and G. Pavlou, Cache ???Less for More??? in Information-Centric Networks, Proceedings of IFIP Networking 2012, pp.27-40
DOI : 10.1007/978-3-642-30045-5_3
URL : https://hal.archives-ouvertes.fr/hal-01531117

H. Che, Y. Tung, and Z. Wang, Hierarchical Web caching systems: modeling, design and experimental results, IEEE Journal on Selected Areas in Communications, vol.20, issue.7, pp.1305-1314, 2002.
DOI : 10.1109/JSAC.2002.801752

A. Dan and D. Towsley, An approximate analysis of the LRU and FIFO buffer replacement schemes, ACM SIGMETRICS Performance Evaluation Review, vol.18, issue.1, pp.143-152, 1990.
DOI : 10.1145/98460.98525

M. Dehghan, L. Massoulie, D. Towsley, D. Menasche, and Y. C. Tay, A utility optimization approach to network cache design, IEEE INFOCOM 2016, The 35th Annual IEEE International Conference on Computer Communications, 2016.
DOI : 10.1109/INFOCOM.2016.7524445
URL : https://hal.archives-ouvertes.fr/hal-01377841

R. Durstenfeld, Algorithm 235: Random permutation, Communications of the ACM, vol.7, issue.7, p.420, 1964.
DOI : 10.1145/364520.364540

R. Fagin, Asymptotic miss ratios over independent references, Journal of Computer and System Sciences, vol.14, issue.2, pp.222-250, 1977.
DOI : 10.1016/S0022-0000(77)80014-7
URL : https://doi.org/10.1016/s0022-0000(77)80014-7

A. R. Fisher and F. Yates, Statistical tables for biological, agricultural and medical research, 1938.

N. C. Fofack, P. Nain, G. Neglia, and D. Towsley, Analysis of TTL-based cache networks
URL : https://hal.archives-ouvertes.fr/hal-00676735

N. C. Fofack, M. Dehghan, D. Towsley, M. Badov, and D. L. , On the performance of general cache networks
URL : https://hal.archives-ouvertes.fr/hal-01272503

N. C. Fofack, P. Nain, G. Neglia, and D. Towsley, Performance evaluation of hierarchical TTL-based cache networks, Computer Networks, vol.65, pp.212-231, 2014.
DOI : 10.1016/j.comnet.2014.03.006
URL : https://hal.archives-ouvertes.fr/hal-01094694

C. Fricker, P. Robert, and J. Roberts, A versatile and accurate approximation for LRU cache performance, Proceedings of ITC 2012
URL : https://hal.archives-ouvertes.fr/hal-00671937

C. Fricker, P. Robert, J. Roberts, and N. Sbihi, Impact of traffic mix on caching performance in a content-centric network, 2012 Proceedings IEEE INFOCOM Workshops
DOI : 10.1109/INFCOMW.2012.6193511
URL : https://hal.archives-ouvertes.fr/hal-00666169

M. Garetto, E. Leonardi, and V. Martina, A Unified Approach to the Performance Analysis of Caching Systems, ACM Transactions on Modeling and Performance Evaluation of Computing Systems, vol.1, issue.3, p.12, 2016.
DOI : 10.1145/2541468.2541470

A. Giovanidis and A. Avranas, Spatial multi-LRU caching for wireless networks with coverage overlaps An extended version is available at https, Proceedings of the 2016 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Science, pp.403-405, 2016.
DOI : 10.1145/2896377.2901483

N. Golrezaei, K. Shanmugam, A. G. Dimakis, A. F. Molisch, and G. Caire, FemtoCaching: Wireless video content delivery through distributed caching helpers, 2012 Proceedings IEEE INFOCOM
DOI : 10.1109/INFCOM.2012.6195469
URL : http://wides.usc.edu/assets/001/80946.pdf

N. Golrezaei, A. F. Molisch, A. G. Dimakis, and G. Caire, Femtocaching and device-to-device collaboration: A new architecture for wireless video distribution, IEEE Communications Magazine, vol.51, issue.4, pp.142-149, 2013.
DOI : 10.1109/MCOM.2013.6495773

J. Goseling, O. Simeone, and P. Popovski, Delivery latency regions in Fog-RANs with edge caching and cloud processing, 2017.

B. Hajek, Cooling Schedules for Optimal Annealing, Mathematics of Operations Research, vol.13, issue.2, pp.311-329, 1988.
DOI : 10.1287/moor.13.2.311

S. Ioannidis, L. Massoulie, and A. Chaintreau, Distributed caching over heterogeneous mobile networks, SIGMETRICS, vol.2010, pp.311-322, 2010.
DOI : 10.1145/1811039.1811075
URL : http://www.thlab.net/~lmassoul/fp185-ioannidis.pdf

W. Jiang, S. Ioannidis, L. Massoulié, and F. Picconi, Orchestrating massively distributed CDNs, Proceedings of the 8th international conference on Emerging networking experiments and technologies, CoNEXT '12, pp.133-144
DOI : 10.1145/2413176.2413193

M. A. Maddah-ali and U. Niesen, Fundamental Limits of Caching, IEEE Transactions on Information Theory, vol.60, issue.5, pp.2856-2867, 2014.
DOI : 10.1109/TIT.2014.2306938
URL : http://arxiv.org/pdf/1209.5807.pdf

M. A. Maddah-ali and U. Niesen, Cache-aided interference channels, 2015 IEEE International Symposium on Information Theory (ISIT), pp.809-813, 2015.
DOI : 10.1109/ISIT.2015.7282567
URL : http://arxiv.org/abs/1510.06121

S. Moharir, J. Ghaderi, S. Sanghavi, and S. Shakkottai, Serving content with unknown demand, ACM SIGMETRICS Performance Evaluation Review, vol.42, issue.1, pp.435-447
DOI : 10.1145/2637364.2591978

D. Monderer and L. Shapley, Potential Games, Games and Economic Behavior, vol.14, issue.1, pp.124-143, 1996.
DOI : 10.1006/game.1996.0044

G. Neglia, D. Carra, and P. Michiardi, Cache policies for linear utility maximization, IEEE INFOCOM 2017, IEEE Conference on Computer Communications
DOI : 10.1109/INFOCOM.2017.8057192
URL : https://hal.archives-ouvertes.fr/hal-01442693

Y. Nesterov and A. Nemirovskii, Interior-point polynomial algorithms in convex programming
DOI : 10.1137/1.9781611970791

M. E. Newman, Power laws, Pareto distributions and Zipf's law, Contemporary Physics, vol.27, issue.5, pp.323-351, 2005.
DOI : 10.1103/PhysRevLett.75.2055

K. Poularakis, G. Iosifidis, and L. Tassiulas, Approximation Algorithms for Mobile Data Caching in Small Cell Networks, IEEE Transactions on Communications, vol.62, issue.10, pp.3665-3677, 2014.
DOI : 10.1109/TCOMM.2014.2351796

K. Rose, Deterministic annealing for clustering, compression, classification, regression, and related optimization problems, Proceedings of the IEEE, pp.2210-2239, 1998.
DOI : 10.1109/5.726788
URL : http://www.scl.ece.ucsb.edu/html/../publications/publication_B/b98_2.pdf

E. J. Rosensweig, J. Kurose, and D. Towsley, Approximate Models for General Cache Networks, 2010 Proceedings IEEE INFOCOM, 2010.
DOI : 10.1109/INFCOM.2010.5461936
URL : http://gaia.cs.umass.edu/networks/papers/CacheModels_INFOCOM10.pdf

E. J. Rosensweig, D. S. Menasche, and J. Kurose, On the steady-state of cache networks, 2013 Proceedings IEEE INFOCOM
DOI : 10.1109/INFCOM.2013.6566874

A. Sengupta, R. Tandon, and O. Simeone, Cloud and cache-aided wireless networks: Fundamental latency trade-offs, 2016.

K. Shanmugam, N. Golrezaei, A. G. Dimakis, A. F. Molisch, and G. Caire, FemtoCaching: Wireless Content Delivery Through Distributed Caching Helpers, IEEE Transactions on Information Theory, vol.59, issue.12, pp.8402-8413, 2013.
DOI : 10.1109/TIT.2013.2281606

F. Shen, K. Hamidouche, E. Bastug, and M. Debbah, A Stackelberg Game for Incentive Proactive Caching Mechanisms in Wireless Networks, 2016 IEEE Global Communications Conference (GLOBECOM)
DOI : 10.1109/GLOCOM.2016.7841550

V. Sindhwani, S. S. Keerthi, and O. Chapelle, Deterministic annealing for semi-supervised kernel machines, Proceedings of the 23rd international conference on Machine learning , ICML '06, pp.841-848
DOI : 10.1145/1143844.1143950
URL : http://people.cs.uchicago.edu/~vikass/da.pdf

E. Tardos and T. Wexler, Network Formation Games and the Potential Function Method, Algorithmic Game Theory, pp.487-516, 2007.
DOI : 10.1017/CBO9780511800481.021
URL : http://www.cs.cornell.edu/People/eva/agtchap19.pdf

M. Yannakakis, Equilibria, fixed points, and complexity classes, Computer Science Review, vol.3, issue.2, pp.71-85, 2009.
DOI : 10.1016/j.cosrev.2009.03.004
URL : https://hal.archives-ouvertes.fr/hal-00208088

G. Zhang, Y. Li, and T. Lin, Caching in information centric networking: A survey, Computer Networks, vol.57, issue.16, pp.3128-3141, 2013.
DOI : 10.1016/j.comnet.2013.07.007

J. Zhang and P. Elia, Fundamental limits of cache-aided wireless BC: Interplay of coded-caching and CSIT feedback, IEEE Trans. on Information Theory, vol.63, issue.5, 2017.