J. Kleinberg, Bursty and hierarchical structure in streams, Proceedings of the eighth ACM SIGKDD international conference on Knowledge discovery and data mining , KDD '02, pp.91-101, 2002.
DOI : 10.1145/775047.775061

X. Wang, C. Zhai, and R. S. Hu, Mining correlated bursty topic patterns from coordinated text streams, Proceedings of the 13th ACM SIGKDD international conference on Knowledge discovery and data mining , KDD '07, 2007.
DOI : 10.1145/1281192.1281276
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.572.508

M. Cataldi, L. D. Caro, and C. Schifanella, Emerging topic detection on Twitter based on temporal and social terms evaluation, Proceedings of the Tenth International Workshop on Multimedia Data Mining, MDMKDD '10, 2010.
DOI : 10.1145/1814245.1814249

T. Takahashi, R. Tomioka, and K. Yamanishi, Discovering emerging topics in social streams via link anomaly detection, Proceeding of the 11th IEEE International Conference on Data Mining (ICDM), 2011.

J. Goldenberg, B. Libai, and E. Muller, Using complex systems analysis to advance marketing theory development, Academy of Marketing Science Review, 2001.

D. Kempe, J. Kleinberg, and E. Tardos, Maximizing the spread of influence through a social network, Proceedings of the ninth ACM SIGKDD international conference on Knowledge discovery and data mining , KDD '03, pp.137-146, 2003.
DOI : 10.1145/956750.956769

H. P. Young, The dynamics of social innovation, Proceedings of the National Academy of Sciences, vol.108, issue.Supplement_4, pp.285-306, 2011.
DOI : 10.1073/pnas.1100973108

Y. Altshuler, W. Pan, and A. Pentland, Trends Prediction Using Social Diffusion Models, Social Computing, Behavioral -Cultural Modeling and Prediction, pp.97-104, 2008.
DOI : 10.1007/978-3-642-29047-3_12

R. Crane and D. Sornette, Robust dynamic classes revealed by measuring the response function of a social system, Proceedings of the National Academy of Sciences, pp.15-649, 2008.
DOI : 10.1073/pnas.0803685105

L. Li and H. Zha, Dyadic event attribution in social networks with mixtures of hawkes processes, Proceedings of the 22nd ACM international conference on Conference on information & knowledge management, CIKM '13, 2013.
DOI : 10.1145/2505515.2505609

S. Yang and H. Zha, Mixture of mutually exciting processes for viral diffusion, Proceedings of the 30th International Conference on Machine Learning (ICML), 2013.

I. Valera, M. Gomez-rodriguez, and K. Gummadi, Modeling adoption and usage frequency of competing products and conventions in social media, Networks: From Graphs to Rich Data " at Neural Information Processing Systems Conference (NIPS), 2014.

M. Farajtabar, N. Du, M. Gomez-rodriguez, I. Valera, H. Zha et al., Shaping social activity by incentivizing users, proceedings of Neural Information Processing Systems Conference (NIPS), 2014.

M. E. Newman, The mathematics of networks, 2006.

A. G. Hawkes, Spectra of some self-exciting and mutually exciting point processes, Biometrika, vol.58, issue.1, pp.83-90, 1971.
DOI : 10.1093/biomet/58.1.83

T. Liniger, Multivariate Hawkes processes, ETH Doctoral Dissertation, issue.18403, 2009.

D. J. Daley, D. Vere, and -. , An introduction to the theory of point processes, ser. Springer series in Statistics, 2005.

Y. Ogata, On Lewis' simulation method for point processes, IEEE Transactions on Information Theory, vol.27, issue.1, pp.23-31, 1981.
DOI : 10.1109/TIT.1981.1056305

A. G. Hawkes and D. Oakes, A cluster process representation of a self-exciting process, Journal of Applied Probability, vol.33, issue.03, pp.493-503, 1974.
DOI : 10.2307/3212006

P. Brémaud and L. Massoulié, Stability of nonlinear Hawkes processes, The Annals of Probability, vol.24, issue.3, pp.1563-1588, 1996.

J. C. Pinto and T. Chahed, Modeling user and topic interactions in social networks using hawkes processes, 8th International Conference on Performance Evaluation Methodologies and Tools (VAL- UETOOLS '14), 2014.
URL : https://hal.archives-ouvertes.fr/hal-01262345

T. Jaisson and M. Rosenbaum, Limit theorems for nearly unstable Hawkes processes, The Annals of Applied Probability, vol.25, issue.2, 1310.
DOI : 10.1214/14-AAP1005
URL : https://hal.archives-ouvertes.fr/hal-01138784

J. C. Cox, J. E. Ingersoll, and S. A. Ross, A Theory of the Term Structure of Interest Rates, Econometrica, vol.53, issue.2, pp.385-407, 1985.
DOI : 10.2307/1911242

G. Espinosa and N. Touzi, Detecting the Maximum of a Scalar Diffusion with Negative Drift, SIAM Journal on Control and Optimization, vol.50, issue.5, pp.2543-2572, 2012.
DOI : 10.1137/110838352

D. F. Gleich, PageRank Beyond the Web, SIAM Review, vol.57, issue.3, 2014.
DOI : 10.1137/140976649

P. Billingsley, Convergence of probability measures, ser. Wiley series in Probability and Statistics, 2009.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, 1974.

A. Kuznetsov, Solvable markov processes, 2004.