J. Beirlant, Y. Goegebeur, J. Segers, and J. Teugels, Statistics of Extremes: Theory and Applications. Wiley Series in Probability and Statistics, 2004.

P. Brunet, C. Bouvier, and L. Neppel, Retour d'expérience sur les crues des 6 et 7 octobre 2014à montpellier-grabels (hérault, france) : caractéristiques hydro-météorologiques et contexte historique de l'épisode. Géographie physique et environnement, vol.12, pp.43-59, 2018.

S. Caires, L. De-haan, and R. L. Smith, On the determination of the temporal and spatial evolution of extreme events, 2011.

P. Cantet, J. Bacro, A. , and P. , Using a rainfall stochastic generator to detect trends in extreme rainfall, Stochastic Environmental Research and Risk Assessment, vol.25, issue.3, pp.429-441, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00585934

J. Carreau, P. Naveau, and L. Neppel, Partitioning into hazard subregions for regional peaks-over-threshold modeling of heavy precipitation, Wat. Resour. Res, vol.53, issue.5, pp.4407-4426, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01874218

R. Chailan, G. Toulemonde, and J. N. Bacro, A semiparametric method to simulate bivariate space-time extremes, Ann. Appl. Statist, vol.11, issue.3, pp.1403-1428, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01812656

S. Coles, An Introduction to Statistical Modeling of Extreme Values, Springer Series in Statistics, 2001.

R. A. Davis, C. Klüppelberg, and C. Steinkohl, Max-stable processes for modeling extremes observed in space and time, J. Korean Statist. Soc, vol.42, issue.3, pp.399-414, 2013.

R. A. Davis, C. Klüppelberg, and C. Steinkohl, Statistical inference for max-stable processes in space and time, J. R. Statist. Soc. B, vol.75, issue.5, pp.791-819, 2013.

R. A. Davis, T. Mikosch, and I. Cribben, Estimating Extremal Dependence in Univariate and Multivariate Time Series via the Extremogram, 2011.

R. De-fondeville and A. C. Davison, High-dimensional peaks-over-threshold inference, Biometrika, vol.105, issue.3, pp.575-592, 2018.

L. De-haan, A spectral representation for max-stable processes, Ann. Probab, vol.12, issue.4, pp.1194-1204, 1984.

L. De-haan and A. Ferreira, Extreme Value Theory. An Introduction, Springer Series in Operations Research and Financial Engineering, 2006.

G. Delrieu, J. Nicol, E. Yates, P. Kirstetter, J. Creutin et al., The catastrophic flash-flood event of 8-9 september 2002 in the Gard region, France: A first case study for the Cévennes-Vivarais Mediterranean Hydrometeorological Observatory, Journal of Hydrometeorology, vol.6, pp.34-52, 2005.

M. Denuit, J. Dhaene, M. Goovaerts, and R. Kaas, Actuarial Theory for Dependence Risks: Measures, Orders and Models, 2005.

C. Dombry, S. Engelke, and M. Oesting, Exact simulation of max-stable processes, Biometrika, vol.103, issue.2, pp.303-317, 2016.

C. Dombry, F. Eyi-minko, and M. Ribatet, Conditional simulation of max-stable processes, Biometrika, vol.100, pp.111-124, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01812188

C. Dombry and M. Ribatet, Functional regular variations, Pareto processes and peaks over threshold, Statistics and Its Interface, vol.8, issue.1, pp.9-17, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01812197

P. Embrechts, C. Klüppelberg, and T. Mikosch, Modelling extremal events for insurance and finance, 1997.

S. Engelke, R. De-fondeville, and M. Oesting, Extremal behaviour of aggregated data with an application to downscaling, 2018.

S. Engelke, A. Malinowski, Z. Kabluchko, and M. Schlather, Estimation of Hüsler-Reiss distributions and Brown-Resnick processes, J. R. Statist. Soc. B, vol.77, pp.239-265, 2015.

, Directive 2007/60/ec of the European parliament and of the council of 23 October 2007 on the assessment and management of flood risks, European Environment Agency, vol.288, pp.27-34, 2007.

A. Ferreira and L. De-haan, The generalized Pareto process; with a view towards application and simulation, Bernoulli, vol.20, issue.4, pp.1717-1737, 2014.

A. Ferreira and L. De-haan, On the block maxima method in extreme value theory: PWM estimators, Ann. Statist, vol.43, issue.1, pp.276-298, 2015.

A. Ferreira, L. De-haan, and C. Zhou, Exceedance probability of the integral of a stochastic process, J. Multiv. Anal, vol.105, issue.1, pp.241-257, 2012.

J. French, P. Kokoszka, S. Stoev, and L. Hall, Quantifying the risk of heat waves using extreme value theory and spatio-temporal functional data, Computnl Statist. Data Anal, vol.131, pp.176-193, 2018.

L. Gardes and S. Girard, Conditional extremes from heavy-tailed distributions: an application to the estimation of extreme rainfall return levels, Extremes, vol.13, issue.2, pp.177-204, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00371757

F. Gottardi, C. Obled, J. Gailhard, and E. Paquet, Statistical reanalysis of precipitation fields based on ground network data and weather patterns: Application over French mountains, Journal of Hydrology, pp.154-167, 2012.

V. Guinot, C. Delenne, A. Rousseau, and O. Boutron, Flux closures and source term models for shallow water models with depth-dependent integral porosity, Advances in Water Resources, vol.122, pp.1-26, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01884110

V. Guinot and S. Soares-frazão, Flux and source term discretization in two-dimensional shallow water models with porosity on unstructured grids, International Journal for Numerical Methods in Fluids, p.50, 2006.
URL : https://hal.archives-ouvertes.fr/hal-02269564

J. E. Heffernan and J. A. Tawn, A conditional approach for multivariate extreme values, J. R. Statist. Soc. B, vol.66, issue.3, pp.497-546, 2004.

R. Huser and J. L. Wadsworth, Modeling spatial processes with unknown extremal dependence class, J. Am. Statist. Ass, 2018.

Z. Kabluchko, M. Schlather, and L. De-haan, Stationary max-stable fields associated to negative definite functions, Ann. Probab, vol.37, issue.5, pp.2042-2065, 2009.

P. D. Le, A. C. Davison, S. Engelke, M. Leonard, and S. Westra, Dependence properties of spatial rainfall extremes and areal reduction factors, Journal of Hydrology, vol.565, pp.711-719, 2018.

T. Lin and L. De-haan, On convergence toward an extreme value distribution in c, 2001.

A. Probab, , vol.29, pp.467-483

L. E. Mcphillips, H. Chang, M. V. Chester, Y. Depietri, E. Friedman et al., Defining extreme events: A cross-disciplinary review, Earth's Future, vol.6, issue.3, pp.441-455, 2018.

M. Oesting, L. Bel, and C. Lantuéjoul, Sampling from a max-stable process conditional on a homogeneous functional with an application for downscaling climate data, Scand. J. Statist, vol.45, issue.2, pp.382-404, 2018.

M. Oesting, M. Schlather, and C. Zhou, Exact and fast simulation of max-stable processes on a compact set using the normalized spectral representation, Bernoulli, vol.24, issue.2, pp.1497-1530, 2018.

T. Opitz, Modeling asymptotically independent spatial extremes based on laplace random fields, Spatial Statistics, vol.16, pp.1-18, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01578266

T. Opitz, J. N. Bacro, and P. Ribereau, The spectrogram: A threshold-based inferential tool for extremes of stochastic processes, Electron. J. Stat, vol.9, pp.842-868, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02078024

I. Pickands and J. , Statistical inference using extreme order statistics, Ann. Statist, vol.3, pp.119-131, 1975.

D. N. Politis and J. P. Romano, The stationary bootstrap, J. Am. Statist. Ass, vol.89, pp.1303-1313, 1994.

H. Rootzén and N. Tajvidi, Multivariate generalized pareto distributions, vol.12, pp.917-930, 2006.

M. Schlather, Models for Stationary Max-Stable Random Fields, Extremes, vol.5, issue.1, pp.33-44, 2002.

M. Schlather and J. A. De-tawn, A Dependence Measure for Multivariate and Spatial Extreme Values: Properties and Inference, Biometrika, vol.90, issue.1, pp.139-156, 2003.

R. L. Smith, Max-stable processes and spatial extremes, 1990.

P. Tabary, P. Dupuy, G. L'henaff, C. Gueguen, L. Moulin et al., A 10-year (1997-2006) reanalysis of quantitative precipitation estimation over france: methodology and first results, vol.351, pp.255-260, 2012.

J. Tawn, R. Shooter, R. Towe, and R. Lamb, Modelling spatial extreme events with environmental applications, Spatial Statistics, 2018.

E. Thibaud and T. Opitz, Efficient inference and simulation for elliptical Pareto processes, Biometrika, vol.102, issue.4, pp.855-870, 2015.

C. Varin, N. Reid, and D. Firth, An overview of composite likelihood methods, Statistica Sinica, vol.21, issue.1, pp.5-42, 2011.

F. Vinet, L. Boissier, and C. Saint-martin, Flash flood-related mortality in southern France: first results from a new database, E3S Web of Conferences, vol.7, pp.3397-3438, 2016.

J. L. Wadsworth and J. A. Tawn, Spatial conditional extremes, 2018.

P. Yiou, Anawege: a weather generator based on analogues of atmospheric circulation, Geoscientific Model Development, vol.7, issue.2, pp.531-543, 2014.