Rotation and scale space random fields and the Gaussian kinematic formula, The Annals of Statistics, vol.40, issue.6, pp.2910-2942, 2012. ,
Random fields and geometry, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-01975050
Lectures from the 39th Probability Summer School held in Saint-Flour, Lecture Notes in Mathematics, vol.2019, 2009. ,
Level sets and extrema of random processes and fields, 2009. ,
Estimation of Local Anisotropy Based on Level Sets, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01676491
On the perimeter of excursion sets of shot noise random fields. The Annals of Probability, vol.44, pp.521-543, 2016. ,
Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields, Electronic Journal of Statistics, vol.13, issue.1, pp.536-581, 2019. ,
Central limit theorems for non-linear functionals of Gaussian fields, Journal of Multivariate Analysis, vol.13, issue.3, pp.425-441, 1983. ,
Central limit theorems for the excursion set volumes of weakly dependent random fields, Bernoulli, vol.18, issue.1, pp.100-118, 2012. ,
, Planck 2015 results: Xvi. Isotropy and statistics of the CMB, 2016.
URL : https://hal.archives-ouvertes.fr/in2p3-01169549
Testing for a Signal with Unknown Location and Scale in a Stationary Gaussian Random Field, The Annals of Statistics, vol.23, issue.2, pp.608-639, 1995. ,
A test of Gaussianity based on the Euler characteristic of excursion sets, Electronic Journal of Statistics, vol.11, issue.1, pp.843-890, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01345225
Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images, Electronic Journal of Statistics, vol.12, issue.2, pp.2873-2904, 2018. ,
Testing that a stationary time series is Gaussian. The Annals of Statistics, pp.1683-1698, 1987. ,
A Central Limit Theorem for the Euler characteristic of a Gaussian excursion set, Annals of Probability, vol.44, issue.6, pp.3849-3878, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-00943054
Genus topology of the cosmic microwave background from the WMAP 3-year data, Monthly Notices of the Royal Astronomical Society, vol.377, issue.4, pp.1668-1678, 2007. ,
, Genus topology of structure in the sloan digital sky survey: Model testing, vol.675, p.16, 2008.
Second-order properties and central limit theorems for geometric functionals of Boolean models, The Annals of Applied Probability, vol.26, issue.1, pp.73-135, 2016. ,
Central limit theorem for Lipschitz-Killing curvatures of excursion sets of Gaussian random fields, Journal of Theoretical Probability, vol.31, issue.3, pp.1729-1758, 2018. ,
Shot-noise excursions and non-stabilizing Poisson functionals, Annals of Applied Probability, 2017. ,
A novel 3D stochastic solid breast texture model for X-Ray breast imaging, Breast Imaging, pp.660-667, 2016. ,
Wave analysis by Slepian models. Probabilistic engineering mechanics, vol.15, pp.49-57, 2000. ,
The statistical analysis of a random, moving surface, Philosophical Transactions of the Royal Society A, vol.249, issue.966, pp.321-387, 1957. ,
Stein-Malliavin approximations for nonlinear functionals of random eigenfunctions on S d, Journal of Functional Analysis, vol.268, issue.8, pp.2379-2420, 2015. ,
Characterization of mammary gland tissue using joint estimators of Minkowski functionals, Image Analysis & Stereology, vol.26, issue.1, pp.13-22, 2011. ,
A central limit theorem for Lipschitz-Killing curvatures of Gaussian excursions, Journal of Mathematical Analysis and Applications, vol.452, issue.2, pp.1040-1081, 2017. ,
A random-projection based test of Gaussianity for stationary processes, Computational Statistics & Data Analysis, vol.75, pp.124-141, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01980668
Normal approximation with Malliavin calculus, Cambridge Tracts in Mathematics, p.192, 2012. ,
On the estimation of integrated covariance functions of stationary random fields, Scandinavian Journal of Statistics, vol.37, issue.1, pp.47-66, 2010. ,
On the rate of convergence for central limit theorems of sojourn times of Gaussian fields, Stochastic Processes and their Applications, vol.123, pp.2158-2174, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00966195
Minkowski functionals used in the morphological analysis of cosmic microwave background anisotropy maps, Monthly Notices of the Royal Astronomical Society, vol.297, issue.2, pp.355-365, 1998. ,
Quasi-associatedness of a Gaussian system of random vectors, Russian Mathematical Surveys, vol.57, issue.6, pp.1243-1244, 2002. ,
The Mammographic Image Analysis Society Digital Mammogram Database, International Congress Series, 1069. ,
, Orthogonal Polynomials. Number, vol.23, 1959.
Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence. Probability Theory and Related Fields, vol.40, pp.203-238, 1977. ,
Surfaces aléatoires: mesure géométrique des ensembles de niveau, vol.1147, 2006. ,
, Number of p?values associated to the 1000 different values of u that are smaller than the significant level ? = 0.2. The numbers larger than ? × 1000 = 200 for which H 0 is rejected, Synthetic digital mammograms study, vol.2