In general, one can see that deriving lower bounds on tails of random variables with little upper bound control is a difficult task, deserving of further study Tail probabilities in Gauss space, Vector Space Measures and Applications, pp.71-82, 1977. ,
On a certain exponential inequality for Gaussian processes, Extremes, vol.24, issue.3-4, pp.169-176, 2006. ,
DOI : 10.1007/s10687-007-0031-5
Stein???s method for concentration inequalities, Probability Theory and Related Fields, vol.81, issue.4, 2008. ,
DOI : 10.1007/s00440-006-0029-y
Fluctuations of eigenvalues and second order Poincar?? inequalities, Probability Theory and Related Fields, vol.123, issue.3, 2008. ,
DOI : 10.1007/s00440-007-0118-6
Hitting times for Gaussian processes, The Annals of Probability, vol.36, issue.1, pp.319-330, 2008. ,
DOI : 10.1214/009117907000000132
URL : https://hal.archives-ouvertes.fr/hal-00079171
Concentration and deviation inequalities in infinite dimensions via covariance representations, Bernoulli, vol.8, issue.6, pp.697-720, 2002. ,
Cube Root Asymptotics, The Annals of Statistics, vol.18, issue.1, pp.191-219, 1990. ,
DOI : 10.1214/aos/1176347498
Lower bounds for densities of uniformly elliptic random variables on Wiener space. Probab. Theory Relat, pp.421-457, 2003. ,
Applications of the Malliavin Calculus, Part III, J. Fac. Sci. Univ. Tokyo Sect IA Math, vol.34, pp.391-442, 1987. ,
Probability on Banach Spaces, 1991. ,
DOI : 10.1007/978-3-642-20212-4
Stein???s method on Wiener chaos, Probability Theory and Related Fields, vol.25, issue.4, 2008. ,
DOI : 10.1007/s00440-008-0162-x
The Malliavin calculus and related topics, 2006. ,
DOI : 10.1007/978-1-4757-2437-0
Exponential divergence estimates and heat kernel tail, Comptes Rendus Mathematique, vol.338, issue.1, pp.77-80, 2004. ,
DOI : 10.1016/j.crma.2003.11.015
Probabilistic methods in the geometry of Banach spaces, Probability and Analysis, pp.167-241, 1986. ,
DOI : 10.1007/BFb0076302
Supremum concentration inequality and modulus of continuity for sub-nth chaos processes, Journal of Functional Analysis, vol.248, issue.1, pp.1-26, 2007. ,
DOI : 10.1016/j.jfa.2007.03.019
The Wills functional and Gaussian processes, The Annals of Probability, vol.24, issue.4, pp.2172-2178, 1996. ,
DOI : 10.1214/aop/1041903224