Adler, R.J., Taylor, J.E., Random Fields and Geometry. 2007, Springer, Berlin.
Alexander, R., Lipschitzian mappings and total mean curvature of polyhedral surfaces. I. Trans. Amer. Math. Soc. 288:2 (1985), 661–678.
Chatterjee, S., An error bound in the Sudakov-Fernique inequality. 2005 arXiv:math/0510424.
Chernozhukov, V., Chetverikov, D., Kato, K., Comparison and anti-concentration bounds for maxima of Gaussian random vectors. Probab. Theory Related Fields 162:1–2 (2015), 47–70.
Chernozhukov, V., Chetverikov, D., Kato, K., Empirical and multiplier bootstraps for suprema of empirical processes of increasing complexity, and related gaussian couplings. Stochastic Process. Appl. 126:12 (2016), 3632–3651.
Chernozhukov, V., Chetverikov, D., Kato, K., Koike, Y., Improved central limit theorem and bootstrap approximation in high dimension. Ann. Statist., 2022 (forthcoming).
Debicki, K., Hashorva, E., Ji, L., Ling, C., Comparison inequalities for order statistics of gaussian arrays. ALEA 14 (2017), 93–116.
Fernique, X., Regularité des trajectoires des fonctions aléatoires gaussiennes. École d’Été de Probabilités de Saint-Flour, IV-1974 Lecture Notes in Math., vol. 480, 1975, 1–96.
Gordon, Y., Some inequalities for Gaussian processes and applications. Israel J. Math. 50:4 (1985), 265–289.
Gordon, Y., Elliptically contoured distributions. Probab. Theory Related Fields 76:4 (1987), 429–438.
Gordon, Y., Majorization of Gaussian processes and geometric applications. Probab. Theory Related Fields 91:2 (1992), 251–267.
Kahane, J.-P., Une inégalité du type de Slepian et Gordon sur les processus gaussiens. Israel J. Math. 55:1 (1986), 109–110.
Koike, Y., Gaussian approximation of maxima of wiener functionals and its application to high-frequency data. Ann. Statist. 47:3 (2019), 1663–1687.
Ledoux, M., The Concentration of Measure Phenomenon. Mathematical Surveys and Monographs, 2001, American Mathematical Society, Providence, RI.
Liu, Y., Xie, J., Accurate and efficient p-value calculation via gaussian approximation: A novel monte-carlo method. J. Amer. Statist. Assoc., 525(114), 2019.
Liu, Y., Xie, J., Supplement to liu and xie (2019a). J. Amer. Statist. Assoc., 2019.
Nazarov, F., On the maximal perimeter of a convex set in Rn with respect to a Gaussian measure. Geometric Aspects of Functional Analysis Lecture Notes in Math., vol. 1807, 2003, Springer, Berlin, 169–187.
I. Nourdin, Malliavin-Stein. https://sites.google.com/site/malliavinstein/home.
Nourdin, I., Peccati, G., Normal Approximations with Malliavin Calculus. From Stein's method to universality. Cambridge Tracts in Mathematics, 2012, Cambridge University Press, Cambridge.
Nourdin, I., Peccati, G., Viens, F.G., Comparison inequalities on wiener space. Stochastic Process. Appl. 124:4 (2014), 1566–1581.
Sudakov, V.N., Gaussian random processes, and measures of solid angles in Hilbert space. Dokl. Akad. Nauk SSSR 197 (1971), 43–45.
Sudakov, V.N., Geometric problems in the theory of infinite-dimensional probability distributions. Proc. Steklov Inst. Math. 2:i–v (1979), 1–178.
Vitale, R.A., Some comparisons for Gaussian processes. Proc. Amer. Math. Soc. 128:10 (2000), 3043–3046.