Gao, F. A probabilistic characterization of negative definite functions. HDP VIII Progress in Probability. (to appear) (2019)

Gao, F. and Lai, M-J. A new H^2 regularity of the solution to Dirichlet problem of the Poisson equation with an application. Acta Math Sinica. (to appear) (2019)

Cockreham, J. and Gao, F. Metric entropy of class of sets with positive reach. Constr. Approx 47 (2018), no. 2, 357–371.

Gao, F; Wellner, J.A. Metric Entropy of Convex Functions on R^n. Constr. Approx. 46 (2017), no. 3, 565–592.

Cockreham, J; Gao, F. and Yang, Y. Metric entropy of l_q-hulls in Banach spaces of type p. Proc. of Amer. Math. Soc. 145 (2017), no. 12, 5205–5214.

Chen, X. and Gao, F. A reverse Gaussian correlation inequality by adding cones. Statistics & Probability Letters 123 (2017) 84-89.

Gao, F.; Yang, X. Upper tail probabilities of integrated Brownian motions. Sci. China Math. 58 (2015), no.5, 1091–1100.

Gao, F; Liu Z; Yang, X. Conditional persistence of Gaussian random walks. Electron. Commun. Probab. 19 (2014), no. 70, 1–9.

Wang, Z.; Paterlini, S; Gao, F. and Yang, Y. Adaptive minimax regression estimation over sparse lq-hulls. J. Mach. Learn. Res. 15 (2014), 1675–1711.

Gao, F. Optimality of CKP-inequality in the critical case. Proc. Amer. Math. Soc. 142 (2014), no. 3, 909–914.

Gao, F; Liu, Z; Yang, X. Comparison for upper tail probabilities of random series. J. Korean Stat. Soc. 42 (2013) 443-450.

Gao, F. Bracketing entropy of high dimensional distributions. Progress in Probability, 66 (2013), 3-17.

Dembo, A; Ding, J; Gao, F. Persistence of iterated partial sums. Ann. Inst. H. Poincaré Probab. Statist. 49 (2013), no. 3, 873-884.

Aurzada, F; Gao, F; Kühn, T; Li, W.V.; Shao, Q-M. Small deviations for a family of smooth Gaussian processes. J. Theoret. Probab. 26 (2013), no. 1, 153–168.

Gao, F. A simple proof of the right-hand rule. College Math. J. 44 (2013), no. 3, 227–229.

Gao, F; Wellner, J.A. Global rates of convergence of the MLE for multivariate interval censoring. Electron. J. Stat. 7 (2013), 364–380.

Gao, F; Ing, C-K; Yang, Y. Metric entropy and sparse linear approximation of lq-hulls for 0

Gao, F; Han, L; Schilling, K. On the rate of convergence of iterated exponentials. J. Appl. Math. Comput. 39 (2012), no. 1-2, 89–96.

Gao, F. and Han, L. Implementing the Nelder–Mead Simplex Algorithm with Adaptive Parameters. Comput. Optim. Appl. 51 (2012), no. 1, 259–277.

Gao. F. Li, W; and Wellner, J. How many Laplace transforms of probabilities densities are there? Proceedings of AMS. 138, no. 12, (2010), 4331–4344

Gao, F. Exact Value of the n-term Approximation of a Diagonal Operator.J. Appr. Theo. 162 (2010) 646–652

Gao. F. and Wellner, J. Rate of convergence of the Maximum Likelihood Estimator of a k-monotone density. Science in China. Series A. Vol 52, No. 7, 1525-1538. (2009)

Gao. F. Metric entropy k- monotone functions via small deviation probability of integrated Brownian motions. Electr. Comm. Probab. 13 (2008): paper No. 12, 121-130.

Blei, R.C; Gao, F; and Li, V.W. Metric entropy of high dimensional distributions. Proc. of Amer. Math. Soc. 135 (2007): 4009-

Gao,F and Wellner, J. Metric entropy of monotonic functions. J. Multivari. Anal. . 98 (2007), No.9, 1751-1764.

Gao, F and Li, V.W. Small ball probabilities for the Slepian Gaussian fields. Trans. Amer. Math. Soc. 359 (2007), 1339-1350.

Gao, F and Li, V.W. Logarithmic-level comparison for small deviation probabilities. J. Theoret. Probab. 19 (2006), 535-556.

Gao, F. Non-zero boundaries of Leibniz half-space. Proc. of Amer. Math. Soc. 133 (2005), No. 6, 1757-1762.

Blei, R.C. and Gao, F. On the combinatorial dimensions. Random Structure and Algorithm. 26 (2005), No. 1-2, 146-159.

Gao, F., Hannig, J., Lee, T-Y and Torcaso, F. Exact L(2) small balls of Gaussian processes. J. Theor. Probab. 17, No. 2 (2004), 503-520.

Gao, F. Metric entropy of absolute convex hulls in Hilbert spaces. Bull. London Math. Soc. 36 (2004), 460-468.

Gao, F. The mean of a maximal likelihood estimator associated with Brownian bridges. Electr. Comm. Probab. 8 (2003): paper No. 1, 1-5.

Gao, F., Hug, D. and Schneider, R. Intrinsic volumes and polar sets in spherical space. Mathematicae Notae. Ano XLI (2001/02) Vol. 1. (2003) 159-176.

Gao, F., Hannig, J., Lee, T-Y and Torcaso, F. Laplace transforms via Hadamard factorization. Electronic J. Probab., 8 (2003): paper No. 13, 1-20.

Gao, F., Hannig, J. and Torcaso, F. Integrated Brownian motions and exact L(2) small balls. Ann. Probab. 31(2003): 1320-1337.

Gao, F., Hannig, J. and Torcaso, F. Comparison Theorems for Small Deviations of Random Series. Electronic J. Probab. 8 (2003): paper No. 21. 1-17.

Gao, F. Metric entropy of convex hulls. Israel J. Math. 123 (2001), 359-364.

Gao, F. and Vitale, R.A. Intrinsic volumes of the Brownian motion body. Discrete Comput. Geom. 26 (2001), No. 1, 41-50.

Gao, F. A characterization of random Bloch functions. J. Math. Anal. Appl. 252 (2000), No.2, 959-966.