I am Xiaochuan Yang, lecturer at Brunel University London. My research interest lies in Probability Theory and its connection with analysis, statistics, and other disciplines of science and technology such as physics, machine learning, geometric and topological data analysis. Previously I held the position of EPSRC postdoc at the University of Bath, the Luxembourg-Singapore bilateral postdoc position, and visiting assistant professor position at Michigan State University. I wrote my PhD thesis at Université Paris-Est.
Fractal Gaussian Networks: A sparse random graph model based on Gaussian Multiplicative Chaos.(with Subhroshekhar Ghosh, Krishna Balasubramanian).IEEE Trans. Inform. Theory, vol. 68, no. 5, pp. 3234-3252, May 2022. (Part of this work has been published in ICML 2020)
Quantitative two-scale stabilization on the Poisson space.(with Raphaël Lachièze-Rey, Giovanni Peccati).Ann. Appl. Probab. 32 (2022), no. 4, 3085--3145.
Natural boundary of the random power series.(with Yingying Huo, Daochun Sun, Lulu Fang).Sci. China Math. 65 (2022), no. 5, 951--970.
Malliavin-Stein Method: a Survey of Recent Developments.(with Ehsan Azmoodeh, Giovanni Peccati).Modern Stochastics: Theory and Applications 2021, Vol. 8, No. 2, 141-177.
Multivariate normal approximation on the Wiener space: new bounds in the convex distance.(with Ivan Nourdin, Giovanni Peccati).J. Theoret. Probab. to appear.
Non-integrable stable approximation by Stein’s method.(with Peng Chen, Ivan Nourdin, Lihu Xu and Rui Zhang). J. Theoret. Probab. 35 (2022), no. 2, 1137--1186.
Restricted hypercontractivity on the Poisson space.(with Ivan Nourdin, Giovanni Peccati).Proc. Amer. Math. Soc. 148 (2020), no. 8, 3617–3632.
Uniform dimension results for the inverse images of symmetric Lévy processes.(with Hyunchul Park, Yimin Xiao).J. Theoret. Probab. 33 (2020), no. 4, 2213–2232.
Berry-Esseen bounds in the Breuer-Major CLT and Gebelein's inequality.(with Ivan Nourdin, Giovanni Peccati). Electron. Commun. Probab. Volume 24 (2019), paper no. 34, 12 pp.
On the favorite points of symmetric Lévy processes.(with Bo Li, Yimin Xiao). J. Theoret. Probab. 32(2019), No.4, 1943-1972
Multifractal properties of sample paths of ground state-transformed jump processes.(with Jozsef Lorinczi). Chaos Solitons Fractals 120 (2019) 83–94.
On sojourn of Brownian motion inside moving boundaries.(with Stéphane Seuret). Stochastic Process. Appl. 129 (2019) 978–994.
Uniform Hausdorff dimension result for the inverse images of stable Lévy processes(with Renming Song, Yimin Xiao). Electron. Commun. Probab., Volume 23 (2018), paper no. 75, 10 pp.
Multifractality of jump diffusion processes. Ann. Inst. Henri Poincaré Probab. Stat. 54 (2018), No.4, 2042-2074.
Hausdorff dimension of the range and the graph of stable-like processes. J. Theoret. Probab. 31 (2018), No.4, 2412-2431.
Multifractal analysis for the occupation measure of stable-like processes.(with Stéphane Seuret), Electron. J. Probab. 22 (2017), Paper No. 47, 36 pp.
On k-clusters of high-intensity random geometric graphs(with Mathew D. Penrose).
A generalized Kubilius-Barban-Vinogradov bound for prime multiplicities(with Louis H. Y. Chen, Arturo Jaramillo).
A probabilistic approach to the Erdös-Kac theorem for additive functions.(with Louis H. Y. Chen, Arturo Jaramillo).
Multivariate stable approximation in Wasserstein distance by Stein’s method.(with Peng Chen, Ivan Nourdin and Lihu Xu).