Publications

All papers are availalbe digitally in Google Scholar.

year title
2024 "Covering one point process with another"
2024 "Fluctuations of the connectivity threshold and largest nearest-neighbour link"
2024 "On the rate of convergence in the Hall-Janson coverage theorem"
2023 "A generalized {K}ubilius-{B}arban-{V}inogradov bound for prime multiplicities"
2023 "Multivariate Stable Approximation by {S}tein’s Method"
2023 "Largest nearest-neighbour link and connectivity threshold in a polytopal random sample"
2022 "Non-integrable stable approximation by {S}tein’s method"
2022 "Fractal {G}aussian Networks: A sparse random graph model based on {G}aussian Multiplicative Chaos"
2022 "Natural boundary of the random power series"
2022 "Quantitative two-scale stabilization on the {P}oisson space"
2022 "Multivariate normal approximation on the {W}iener space: new bounds in the convex distance"
2022 "On $k$-clusters of high-intensity random geometric graphs"
2021 "Malliavin--Stein method: a survey of some recent developments"
2021 "A probabilistic approach to the {E}rd{\"o}s-{K}ac theorem for additive functions"
2020 "Fractal {G}aussian Networks: A sparse random graph model based on {G}aussian Multiplicative Chaos"
2020 "Restricted hypercontractivity on the {P}oisson space"
2020 "Uniform dimension results for the inverse images of symmetric {L\'e}vy processes"
2019 "On the favorite points of symmetric {L}{\'e}vy processes"
2019 "Multifractal properties of sample paths of ground state-transformed jump processes"
2019 "Berry-{E}sseen bounds in the {B}reuer-{M}ajor {CLT} and {G}ebelein's inequality"
2019 "On sojourn of {B}rownian motion inside moving boundaries"
2018 "Uniform hausdorff dimension result for the inverse images of stable {L\'e}vy processes"
2018 "Hausdorff dimension of the range and the graph of stable-like processes"
2018 "Multifractality of jump diffusion processes"
2017 "Multifractal analysis for the occupation measure of stable-like processes"
2016 "Etude dimensionnelle de la r{\'e}gularit{\'e} de processus de diffusion {\`a} sauts"

References

[1]
E. Azmoodeh, G. Peccati, and X. Yang, Malliavin–stein method: A survey of some recent developments, Modern Stochastics: Theory and Applications 8 (2021), no. 2, 141–177.
[2]
L. H. Chen, A. Jaramillo, and X. Yang, A probabilistic approach to the Erdös-Kac theorem for additive functions, arXiv Preprint arXiv:2102.05094 (2021).
[3]
L. H. Chen, A. Jaramillo, and X. Yang, A generalized Kubilius-Barban-Vinogradov bound for prime multiplicities, ALEA 20 (2023), 713–730.
[4]
P. Chen, I. Nourdin, L. Xu, and X. Yang, Multivariate stable approximation by Stein’s method, Journal of Theoretical Probability (2023), 1–43.
[5]
P. Chen, I. Nourdin, L. Xu, X. Yang, and R. Zhang, Non-integrable stable approximation by Stein’s method, Journal of Theoretical Probability (2022), 1–50.
[6]
S. Ghosh, K. Balasubramanian, and X. Yang, Fractal Gaussian networks: A sparse random graph model based on Gaussian multiplicative chaos, in International Conference on Machine Learning, (PMLR, 2020), pp. 3545–3555.
[7]
S. Ghosh, K. Balasubramanian, and X. Yang, Fractal Gaussian networks: A sparse random graph model based on Gaussian multiplicative chaos, IEEE Transactions on Information Theory 68 (2022), no. 5, 3234–3252.
[8]
F. Higgs, M. D. Penrose, and X. Yang, Covering one point process with another, arXiv Preprint arXiv:2401.03832 (2024).
[9]
Y. Huo, D. Sun, X. Yang, and L. Fang, Natural boundary of the random power series, Science China Mathematics (2022), 1–20.
[10]
R. Lachièze-Rey, G. Peccati, and X. Yang, Quantitative two-scale stabilization on the Poisson space, The Annals of Applied Probability 32 (2022), no. 4, 3085–3145.
[11]
B. Li, Y. Xiao, and X. Yang, On the favorite points of symmetric Lévy processes, Journal of Theoretical Probability 32 (2019), 1943–1972.
[12]
J. Lőrinczi, and X. Yang, Multifractal properties of sample paths of ground state-transformed jump processes, Chaos, Solitons & Fractals 120 (2019), 83–94.
[13]
I. Nourdin, G. Peccati, and X. Yang, Berry-Esseen bounds in the Breuer-Major CLT and Gebelein’s inequality, Electronic Communications in Probability 24 (2019), no. 34, 1–12.
[14]
I. Nourdin, G. Peccati, and X. Yang, Restricted hypercontractivity on the Poisson space, Proceedings of the American Mathematical Society 148 (2020), no. 8, 3617–3632.
[15]
I. Nourdin, G. Peccati, and X. Yang, Multivariate normal approximation on the Wiener space: New bounds in the convex distance, Journal of Theoretical Probability 35 (2022), no. 3, 2020–2037.
[16]
H. Park, Y. Xiao, and X. Yang, Uniform dimension results for the inverse images of symmetric vy processes, Journal of Theoretical Probability 33 (2020), no. 4, 2213–2232.
[17]
M. D. Penrose, and X. Yang, On \(k\)-clusters of high-intensity random geometric graphs, arXiv Preprint arXiv:2209.14758 (2022).
[18]
M. D. Penrose, and X. Yang, On the rate of convergence in the hall-janson coverage theorem, arXiv Preprint arXiv:2405.16461 (2024).
[19]
M. D. Penrose, and X. Yang, Fluctuations of the connectivity threshold and largest nearest-neighbour link, arXiv Preprint arXiv:2406.00647 (2024).
[20]
M. D. Penrose, X. Yang, and F. Higgs, Largest nearest-neighbour link and connectivity threshold in a polytopal random sample, Journal of Applied and Computational Topology (2023), 1–28.
[21]
S. Seuret, and X. Yang, Multifractal analysis for the occupation measure of stable-like processes, Electron. J. Probab 22 (2017), no. 47, 1–36.
[22]
S. Seuret, and X. Yang, On sojourn of Brownian motion inside moving boundaries, Stochastic Processes and Their Applications 129 (2019), no. 3, 978–994.
[23]
R. Song, Y. Xiao, and X. Yang, Uniform hausdorff dimension result for the inverse images of stable vy processes, Electronic Communications in Probability 23 (2018), 75.
[24]
X. Yang, Etude dimensionnelle de la régularité de processus de diffusion à sauts, PhD thesis, Paris Est, (2016).
[25]
X. Yang, Hausdorff dimension of the range and the graph of stable-like processes, Journal of Theoretical Probability 31 (2018), no. 4, 2412–2431.
[26]
X. Yang, Multifractality of jump diffusion processes, Annales de L’Institut Henri Poincare Section (B) Probability and Statistics 54 (2018), no. 4, 2042–2074.