{"id":5,"date":"2024-07-25T17:42:42","date_gmt":"2024-07-25T21:42:42","guid":{"rendered":"https:\/\/sites.bu.edu\/gzheng90\/guangqu-zheng\/"},"modified":"2026-04-16T14:56:52","modified_gmt":"2026-04-16T18:56:52","slug":"guangqu-zheng","status":"publish","type":"page","link":"https:\/\/sites.bu.edu\/gzheng90\/","title":{"rendered":"Guangqu Zheng"},"content":{"rendered":"<h2>&#8230;Hi&#8230;<\/h2>\n<p><img loading=\"lazy\" src=\"\/gzheng90\/files\/2026\/04\/martha.jpg\" alt=\"\" width=\"614\" height=\"362\" class=\" wp-image-366 aligncenter\" \/><\/p>\n<p style=\"text-align: center;\">[<a href=\"https:\/\/sites.bu.edu\/gzheng90\/douby\/\" target=\"_blank\" rel=\"noopener noreferrer\">Pictures with Douby<\/a>]<\/p>\n<p style=\"text-align: left;\">From 2024 fall: Tenure-track assistant professor at Department of\u00a0 Mathematics and Statistics, Boston University (<a href=\"https:\/\/www.bu.edu\/math\/profile\/guangqu-zheng\/\">faculty profile<\/a>)<\/p>\n<p style=\"text-align: left;\">665 Commonwealth Ave, office CDS 429, Boston, MA 02215<\/p>\n<p style=\"text-align: left;\">Email: <a href=\"mailto:gzheng90@bu.edu\">gzheng90@bu.edu<\/a><\/p>\n<hr \/>\n<p>For the 2025\/26 academic year, I am in charge of the<\/p>\n<h3 style=\"text-align: left;\"><a href=\"https:\/\/www.bu.edu\/stat\/statistics-and-probability-seminar-series\/\" target=\"_blank\" rel=\"noopener noreferrer\">Statistics and Probability Seminar series at BU<\/a><\/h3>\n<hr \/>\n<h3 style=\"text-align: left;\">Teaching\/advising at BU<\/h3>\n<div class=\"MuiGrid-root-179 MuiGrid-item-181 MuiGrid-grid-xs-12-225\" style=\"text-align: left;\">\n<p>For undergraduates who plan to do a honorary thesis with me: you are expected to know basic real analysis and probability theory (equivalent to <a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-511\/\">MA511<\/a>, <a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-581\/\">MA581<\/a> at BU); for Master students: you are expected to know basic real analysis and probability theory (equivalent to <a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-511\/\">MA511<\/a>, <a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-581\/\">MA581<\/a>, <a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-583\/\">MA583<\/a>, [optional <a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-711\/\">MA711<\/a>]\u00a0 at BU); for PhD students: you are expected to be interested in stochastic analysis.<\/p>\n<p><strong>2026 Spring: (Link\u2192<a href=\"https:\/\/sites.bu.edu\/gzheng90\/teaching\/\">previous teaching<\/a>)<\/strong><\/p>\n<\/div>\n<div>\n<p style=\"text-align: left;\"><strong><a href=\"https:\/\/www.bu.edu\/academics\/hub\/courses\/cas-ma-213\/\" target=\"_blank\" rel=\"noopener\">CASMA 213<\/a> <\/strong><span>\u00a0<\/span><\/p>\n<div class=\"MuiGrid-root-179 MuiGrid-item-181 MuiGrid-grid-xs-12-225\" style=\"text-align: left;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li class=\"MuiGrid-root-179 jss426 MuiGrid-container-180 MuiGrid-wrap-xs-nowrap-186\">Lecture Time:\u00a0 MWF<em><span style=\"text-decoration: underline;\"> 1:25PM &#8211; 2:15PM<\/span><\/em><\/li>\n<li class=\"MuiGrid-root-179 jss426 MuiGrid-container-180 MuiGrid-wrap-xs-nowrap-186\">Classroom: CAS 211<\/li>\n<li>Office hours: Mondays 2:30-3:45PM and Thursdays 9:00-10:00AM at <strong>CDS 429.<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div style=\"text-align: left;\"><span>More information about the course can be found at\u00a0<\/span><a href=\"http:\/\/learn.bu.edu\/\">http:\/\/learn.bu.edu\/<\/a><\/div>\n<hr \/>\n<h3 style=\"text-align: left;\">Research interests<\/h3>\n<ul style=\"text-align: left;\">\n<li>Malliavin calculus, Gaussian analysis<\/li>\n<li>Stein&#8217;s method, limit theorems<\/li>\n<li>(Singular) SPDEs<\/li>\n<li>Rough path theory<\/li>\n<li>Machine learning, Bayesian statistics<\/li>\n<\/ul>\n<p>Links to all\u2192<a rel=\"noreferrer noopener\" href=\"http:\/\/arxiv.org\/a\/zheng_g_1\" target=\"_blank\">arXiv preprints<\/a> and <a rel=\"noreferrer noopener\" href=\"https:\/\/scholar.google.com\/citations?user=Uf90Fk0AAAAJ&amp;hl=en\" target=\"_blank\">google scholar profile<\/a><\/p>\n<p style=\"text-align: left;\"><b>Preprints:<\/b><\/p>\n<ul style=\"text-align: left;\">\n<li style=\"list-style-type: none;\">\n<ol lower-roman=\"\">\n<li>Pathwise well-posedness of the stochastic nonlinear Schr\u00f6dinger equation with multiplicative noises (jointly with T. Oh)<\/li>\n<li>Almost sure central limit theorems via chaos expansions and related results (with L. Maini and M. Rossi) <a href=\"https:\/\/arxiv.org\/abs\/2502.00759\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv link<\/a><\/li>\n<li>Functional second-order Gaussian Poincar\u00e9 inequalities (with A. Vidotto) <a href=\"https:\/\/arxiv.org\/abs\/2506.13571\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv link<\/a><\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p style=\"text-align: left;\"><strong>Publications\/in press:<\/strong><\/p>\n<ol style=\"text-align: left;\" reversed=\"\">\n<li><a href=\"https:\/\/doi.org\/10.1214\/26-EJP1517\" target=\"_blank\" rel=\"noopener\">Central limit theorem for stochastic nonlinear wave equation with pure-jump L\u00e9vy white noise<\/a> (with R.M. Balan) <span><strong>Electronic Journal of Probability<\/strong>, 31 (2026), paper no. 70, 1-46<\/span><strong>; <\/strong><a href=\"https:\/\/arxiv.org\/abs\/2504.18672\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1112\/tlm3.70005\" target=\"_blank\" rel=\"noopener noreferrer\">On the deep-water and shallow-water limits of the intermediate long wave equation from a statistical viewpoint<\/a> (jointly with G. Li and T. Oh) \u00a0<strong>Trans. London Math. Soc.<\/strong> 12 (2025), no. 1, Paper No. e70005; <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2211.03243\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1007\/s00220-025-05486-0\" target=\"_blank\" rel=\"noopener\">Hyperbolic P(\u03c6)<sub>2<\/sub>-model on the plane<\/a> (jointly with T. Oh, L. Tolomeo, and Y. Wang) <strong>Commun. Math. Phys.<\/strong><span>\u00a0<\/span>407<span>, 34 (2026);<\/span>\u00a0<a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2211.03735\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10959-025-01412-1?utm_source=rct_congratemailt&amp;utm_medium=email&amp;utm_campaign=oa_20250328&amp;utm_content=10.1007\/s10959-025-01412-1\" target=\"_blank\" rel=\"noopener noreferrer\">Almost sure central limit theorems for parabolic\/hyperbolic Anderson models with Gaussian colored noises<\/a> (jointly with P. Xia) <b>J. Theor. Probab. <\/b>Vol. 38<span>, no.46 (2025). <\/span>\u00a0<a href=\"http:\/\/arxiv.org\/abs\/2409.07358\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1090\/proc\/17204\" target=\"_blank\" rel=\"noopener noreferrer\">Almost sure central limit theorem for the hyperbolic Anderson model with L\u00e9vy white noise<\/a> (jointly with R.M. Balan and P. Xia) <b>Proc. Amer. Math. Soc<\/b>. Vol. 153, no.7 (2025) <a href=\"https:\/\/arxiv.org\/abs\/2310.10784\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/www.ams.org\/journals\/tran\/2024-377-06\/S0002-9947-2024-09135-3\/?active=current\">Hyperbolic Anderson model with L\u00e9vy white noise: spatial ergodicity and fluctuation<\/a>, (jointly with R.M. Balan) <strong>Trans. Amer. Math. Soc.<\/strong><span>\u00a0<\/span>377<span>\u00a0<\/span>(2024), 4171-4221, <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2302.14178\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/projecteuclid.org\/journals\/electronic-journal-of-probability\/volume-29\/issue-none\/Steins-method-smoothing-and-functional-approximation\/10.1214\/24-EJP1081.full\">Stein&#8217;s method, smoothing and functional approximation<\/a> (joint with A. D. Barbour and N. Ross) <strong>Electronic Journal of Probability<\/strong> 29 (2024) 1-29, <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2106.01564\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1214\/22-AAP1908\">Stein&#8217;s method, Gaussian processes and Palm measures, with applications to queuing<\/a> (joint with A. D. Barbour and N. Ross) <span><strong>Ann. Appl. Probab.<\/strong> 33(5): 3835-3871 (2023), <\/span><a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2110.10365\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1214\/22-EJP847\" target=\"_blank\" rel=\"noopener noreferrer\">Quantitative central limit theorems for the parabolic Anderson model driven by colored noise <\/a>(joint with D. Nualart and P. Xia) <b>Electron. J. Probab.<\/b> 27, 1-43 (2022) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2109.03875\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1214\/22-AIHP1247\" target=\"_blank\" rel=\"noopener noreferrer\">A simplified second-order Gaussian Poincar\u00e9 inequality in discrete setting with applications <\/a> (joint with P. Eichelsbacher, B. Redno\u00df, and Ch. Th\u00e4le) <b>Ann. Inst. H. Poincar\u00e9 Probab. Statist<\/b>. 59(1): 271-302 (2023) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2108.05216\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1007\/s40072-021-00227-5\" target=\"_blank\" rel=\"noopener noreferrer\">The hyperbolic Anderson model: Moment estimates of the Malliavin derivatives and applications <\/a>(joint with R. Balan, D. Nualart and L. Quer-Sardanyons) <b>Stoch PDE: Anal Comp<\/b> 10, 757-827 (2022) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2101.10957\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1007\/s10959-021-01133-1\" target=\"_blank\">Asymptotic behavior of large Gaussian correlated Wishart matrices<\/a> (joint with I. Nourdin) <b>J. Theor. Probab.<\/b> 35, pp. 2239\u20132268 (2022) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1804.06220\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/alea.impa.br\/articles\/v18\/18-33.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Spatial averages for the parabolic Anderson model driven by rough noise (pdf)<\/a> (joint with D. Nualart and X. Song) <b>ALEA, Lat. Am. J. Probab. Math. Stat.<\/b> 18 (2021) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2010.05905\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1214\/20-ECP361\" target=\"_blank\">Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3 <\/a>(joint with D. Nualart) <b>Electron. Commun. Probab<\/b>, 25, 1-11 (2020) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2007.12465\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1007\/s40072-021-00209-7\" target=\"_blank\">Central limit theorems for stochastic wave equations in dimensions one and two<\/a> (joint with D. Nualart) <b>Stoch PDE: Anal Comp<\/b>, 10, 392\u2013418 (2022) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2005.13587\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1214\/21-EJP672\" target=\"_blank\">Averaging 2D Stochastic wave equation<\/a> (joint with R. Bola\u00f1os-Guerrero and D. Nualart) <b>Electron. J. Probab<\/b>. 26 (2021) <a rel=\"nonreferrer noopener noreferrer\" href=\"https:\/\/arxiv.org\/abs\/2003.10346\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/content.iospress.com\/articles\/asymptotic-analysis\/asy191575\" target=\"_blank\">Oscillatory Breuer-Major theorem with application to the random corrector problem<\/a>(joint with D. Nualart) <b>Asymptotic Analysis<\/b>, 119 (2020) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1904.09467\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1214\/20-EJP453\" target=\"_blank\">Averaging Gaussian functionals<\/a> (joint with D. Nualart). <b>Electron. J. Probab.<\/b> 25 (2020) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1910.00750\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1007\/s40072-019-00149-3\" target=\"_blank\">Gaussian fluctuations for the stochastic heat equation with colored noise<\/a> (joint with J. Huang, D. Nualart and L. Viitasaari) <b>Stoch PDE: Anal Comp<\/b>. 8 (2020) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1903.02509\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1214\/20-AIHP1069\" target=\"_blank\">A Central Limit Theorem for the stochastic wave equation with fractional noise <\/a>(joint with F. Delgado-Vences and D. Nualart) <b>Ann. Inst. H. Poincar\u00e9 Probab. Statist.<\/b> 56 (2020) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1812.05019\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1090\/proc\/14557\" target=\"_blank\" rel=\"noreferrer noopener\">Almost sure convergence on chaoses<\/a> (joint with G. Poly) <b>\u00a0Proc. Amer. Math. Soc<\/b>. 147 (2019) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1809.02477\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1007\/s00440-020-00994-7\" target=\"_blank\">The probability of Intransitivity in Dice and Close Elections <\/a>(joint with\u00a0J.\u00a0H\u0105z\u0142a, E. Mossel, N. Ross) <b>Probab. Theory Relat. Fields<\/b>. 178 (2020) \u00a0<a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1804.00394v3\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/www.esaim-ps.org\/articles\/ps\/abs\/2019\/01\/ps170088\/ps170088.html\" target=\"_blank\">A Peccati-Tudor type theorem for Rademacher chaoses.<\/a> <b>ESAIM: PS<\/b> 23 (2019) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1708.05283\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1525312960\" target=\"_blank\">Fourth moment theorems on the Poisson space in any dimension<\/a> (joint with C. D\u00f6bler and A. Vidotto)\u00a0 <b>Electron. J. Probab.<\/b> 23 (2018) <a rel=\"noopener noreferrer\" href=\"https:\/\/arxiv.org\/abs\/1707.01889\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1007\/978-3-030-26391-1_14\" target=\"_blank\">Exchangeable pairs on Wiener chaos<\/a> (joint with I. Nourdin) Ch14 in: <b>High dimensional Probability VIII,<\/b> Progress in Probability 74. Edited by N. Gozlan and R. Lata\u0142a, K. Lounici, M. Madiman, Springer (2019) <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1704.02164#\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/wuwr.pl\/pms\/article\/view\/7008\" target=\"_blank\">Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization<\/a> (joint with A. Lechiheb, I. Nourdin and E. Haouala) <b>Probab. Math. Statist.<\/b> 38 (2018), no. 2, 271\u2013286\u00a0 <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1607.01166\" target=\"_blank\">arXiv link<\/a><\/li>\n<li><a rel=\"noreferrer noopener\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0304414916301521?via%3Dihub\" target=\"_blank\">Normal approximation and almost sure central limit theorem for non-symmetric Rademacher functionals<\/a>. <b>Stochastic Process. Appl.<\/b> 127 (2017), no. 5, 1622\u20131636 <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/1603.04661\" target=\"_blank\">arXiv link<\/a><\/li>\n<\/ol>\n<p style=\"text-align: left;\">Ph.D. thesis (2018): <a href=\"https:\/\/orbilu.uni.lu\/bitstream\/10993\/35536\/1\/Thesis_Guangqu_ZHENG%28PHD-FSTC-2018-26%29.pdf\">Recent developments around Malliavin-Stein approach &#8211; fourth moment phenomena via exchangeable pairs (pdf)<\/a> (defended on March 28, 2018, Universit\u00e9 du Luxembourg, advisor: Ivan Nourdin)<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/info.flagcounter.com\/sjUD\"><img src=\"https:\/\/s01.flagcounter.com\/count2\/sjUD\/bg_FFFFFF\/txt_000000\/border_CCCCCC\/columns_2\/maxflags_10\/viewers_0\/labels_0\/pageviews_0\/flags_0\/percent_0\/\" alt=\"Flag Counter\" border=\"0\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8230;Hi&#8230; [Pictures with Douby] From 2024 fall: Tenure-track assistant professor at Department of\u00a0 Mathematics and [&hellip;]<\/p>\n","protected":false},"author":23877,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"bu-landing","meta":[],"_links":{"self":[{"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/pages\/5"}],"collection":[{"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/users\/23877"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/comments?post=5"}],"version-history":[{"count":51,"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/pages\/5\/revisions"}],"predecessor-version":[{"id":367,"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/pages\/5\/revisions\/367"}],"wp:attachment":[{"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/media?parent=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}