{"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":"2026-08-18T10:00:33","modified_gmt":"2026-08-18T14:00:33","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 2026\/27 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;\">Advising at BU<\/h3>\n<div class=\"MuiGrid-root-179 MuiGrid-item-181 MuiGrid-grid-xs-12-225\" style=\"text-align: left;\">\n<p><strong>For current BU undergraduate\/Master students:<\/strong> you are expected to know real analysis and probability theory (equivalent to \u00a0<a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-711\/\">MA711<\/a>, <a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-783\/\" target=\"_blank\" rel=\"noopener\">MA783<\/a>\u00a0 at BU); as of now, I have suitable projects on Poisson point processes (<a href=\"https:\/\/stoch.math.kit.edu\/img\/Last\/lastpenrose2017.pdf\" target=\"_blank\" rel=\"noopener\">ref1<\/a>), Stein&#8217;s method (<a href=\"https:\/\/arxiv.org\/abs\/1109.1880\" target=\"_blank\" rel=\"noopener\">ref2<\/a>). Please do not hesitate to contact me (with your intention and a brief CV) if you are interested.<\/p>\n<p><strong>For current BU PhD students:<\/strong> you are expected to be interested in stochastic analysis.<\/p>\n<h3 style=\"text-align: left;\">Teaching at BU<\/h3>\n<p><strong>2026 Fall: (Link\u2192<a href=\"https:\/\/sites.bu.edu\/gzheng90\/teaching\/\">previous teaching<\/a>)<\/strong><\/p>\n<\/div>\n<div>\n<div class=\"MuiGrid-root-179 MuiGrid-item-181 MuiGrid-grid-xs-12-225\" style=\"text-align: left;\">\n<p><a href=\"https:\/\/www.bu.edu\/academics\/grs\/courses\/cas-ma-783\/\" target=\"_blank\" rel=\"noopener\">CASMA 783<\/a>: Advanced Stochastic Processes<\/p>\n<ul>\n<li class=\"MuiGrid-root-179 jss426 MuiGrid-container-180 MuiGrid-wrap-xs-nowrap-186\">Lecture Time:\u00a0 TuTh<em><span style=\"text-decoration: underline;\"> 11:00AM &#8211; 12:15PM<\/span><\/em><\/li>\n<li class=\"MuiGrid-root-179 jss426 MuiGrid-container-180 MuiGrid-wrap-xs-nowrap-186\">Classroom: COM 213 (640 Commonwealth Avenue)<\/li>\n<li>Office hours: TuTh 9:30-10:45PM at <strong>CDS 429; <\/strong>email me for additional time slots.<\/li>\n<li>Textbook (recommended): &#8220;<a href=\"https:\/\/link.springer.com\/book\/10.1007\/978-3-319-31089-3\" target=\"_blank\" rel=\"noopener\">Brownian Motion, Martingales, and Stochastic Calculus<\/a>&#8221; by J.-F. Le Gall.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div style=\"text-align: left;\"><span>More information about the course will be available at <\/span><a href=\"http:\/\/learn.bu.edu\/\">http:\/\/learn.bu.edu\/<\/a><\/div>\n<hr \/>\n<h3><span style=\"color: #ff6600;\">\u2b50\ufe0f Leiden Declaration on AI and Mathematics<\/span>: <a href=\"https:\/\/leidendeclaration.ai\/\" target=\"_blank\" rel=\"noopener\">https:\/\/leidendeclaration.ai\/<\/a><\/h3>\n<h3><span style=\"color: #ff6600;\">\u2b50\ufe0f Terence Tao on AI in mathematics (and beyond): <a href=\"https:\/\/teorth.github.io\/tao-web\/ai-views.html\" target=\"_blank\" rel=\"noopener\">https:\/\/teorth.github.io\/tao-web\/ai-views.html<\/a><\/span><\/h3>\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<\/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>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><span class=\"C9DxTc \"><\/span><\/li>\n<li>Breuer-Major-Donsker invariance principle (with P. Mansanarez and G. Poly) <a href=\"https:\/\/arxiv.org\/abs\/2607.11469\" target=\"_blank\" rel=\"noopener\">arXiv link<\/a><\/li>\n<li>A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core <a href=\"https:\/\/arxiv.org\/abs\/2607.28742\" target=\"_blank\" rel=\"noopener\">arXiv link<\/a><\/li>\n<li>Four-moment criteria for Poisson convergence on Poisson and Rademacher chaoses <a href=\"https:\/\/arxiv.org\/abs\/2608.12451\" target=\"_blank\" rel=\"noopener\">arXiv link<\/a><\/li>\n<li><span class=\"C9DxTc \">Coalescence and fluctuations of O&#8217;Connell&#8211;Yor polymers via the free-energy correlation profile (with<span>\u00a0<\/span><\/span><span class=\"C9DxTc aw5Odc \">F. Rassoul-Agha<\/span><span class=\"C9DxTc \">,<span>\u00a0<\/span><\/span><span class=\"C9DxTc aw5Odc \">X. Shen,<\/span><span class=\"C9DxTc \"><span>\u00a0<\/span>and R. Zhang)<\/span><\/li>\n<li>Hyperbolic and parabolic Anderson model driven by spatial rough fractional Gaussian fields (with X. Wang and P. Xia)<\/li>\n<li><span class=\"C9DxTc \"><span>Second-order Gaussian\u00a0 Poincar\u00e9 inequalities in Banach spaces (with S. Bourguin, S. Campese, and A. Vidotto)\u00a0<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p style=\"text-align: left;\"><strong>Selected Publications (for all &#8211;&gt; <a href=\"https:\/\/sites.bu.edu\/gzheng90\/publication-list\/\" target=\"_blank\" rel=\"noopener\">Pub. list<\/a>)<\/strong><\/p>\n<ol style=\"text-align: left;\" reversed=\"\">\n<li>Almost sure central limit theorems via chaos expansions and related results (with L. Maini and M. Rossi) to appear in: <strong>Trans. Amer. Math. Soc.; <\/strong><a href=\"https:\/\/arxiv.org\/abs\/2502.00759\" target=\"_blank\" rel=\"noopener noreferrer\">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:\/\/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:\/\/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>[<span><span class=\"boxpad\"><span class=\"mord\"><span class=\"mord text\">Lemma 2.5(i) is wrong as stated; Lemma 2.5(ii) is correct and does not need (i).]<\/span><\/span><\/span><\/span><span><span class=\"pstrut\"><\/span><span class=\"stretchy fbox\"><\/span><\/span><\/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\/10.1007\/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\/10.1214\/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:\/\/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 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:\/\/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<\/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":412,"href":"https:\/\/sites.bu.edu\/gzheng90\/wp-json\/wp\/v2\/pages\/5\/revisions\/412"}],"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}]}}