{"id":319,"date":"2016-09-08T08:53:09","date_gmt":"2016-09-08T07:53:09","guid":{"rendered":"http:\/\/mat.uab.cat\/~quer\/?page_id=319"},"modified":"2026-02-25T11:12:40","modified_gmt":"2026-02-25T09:12:40","slug":"research","status":"publish","type":"page","link":"https:\/\/mat.uab.cat\/web\/quer\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<p><strong>Research interests: <\/strong><\/p>\n<ul>\n<li>Stochastic analysis<\/li>\n<li>Stochastic partial differential equations<\/li>\n<li>Malliavin calculus<\/li>\n<li>Approximation methods for stochastic processes.<\/li>\n<\/ul>\n<p><strong>Preprints:<\/strong><\/p>\n<ol>\n<li>C-E. Br\u00e9hier, D. Cohen, L. Quer-Sardanyons and J. Ulander. Analysis of an exponential integrator for stochastic PDEs driven by Riesz noise. <a href=\"https:\/\/arxiv.org\/abs\/2602.17348\">arXiv:2602.17348<\/a><\/li>\n<li>R.M. Balan, J.J. Jim\u00e9nez and L. Quer-Sardanyons. Global well-posedness for hyperbolic SPDEs with non-Lipschitz coefficients driven by space-time L\u00e9vy white noise. <a href=\"https:\/\/arxiv.org\/abs\/2511.23420\">arXiv:2511.23420<\/a><\/li>\n<li>M. Jolis, S. Ortiz-Latorre and L. Quer-Sardanyons. Convergence in law for quasi-linear SPDEs. <a href=\"https:\/\/arxiv.org\/abs\/2505.22493\">arXiv:2505.22493<\/a><\/li>\n<\/ol>\n<p><strong>Publications:<\/strong><\/p>\n<ol>\n<li>R. M. Balan, D. Nualart, L. Quer-Sardanyons and G. Zheng. The hyperbolic Anderson model: Moment estimates of the Malliavin derivatives and applications. Stochastics and Partial Differential Equations: Analysis and Computations 10 (2022), 757-827.<\/li>\n<li>C. Marinelli and L. Quer-Sardanyons. Absolute continuity of solutions to reaction-diffusion equations with multiplicative noise. Potential Analysis 57 (2022), 243-261.<\/li>\n<li>L.M. Giordano, M. Jolis and L. Quer-Sardanyons. SPDEs with linear multiplicative fractional noise: continuity in law with respect to the Hurst index. Stochastic Processes and their Applications 130 (2020), no. 12, 7396-7430.<\/li>\n<li>X. Bardina, J.P. M\u00e1rquez and L. Quer-Sardanyons. Weak approximation of the complex Brownian sheet from a L\u00e9vy sheet and applications to SPDEs. Stochastic Processes and their Applications 130 (2020), no. 9, 5735-5767.<\/li>\n<li>R. Anton, D. Cohen and L. Quer-Sardanyons. A fully discrete approximation of the one-dimensional stochastic heat equation. IMA Journal of Numerical Analysis 40 (2020), no. 1, 247-284.<\/li>\n<li>L.M. Giordano, M. Jolis and L. Quer-Sardanyons. SPDEs with fractional noise in space: continuity in law with respect to the Hurst index. Bernoulli 26 (2020), no. 1, 352-386.<\/li>\n<li>R. Balan, L. Quer-Sardanyons and J. Song. Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise. Electronic Journal of Probability 24 (2019), paper no. 106, 1-43.<\/li>\n<li>R. Balan, L. Quer-Sardanyons and J. Song. H\u00f6lder continuity for the Parabolic Anderson Model with space-time homogeneous Gaussian noise. Acta Mathematica Scientia 39B (2019), no. 3, 717-730.<\/li>\n<li>R. Balan, M. Jolis, and L. Quer-Sardanyons.\u00a0 Intermittency for the Hyperbolic Anderson Model with rough noise in space. Stochastic Processes and their Applications 127 (2017), no. 7, 2316-2338.<\/li>\n<li>R. Balan, M. Jolis, and L. Quer-Sardanyons. SPDEs with rough noise in space: H\u00f6lder continuity of the solution. Statistics and Probability Letters 119 (2016), 310-316.<\/li>\n<li>D. Cohen and L. Quer-Sardanyons. A fully discrete approximation of the one-dimensional stochastic wave equation. IMA\u00a0Journal of Numerical Analysis 36 (2016), no. 1, 400-420.<\/li>\n<li>R. Balan, M. Jolis and L. Quer-Sardanyons. SPDEs with affine multiplicative fractional noise in space with index 1\/4&lt;H&lt;1\/2. Electronic Journal of Probability 20 (2015), no. 54, 36 pp.<\/li>\n<li>C. Marinelli, E. Nualart and L. Quer-Sardanyons. Existence and regularity of the density for the solution to semilinear dissipative parabolic SPDEs. Potential Analysis 39 (2013), no. 3, 287-311.<\/li>\n<li>A. Deya, M. Jolis and L. Quer-Sardanyons. The Stratonovich heat equation: a continuity result and weak approximations. Electronic Journal of Probability 18 (2013), no. 3, 1-34.<\/li>\n<li>L. Quer-Sardanyons. Gaussian upper density estimates for spatially homogeneous SPDEs. Malliavin Calculus and Stochastic Analysis: A Festschrift in Honor of David Nualart, Springer Proceedings in Mathematics &amp; Statistics 34, 2013.<\/li>\n<li>C. Marinelli and L. Quer-Sardanyons. Existence of weak solutions for a class of semilinear stochastic wave equations. SIAM Journal on Mathematical Analysis, 44 (2012), 906-925.<\/li>\n<li>L. Quer-Sardanyons and S. Tindel. Pathwise definition of second order SDEs. Stochastic Processes and their Applications 122 (2012), no. 2, 466-497.<\/li>\n<li>E. Nualart and L. Quer-Sardanyons. Gaussian estimates for the density of the non-linear stochastic heat equation in any space dimension. Stochastic Processes and their Applications 122 (2012), no. 1, 418-447.<\/li>\n<li>R.C. Dalang and L. Quer-Sardanyons. Stochastic integrals for spde&#8217;s: a comparison. Expositiones Mathematicae 29 (2011), 67-109.<\/li>\n<li>D. Nualart and L. Quer-Sardanyons. Optimal Gaussian density estimates for a class of stochastic equations with additive noise. Infinite Dimensional Analysis, Quantum Probability and Related Topics 14 (2011), no. 1, 25-34.<\/li>\n<li>X. Bardina, M. Jolis and L. Quer-Sardanyons. Weak convergence for the stochastic heat equation driven by Gaussian white noise. Electronic Journal of Probability 15 (2010), 1267-1295.<\/li>\n<li>D. Nualart and L. Quer-Sardanyons. Gaussian density estimates for solutions to quasi-linear stochastic partial differential equations. Stochastic Processes and their Applications 119 (2009), 3914-3938.<\/li>\n<li>D. Nualart and L. Quer-Sardanyons. Existence and smoothness of the density for spatially homogeneous SPDEs. Potential Analysis 27 (2007), 281-299.<\/li>\n<li>L. Quer-Sardanyons and S. Tindel. The 1-d stochastic wave equation driven by a fractional Brownian sheet. Stochastic Processes and their Applications 117 (2007), 1448-1472.<\/li>\n<li>L. Quer-Sardanyons and M. Sanz-Sol\u00e9. Space semi-discretisations for a stochastic wave equation. Potential Analysis 24 (2006), no. 4, 303-332.<\/li>\n<li>L. Quer-Sardanyons and M. Sanz-Sol\u00e9. A stochastic wave equation in dimension 3: smoothness of the law. Bernoulli\u00a0 10\u00a0 (2004),\u00a0 no. 1, 165-186.<\/li>\n<li>L. Quer-Sardanyons and M. Sanz-Sol\u00e9. Absolute continuity of the law of the solution to the 3-dimensional stochastic wave equation. Journal of Functional Analysis\u00a0 206 (2004), no. 1, 1-32.<\/li>\n<li>L. Quer-Sardanyons and M. Sanz-Sol\u00e9. Existence of density for the solution to the three-dimensional stochastic wave equation. RACSAM Rev. R. Acad. Cienc. Exactas F\u00eds. Nat. Ser. A Mat.\u00a0 97\u00a0 (2003),\u00a0 no. 1, 63-68.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Research interests: Stochastic analysis Stochastic partial differential equations Malliavin calculus Approximation methods for stochastic processes. Preprints: C-E. Br\u00e9hier, D. Cohen, L. Quer-Sardanyons and J. Ulander. Analysis of an exponential integrator for stochastic PDEs driven by Riesz noise. arXiv:2602.17348 R.M. Balan, J.J. Jim\u00e9nez and L. Quer-Sardanyons. Global well-posedness for hyperbolic SPDEs with non-Lipschitz coefficients driven by [&hellip;]<\/p>\n","protected":false},"author":51,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-319","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/quer\/wp-json\/wp\/v2\/pages\/319","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/quer\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/quer\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/quer\/wp-json\/wp\/v2\/users\/51"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/quer\/wp-json\/wp\/v2\/comments?post=319"}],"version-history":[{"count":4,"href":"https:\/\/mat.uab.cat\/web\/quer\/wp-json\/wp\/v2\/pages\/319\/revisions"}],"predecessor-version":[{"id":475,"href":"https:\/\/mat.uab.cat\/web\/quer\/wp-json\/wp\/v2\/pages\/319\/revisions\/475"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/quer\/wp-json\/wp\/v2\/media?parent=319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}