{"id":430,"date":"2025-12-10T22:15:49","date_gmt":"2025-12-10T22:15:49","guid":{"rendered":"https:\/\/atmos.ucla.edu\/mchekroun\/?page_id=430"},"modified":"2025-12-10T22:17:07","modified_gmt":"2025-12-10T22:17:07","slug":"research-monographs","status":"publish","type":"page","link":"https:\/\/atmos.ucla.edu\/mchekroun\/research-monographs\/","title":{"rendered":"Research Monographs"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">M.\u00a0D. Chekroun, H. Liu, and S. Wang (2015):\u00a0<a href=\"http:\/\/www.springer.com\/mathematics\/dynamical+systems\/book\/978-3-319-12495-7\">Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for\u00a0Nonlinear SPDEs I.<\/a><\/h2>\n\n\n\n<p>SpringerBriefs in Mathematics. Springer, New York.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"153\" height=\"232\" src=\"https:\/\/atmos.ucla.edu\/mchekroun\/wp-content\/uploads\/sites\/25\/2025\/12\/spde_i.jpg\" alt=\"\" class=\"wp-image-431\" title=\"\"\/><\/figure>\n\n\n\n<p><strong><a href=\"https:\/\/zbmath.org\/?q=an:1319.60002\" target=\"_blank\" rel=\"noreferrer noopener\">zbMATH Review<\/a><\/strong><\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">M.\u00a0D. Chekroun, H. Liu, and S. Wang (2015):\u00a0<a href=\"http:\/\/www.springer.com\/mathematics\/dynamical+systems\/book\/978-3-319-12519-0\" target=\"_blank\" rel=\"noreferrer noopener\">Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations: Stochastic Manifolds for Nonlinear SPDEs II.<\/a>\u00a0SpringerBriefs in Mathematics, Springer, New York.<\/h2>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">&nbsp;&nbsp;&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dept.atmos.ucla.edu\/sites\/default\/files\/styles\/os_files_medium\/public\/mchekroun\/files\/spde_ii.jpg?m=1524862578&amp;itok=1fvc18Vn\" width=\"153\" height=\"232\" alt=\"\"><\/h2>\n\n\n\n<p><strong><a href=\"https:\/\/zbmath.org\/?q=an:1331.37009\" target=\"_blank\" rel=\"noreferrer noopener\">From zbMATH Review&nbsp;1331.37009, 2016:<\/a><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8220;The monograph is well written and contains novel and important results for researchers in the field of analytical or numerical random dynamical systems and SPDEs. The clarity of presentation as well as the detailed list of references, makes it also appealing to research students as well as to newcomers to the field.&#8221;<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>M.\u00a0D. Chekroun, H. Liu, and S. Wang (2015):\u00a0Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for\u00a0Nonlinear SPDEs I. SpringerBriefs in Mathematics. Springer, New York.\u00a0 zbMATH Review M.\u00a0D. Chekroun, H. Liu, and S. Wang (2015):\u00a0Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations: Stochastic Manifolds for Nonlinear SPDEs II.\u00a0SpringerBriefs in Mathematics, Springer, New York. &nbsp;&nbsp;&nbsp; From zbMATH Review&nbsp;1331.37009, 2016:<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-430","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/atmos.ucla.edu\/mchekroun\/wp-json\/wp\/v2\/pages\/430","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/atmos.ucla.edu\/mchekroun\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/atmos.ucla.edu\/mchekroun\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/atmos.ucla.edu\/mchekroun\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/atmos.ucla.edu\/mchekroun\/wp-json\/wp\/v2\/comments?post=430"}],"version-history":[{"count":3,"href":"https:\/\/atmos.ucla.edu\/mchekroun\/wp-json\/wp\/v2\/pages\/430\/revisions"}],"predecessor-version":[{"id":434,"href":"https:\/\/atmos.ucla.edu\/mchekroun\/wp-json\/wp\/v2\/pages\/430\/revisions\/434"}],"wp:attachment":[{"href":"https:\/\/atmos.ucla.edu\/mchekroun\/wp-json\/wp\/v2\/media?parent=430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}