{"id":3092,"date":"2021-05-10T11:09:42","date_gmt":"2021-05-10T15:09:42","guid":{"rendered":"http:\/\/blogs.ams.org\/beyondreviews\/?p=3092"},"modified":"2021-05-10T13:50:17","modified_gmt":"2021-05-10T17:50:17","slug":"mathscinet-at-25-a-special-collection","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/beyondreviews\/2021\/05\/10\/mathscinet-at-25-a-special-collection\/","title":{"rendered":"MathSciNet at 25 &#8211; A Special Collection"},"content":{"rendered":"<p>MathSciNet<sup>\u00ae<\/sup> was launched 25 years ago, and soon became recognized as the best way to use the trusted, comprehensive resource for mathematics researchers that started over 80 years ago as Mathematical Reviews. \u00a0To celebrate, we are creating a special collection of exceptional reviews: <strong>MathSciNet at 25<\/strong>. The first group of 25 selected reviews is given below.\u00a0 Throughout 2021, we will be adding to the collection.<\/p>\n<p><!--more--><\/p>\n<p>MathSciNet indexes books and articles in more than 1,750 journals, with daily updates.\u00a0 It is home to the complete information from Mathematical Reviews<sup>\u00ae<\/sup>, adding tens of thousands of expertly curated reviews of research papers and books each year.\u00a0 MathSciNet is a rich, searchable database of reviews, abstracts, and bibliographic information spanning all areas of research in the mathematical sciences. \u00a0More than two and a half million direct links from MathSciNet ensure you reach the exact article you want to read.<\/p>\n<h3>A reminder: MathSciNet on the Road<\/h3>\n<p><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/remote-access.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-3111 alignleft\" src=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/remote-access.png\" alt=\"\" width=\"50\" height=\"50\" \/><\/a>You can access the complete database, including eight decades of Mathematical Reviews, through your institution\u2019s subscription. You can also take <a href=\"https:\/\/blogs.ams.org\/beyondreviews\/2015\/04\/28\/using-mathscinet-at-home-or-on-the-road\/\">MathSciNet on the road<\/a> with you via <strong>Remote Access<\/strong>.\u00a0 If you are currently connected to your institution\u2019s network, <a href=\"http:\/\/www.ams.org\/pairing\/pair_my_device.html\">pair your device<\/a>\u00a0now so that you have direct access to the complete collection of reviews from anywhere.<\/p>\n<h2>MathSciNet at 25 &#8211; 25 Exceptional Reviews<\/h2>\n<p>The selection is organized by the <a href=\"https:\/\/mathscinet.ams.org\/mathscinet\/msc\/msc2020.html\">2020 Mathematics Subject Classification<\/a>. \u00a0The title is linked to a freely available copy of each review.\u00a0 The MR number is linked to the item and review in MathSciNet, allowing you to search further in the database using this review as a starting point.\u00a0 Use the <a href=\"https:\/\/mathscinet.ams.org\/mathscinet\/freeTools.html?version=2\">Collaboration Distance Calculator<\/a> to discover how this bit of research connects with your own.<\/p>\n<h3><strong>03 Mathematical logic and foundations<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3890460.pdf\">Muchnik degrees and Medvedev degrees of randomness notions.<\/a><\/strong> <strong><a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3890460\">MR3890460<\/a><br \/>\n<\/strong><em>Reviewed by: Bj\u00f8rn Kjos-Hanssen<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3922788.pdf\">Iterating symmetric extensions.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3922788\">MR3922788<\/a><br \/>\n<\/strong><em>Reviewed by: Eleftherios C. Tachtsis<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3893283.pdf\">Berkeley cardinals and the structure of <em>L(V<\/em>\u03b4+1).<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3893283\">MR3893283<\/a><br \/>\n<\/strong><em>Reviewed by: Rupert McCallum<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3859203.pdf\">Another arithmetic of the even and the odd.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3859203\">MR3859203<\/a><br \/>\n<\/strong><em>Reviewed by: Victor V. Pambuccian<\/em><\/p>\n<h3><strong>14 Algebraic geometry<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3752648.pdf\">Foundations of rigid geometry. I.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3752648\">MR3752648<\/a><br \/>\n<\/strong><em>Reviewed by: Christopher David Lazda<\/em><\/p>\n<h3><strong>26 Real functions<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/1658022.pdf\">Fractional differential equations.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=1658022\">MR1658022<\/a><br \/>\n<\/strong><em>Reviewed by: Anatoly Kilbas<\/em><\/p>\n<h3><strong>33 Special functions<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/4040632.pdf\">Some new <em>q<\/em>-congruences for truncated basic hypergeometric series: even powers.<\/a><a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=4040632\">MR4040632<\/a><\/strong><br \/>\n<em>Reviewed by: Chen Wang<\/em><\/p>\n<h3><em>\u00a0<\/em><strong>34\u00a0 Ordinary differential equations<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/2218073.pdf\">Theory and applications of fractional differential equations.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=2218073\">MR2218073<\/a><br \/>\n<\/strong><em>Reviewed by: B. S. Rubin<\/em><\/p>\n<h3><strong>35 Partial differential equations<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3935863.pdf\">Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3935863\">MR3935863<\/a><br \/>\n<\/strong><em>Reviewed by: Seunghyeok Kim<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/1118699.pdf\">User\u2019s guide to viscosity solutions of second order partial differential equations.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=1118699\">MR1118699<\/a><br \/>\n<\/strong><em>Reviewed by: P. Szeptycki<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/2354493.pdf\">An extension problem related to the fractional Laplacian.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=2354493\">MR2354493<\/a><br \/>\n<\/strong><em>Reviewed by: Francesco Petitta<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3993416.pdf\">Superlinear Schr\u00f6dinger-Kirchhoff type problems involving the fractional <em>p<\/em>-Laplacian and critical exponent.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3993416\">MR3993416<\/a><br \/>\n<\/strong><em>Reviewed by: Vincenzo Ambrosio<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/2597943.pdf\">Partial differential equations.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=2597943\">MR2597943<\/a><br \/>\n<\/strong><em>Reviewed by: Diego M. Maldonado<\/em><\/p>\n<h3><strong>37 Dynamical systems and ergodic theory<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3834666.pdf\">Generating positive geometric entropy from recurrent leaves.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3834666\">MR3834666<\/a><br \/>\n<\/strong><em>Reviewed by: Carlos Meni\u00f1o Cot\u00f3n<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3852445.pdf\">Algorithmic aspects of branched coverings IV\/V. Expanding maps.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3852445\">MR3852445<\/a><br \/>\n<\/strong><em>Reviewed by: Kevin M. Pilgrim<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3856792.pdf\">Unique equilibrium states for geodesic flows in nonpositive curvature.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3856792\">MR3856792<\/a><br \/>\n<\/strong><em>Reviewed by: Boris Hasselblatt<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3791491.pdf\">Cantor minimal systems.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3791491\">MR3791491<\/a><br \/>\n<\/strong><em>Reviewed by: Olena Karpel<\/em><\/p>\n<h3><strong>47 Operator theory<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/710486.pdf\">Semigroups of linear operators and applications to partial differential equations.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=710486\">MR710486<\/a><br \/>\n<\/strong><em>Reviewed by: H. O. Fattorini<\/em><\/p>\n<h3><strong>53 Differential geometry <\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3971262.pdf\">A comprehensive introduction to sub-Riemannian geometry.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3971262\">MR3971262<\/a><br \/>\n<\/strong><em>Reviewed by: Luca Rizzi<\/em><\/p>\n<h3><strong>60 Probability theory and stochastic processes <\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/26286.pdf\">A mathematical theory of communication.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=26286\">MR26286<\/a><br \/>\n<\/strong><em>Reviewed by: J. L. Doob<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/4050102.pdf\">Liouville quantum gravity and the Brownian map I: the QLE(8\/3,0) metric.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=4050102\">MR4050102<\/a><br \/>\n<\/strong><em>Reviewed by: Juhan Aru<\/em><\/p>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3939571.pdf\">On Wishart and noncentral Wishart distributions on symmetric cones.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3939571\">MR3939571<\/a><br \/>\n<\/strong><em>Reviewed by: G\u00e9rard Letac<\/em><\/p>\n<h3><strong>68 Computer science<\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3831003.pdf\">Invariance principle on the slice.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3831003\">MR3831003<\/a><br \/>\n<\/strong><em>Reviewed by: Michele Zito<\/em><\/p>\n<h3><strong>81 Quantum theory <\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3832694.pdf\">Casimir squared correction to the standard rotator Hamiltonian for the O(<em>n<\/em>) sigma-model in the delta-regime.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3832694\">MR3832694<\/a><br \/>\n<\/strong><em>Reviewed by: J. A. van Casteren<\/em><\/p>\n<h3><strong>83 Relativity and gravitational theory <\/strong><\/h3>\n<p><strong><a href=\"http:\/\/blogs.ams.org\/beyondreviews\/files\/2021\/04\/3889027.pdf\">Exact solutions in three-dimensional gravity.<\/a> <a href=\"https:\/\/mathscinet.ams.org\/mathscinet-getitem?mr=3889027\">MR3889027<\/a><br \/>\n<\/strong><em>Reviewed by: Daniele Gregoris<\/em><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>","protected":false},"excerpt":{"rendered":"<p>MathSciNet\u00ae was launched 25 years ago, and soon became recognized as the best way to use the trusted, comprehensive resource for mathematics researchers that started over 80 years ago as Mathematical Reviews. \u00a0To celebrate, we are creating a special collection &hellip; <a href=\"https:\/\/blogs.ams.org\/beyondreviews\/2021\/05\/10\/mathscinet-at-25-a-special-collection\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" data-url=https:\/\/blogs.ams.org\/beyondreviews\/2021\/05\/10\/mathscinet-at-25-a-special-collection\/><\/div>\n","protected":false},"author":85,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[34,2,9],"tags":[],"class_list":["post-3092","post","type-post","status-publish","format-standard","hentry","category-anniversaries","category-exceptional-reviews","category-extra-content"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p6C2KK-NS","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/posts\/3092","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/users\/85"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/comments?post=3092"}],"version-history":[{"count":21,"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/posts\/3092\/revisions"}],"predecessor-version":[{"id":3176,"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/posts\/3092\/revisions\/3176"}],"wp:attachment":[{"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/media?parent=3092"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/categories?post=3092"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ams.org\/beyondreviews\/wp-json\/wp\/v2\/tags?post=3092"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}