{"id":1601,"date":"2024-03-18T22:05:09","date_gmt":"2024-03-18T21:05:09","guid":{"rendered":"https:\/\/www.ub.edu\/dynsys\/?page_id=1601"},"modified":"2026-01-02T10:49:26","modified_gmt":"2026-01-02T09:49:26","slug":"coauthors","status":"publish","type":"page","link":"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/research\/coauthors\/","title":{"rendered":"Coauthors"},"content":{"rendered":"\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-buttons is-horizontal is-content-justification-space-between is-nowrap is-layout-flex wp-container-core-buttons-is-layout-646edd19 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-bottom:0\">HOME<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/brief-curriculum\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-bottom:0\">TRAJECTORY<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/research\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-bottom:0\">RESEARCH<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/teaching\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-bottom:0\">tEACHING<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/catalonia\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-right:var(--wp--preset--spacing--40);padding-bottom:0;padding-left:var(--wp--preset--spacing--40)\">CATALONIA<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-ast-global-color-6-color has-text-color has-link-color wp-elements-1aab5ab2df9661245f632b0100fc250c\" style=\"font-style:normal;font-weight:300\">COAUTHORS<\/h2>\n\n\n\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-cover alignfull\" style=\"margin-top:0px;margin-bottom:0px;padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;min-height:214px;aspect-ratio:unset;\"><img loading=\"lazy\" decoding=\"async\" width=\"3000\" height=\"3000\" class=\"wp-block-cover__image-background wp-image-2120\" alt=\"\" src=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/tonis_family_par.png\" data-object-fit=\"cover\" srcset=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/tonis_family_par.png 3000w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/tonis_family_par-300x300.png 300w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/tonis_family_par-1024x1024.png 1024w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/tonis_family_par-150x150.png 150w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/tonis_family_par-768x768.png 768w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/tonis_family_par-1536x1536.png 1536w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/tonis_family_par-2048x2048.png 2048w\" sizes=\"auto, (max-width: 3000px) 100vw, 3000px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-0 has-background-dim\" style=\"background-color:#a22c1e\"><\/span><div class=\"wp-block-cover__inner-container is-layout-constrained wp-container-core-cover-is-layout-d852a5ff wp-block-cover-is-layout-constrained\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n<\/div><\/div>\n\n\n\n<div style=\"height:17px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-layout-constrained wp-container-core-group-is-layout-7c846e87 wp-block-group-is-layout-constrained\">\n<p class=\"has-ast-global-color-6-color has-text-color has-link-color wp-elements-e5d88c758af29c9a2f2943bc68239ebc wp-block-paragraph\">Next table shows all my coauthors, to whom I thank for all.  <\/p>\n\n\n\n<p class=\"has-ast-global-color-6-color has-text-color has-link-color wp-elements-60a941cc30e580ab21fb556df90809d0 wp-block-paragraph\">For each coauthor <em>x<\/em>, I give his (his or her) coordinates <em>(a,b)<\/em>. The first coordinate just shows the number of publications we have together. The second coordinate is defined as follows. If I have one paper with coauthor <em>x<\/em> and this paper is coauthored by <em>n<\/em> authors (without counting me) then his weight for this paper is <em>1\/n<\/em>. The number <em>b<\/em> for author <em>x<\/em> is just the sum of these numbers over all the papers we have worked together. For instance I have just one paper in total with Mar\u00eda Jes\u00fas \u00c1lvarez and the paper has another coauthor (Antoni Ferragut) so <em>b=1\/2<\/em> in this case. By construction the sum over all <em>b<\/em>&#8216;s should give the total number of my publications minus one (I have published one paper alone). Updated: 1st January, 2026.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-7387b849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Mar\u00eda Jes\u00fas \u00c1lvarez<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Krzysztof Baranski<\/td><td>(8,17\/6)<\/td><\/tr><tr><td>Jordi Caball\u00e9<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Beatriz Campos<\/td><td>(2,2\/3)<\/td><\/tr><tr><td>Jordi Canela<\/td><td>(2,5\/6)<\/td><\/tr><tr><td>Figen \u00c7ilingir<\/td><td>(1,1)<\/td><\/tr><tr><td>Robert L. Devaney (***)<\/td><td>(5,10\/3)<\/td><\/tr><tr><td>Evdoridou Vasiliki<\/td><td>(2,2\/3)<\/td><\/tr><tr><td>N\u00faria Fagella<\/td><td>(14,11\/2)<\/td><\/tr><tr><td>Antoni Ferragut<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Ernest Fontich<\/td><td>(2,1)<\/td><\/tr><tr><td>Mar\u00eda \u00c1ngeles de Frutos (*)<\/td><td>(3,2)<\/td><\/tr><tr><td>Laura Gardini<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Antonio Garijo<\/td><td>(18,59\/6)<\/td><\/tr><tr><td>Armengol Gasull<\/td><td>(5,5\/2)<\/td><\/tr><tr><td>S\u00e9bastien Godillon<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Antoni Guillamon<\/td><td>(1,1\/4)<\/td><\/tr><tr><td>Carlos Gutierrez (**)<\/td><td>(1,1\/3)<\/td><\/tr><tr><td>Hamid Hamoudi<\/td><td>(2,1)<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Boguslawa Karpinska<\/td><td>(7,7\/3)<\/td><\/tr><tr><td>Kirill Lazebnik<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Jaume Llibre<\/td><td>(7,32\/7)<\/td><\/tr><tr><td>Elisabetta Miqueti<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>M\u00f3nica Moreno-Rocha<\/td><td>(3,3\/2)<\/td><\/tr><tr><td>Zbigniew Nitecki<\/td><td>(1,1)<\/td><\/tr><tr><td>Joaquim Ortega-Cerd\u00e0<\/td><td>(1,1\/4)<\/td><\/tr><tr><td>Dan A. Paraschiv<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Clara Ponsat\u00ed<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Lasse Rempe<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>J\u00f3zsef S\u00e1kovics<\/td><td>(1,1\/2)<\/td><\/tr><tr><td>Douglas S. Shafer<\/td><td>(2,1)<\/td><\/tr><tr><td>David Sixsmith<\/td><td>(1,1\/3)<\/td><\/tr><tr><td>Jordi Taix\u00e9s<\/td><td>(2,1)<\/td><\/tr><tr><td>Marco Antonio Teixeira<\/td><td>(1,1\/3)<\/td><\/tr><tr><td>Joan Torregrosa<\/td><td>(1,1\/4)<\/td><\/tr><tr><td>Jordi Villadelprat<\/td><td>(3,5\/2)<\/td><\/tr><tr><td>Pura Vindel<\/td><td>(2,2\/3)<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group is-layout-constrained wp-container-core-group-is-layout-7c846e87 wp-block-group-is-layout-constrained\">\n<p class=\"has-ast-global-color-6-color has-text-color has-link-color wp-elements-0f789e9899da142ad8054ff0c62a2bc2 wp-block-paragraph\">(*) She passed away on 2 December 2012. She was a coauthor but more important a very close friend. I will be forever indebted to her for all she taught me about economics and life. I wrote a letter in memorial (<a href=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/03\/maf_web.pdf\" data-type=\"link\" data-id=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/03\/maf_web.pdf\">Catalan<\/a> and <a href=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/03\/maf_web_castella.pdf\" data-type=\"link\" data-id=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/03\/maf_web_castella.pdf\">Spanish<\/a>).<\/p>\n\n\n\n<p class=\"has-ast-global-color-6-color has-text-color has-link-color wp-elements-bdd5bdc5b7525af3293eee899756e384 wp-block-paragraph\">(**) He passed away on 3 December 2008. The first time I met Carlos I was a graduate student at UAB and he explained in the seminar one of his best results on the Jacobian Conjecture. During the years I met him from time to time but, amazingly, we did not meet while doing the unique paper we have in collaboration. In any event I remember one conversation with Jaume Llibre who told me that Carlos was one of the best mathematician he ever met (and clearly he has met many).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(***) He passed away on 16 November 2025. He was my &#8220;advisor&#8221; while I was a postdoc at Boston University. <\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>COAUTHORS Next table shows all my coauthors, to whom I thank for all. For each coauthor x, I give his (his or her) coordinates (a,b). The first coordinate just shows the number of publications we have together. The second coordinate is defined as follows. If I have one paper with coauthor x and this paper [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":1376,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"disabled","ast-banner-title-visibility":"disabled","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"disabled","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-1601","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/1601","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/comments?post=1601"}],"version-history":[{"count":27,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/1601\/revisions"}],"predecessor-version":[{"id":3553,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/1601\/revisions\/3553"}],"up":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/1376"}],"wp:attachment":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/media?parent=1601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}