
{"id":40971,"date":"2024-09-25T09:32:33","date_gmt":"2024-09-25T09:32:33","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%be%db%8c%da%86%d8%b4-%d8%aa%d8%ad%d9%84%db%8c%d9%84%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d9%85%d8%b9%db%8c\/"},"modified":"2024-09-25T09:32:34","modified_gmt":"2024-09-25T09:32:34","slug":"%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%be%db%8c%da%86%d8%b4-%d8%aa%d8%ad%d9%84%db%8c%d9%84%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d9%85%d8%b9%db%8c","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%be%db%8c%da%86%d8%b4-%d8%aa%d8%ad%d9%84%db%8c%d9%84%db%8c-%d8%a8%d8%b1%d8%a7%db%8c-%d9%85%d8%b9%db%8c\/","title":{"rendered":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u067e\u06cc\u0686\u0634 \u062a\u062d\u0644\u06cc\u0644\u06cc \u0628\u0631\u0627\u06cc \u0645\u0639\u06cc\u0627\u0631\u0647\u0627\u06cc \u0645\u0631\u0632\u06cc \u0641\u06cc\u0628\u0631 \u0648 \u062a\u062e\u0631\u06cc\u0628 \u0645\u062e\u0631\u0648\u0637\u06cc"},"content":{"rendered":"<table class=\"table table-striped table-hover\">\n<tbody>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>Analytic torsion for fibred boundary metrics and conic degeneration<\/td>\n<\/tr>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n<td>\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u067e\u06cc\u0686\u0634 \u062a\u062d\u0644\u06cc\u0644\u06cc \u0628\u0631\u0627\u06cc \u0645\u0639\u06cc\u0627\u0631\u0647\u0627\u06cc \u0645\u0631\u0632\u06cc \u0641\u06cc\u0628\u0631 \u0648 \u062a\u062e\u0631\u06cc\u0628 \u0645\u062e\u0631\u0648\u0637\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\n<td>J\u00f8rgen Olsen Lye, Boris Vertman<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>PDF<\/td>\n<\/tr>\n<tr>\n<td>\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u062a\u062d\u0648\u06cc\u0644\u06cc <\/td>\n<td>\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 <\/td>\n<td>\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u062d\u0648\u0647 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 <\/td>\n<td>\u062f\u0648 \u062a\u0627 \u0633\u0647 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634 (\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u062f\u0627\u0646\u0644\u0648\u062f\u06cc)<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n<td>38<\/td>\n<\/tr>\n<tr>\n<td>\u0644\u06cc\u0646\u06a9 \u062f\u0627\u0646\u0644\u0648\u062f \u0631\u0627\u06cc\u06af\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<td><a href=\"https:\/\/arxiv.org\/pdf\/2403.04402\">\u062f\u0627\u0646\u0644\u0648\u062f \u0645\u0642\u0627\u0644\u0647<\/a><\/td>\n<\/tr>\n<tr>\n<td>\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a  <\/td>\n<td>Differential Geometry,Analysis of PDEs,Spectral Theory,\u0647\u0646\u062f\u0633\u0647 \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 , \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 PDE \u0647\u0627 , \u0646\u0638\u0631\u06cc\u0647 \u0637\u06cc\u0641\u06cc ,<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a    <\/td>\n<td>Submitted 7 March, 2024; originally announced March 2024. , Comments: 38 pages,10 figures , MSC Class: 58J52; 35K08; 53C21<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc    <\/td>\n<td>\u0627\u0631\u0633\u0627\u0644 7 \u0645\u0627\u0631\u0633 2024 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0645\u0627\u0631\u0633 2024 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f \u060c \u0646\u0638\u0631\u0627\u062a: 38 \u0635\u0641\u062d\u0647 \u060c 10 \u0634\u06a9\u0644 \u060c \u06a9\u0644\u0627\u0633 MSC: 58J52 \u061b35K08 \u061b53C21<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u0627\u0632 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u062f\u0631 \u067e\u0627\u06cc\u06af\u0627\u0647 \u0647\u0627\u06cc \u0639\u0644\u0645\u06cc      <\/td>\n<td>\n            <a href=\"https:\/\/inspirehep.net\/arxiv\/2403.04402\">INSPIRE HEP<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/ui.adsabs.harvard.edu\/abs\/arXiv:2403.04402\">NASA ADS<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/scholar.google.com\/scholar_lookup?arxiv_id=2403.04402\">Google Scholar<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/api.semanticscholar.org\/arXiv:2403.04402\">Semantic Scholar<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/arxiv.org\/abs\/2403.04402>arXiv<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\r\n<table class=\"table table-striped table-hover table-primary\">\r\n    <tr>\r\n        <td>\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n    <\/tr>\r\n    <tr>\r\n        <td>\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u0628\u06cc\u0646 2 \u062a\u0627 3 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634<\/td>\r\n    <\/tr>\r\n\t<tr>\r\n        <td>\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647  <\/td>\r\n        <td>\u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\r\n    <\/tr>\r\n\t\t<tr>\r\n        <td>\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627  <\/td>\r\n        <td>\u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/td>\r\n    <\/tr>\r\n<\/table>\r\n\r\n\n<h2>\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n<p style=\"direction:ltr;\">We study the renormalized analytic torsion of complete manifolds with fibred boundary metrics, also referred to as $\u03c6$-metrics. We establish invariance of the torsion under suitable deformations of the metric, and establish a gluing formula. As an application, we relate the analytic torsions for complete $\u03c6$- and incomplete wedge-metrics. As a simple consequence we recover a result by Sher and Guillarmou about analytic torsion under conic degeneration.<\/p>\n<h2>\u0686\u06a9\u06cc\u062f\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n<p>\u0645\u0627 \u067e\u06cc\u0686 \u062e\u0648\u0631\u062f\u06af\u06cc \u062a\u062d\u0644\u06cc\u0644\u06cc \u062a\u062c\u062f\u06cc\u062f \u06cc\u0627\u0641\u062a\u0647 \u0627\u0632 \u0645\u0646\u06cc\u0641\u0648\u0644\u062f\u0647\u0627\u06cc \u06a9\u0627\u0645\u0644 \u0628\u0627 \u0645\u0639\u06cc\u0627\u0631\u0647\u0627\u06cc \u0645\u0631\u0632\u06cc \u0641\u06cc\u0628\u0631 \u060c \u06a9\u0647 \u0627\u0632 \u0622\u0646 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 $ \u03c6 $ $ \u0646\u06cc\u0632 \u06cc\u0627\u062f \u0645\u06cc \u0634\u0648\u062f \u060c \u0645\u0637\u0627\u0644\u0639\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645.\u0645\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u067e\u06cc\u0686\u0634 \u0631\u0627 \u062a\u062d\u062a \u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u0645\u0646\u0627\u0633\u0628 \u0645\u062a\u0631\u06cc\u06a9 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0686\u0633\u0628\u0627\u0646\u062f\u0647 \u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645.\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0628\u0631\u0646\u0627\u0645\u0647 \u060c \u0645\u0627 \u067e\u06cc\u0686\u0634 \u0647\u0627\u06cc \u062a\u062d\u0644\u06cc\u0644\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc $ $ \u03c6 $- \u0648 \u0646\u0627\u0642\u0635-\u0645\u062a\u0631\u06cc \u06af\u0648\u0647 \u0645\u0631\u062a\u0628\u0637 \u0645\u06cc \u06a9\u0646\u06cc\u0645.\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0646\u062a\u06cc\u062c\u0647 \u0633\u0627\u062f\u0647 \u060c \u0645\u0627 \u0646\u062a\u06cc\u062c\u0647 \u0627\u06cc \u0631\u0627 \u062a\u0648\u0633\u0637 \u0634\u0631 \u0648 \u06af\u06cc\u0644\u0631\u0645\u0648 \u062f\u0631 \u0645\u0648\u0631\u062f \u067e\u06cc\u0686 \u062e\u0648\u0631\u062f\u06af\u06cc \u062a\u062d\u0644\u06cc\u0644\u06cc \u062a\u062d\u062a \u0627\u0646\u062d\u0637\u0627\u0637 \u0645\u062e\u0631\u0648\u0637 \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n\r\n<table class=\"table table-striped table-hover table-primary\">\r\n    <tr>\r\n        <td>\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n    <\/tr>\r\n    <tr>\r\n        <td>\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u0628\u06cc\u0646 2 \u062a\u0627 3 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634<\/td>\r\n    <\/tr>\r\n\t<tr>\r\n        <td>\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647  <\/td>\r\n        <td>\u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\r\n    <\/tr>\r\n\t\t<tr>\r\n        <td>\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627  <\/td>\r\n        <td>\u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/td>\r\n    <\/tr>\r\n<\/table>\r\n\r\n\n","protected":false},"excerpt":{"rendered":"<p>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Analytic torsion for fibred boundary metrics and conic degeneration \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc \u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 [&hellip;]<\/p>\n","protected":false},"featured_media":27,"comment_status":"open","ping_status":"closed","template":"","meta":{"pmpro_default_level":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","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":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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