315 records matched your query       

02923aam a2200361 i 4500
001 444508A0440211EF98CC15ED37ECA4DB
003 SILO
005 20240717010108
008 240424t20242024fr a   f b    000 0 eng d
020    $a 9782856299852
020    $a 2856299857
035    $a (OCoLC)1431124951
040    $a HVC $b eng $e rda $c HVC $d OCLCQ $d CGU $d WTU $d IWA $d SILO
041 1  $a eng $b fre
100 1  $a Dario, Paul $d 1992- $e author.
245 10 $a Massless phases for the villain model in d ≥ 3 / $c Paul Dario & Wei Wu.
246 3  $a Massless phases for the villain model in d≥3
264  1 $a Paris : $b Société mathématique de France, $c 2024.
300    $a viii, 217 pages : $b illustrations ; $c 24 cm.
490 1  $a Astérisque, $x 0303-1179 ; $v 447
504    $a Includes bibliographic references (pages 211-217).
505 0  $a Introduction -- Preliminaries -- Duality and Helffer-Sjöstrand representation -- First-order expansion of the two-point function: overview of the proof -- Regularity theory for low temperature dual Villain model -- Quantitative convergence of the subadditive quantities -- Quantitative homogenization of the Green's matrix -- First-order expansion of the two-point function: technical lemmas -- A. List of notation and preliminary results -- B. Multiscale Poincaré inequality -- C. Basic estimates on discrete convolutions.
520    $a "A major open question in statistical mechanics, known as the Gaussian spin wave conjecture, predicts that the low temperature phase of the Abelian spin systems with continuous symmetry behave like Gaussian free fields. In this paper we consider the classical Villain rotator model in Zd, d ≥ 3 at sufficiently low temperature, and prove that the truncated two-point function decays asymptotically as SxS2−d, with an algebraic rate of convergence. We also obtain the same asymptotic decay separately for the transversal two-point functions. This quantifies the spontaneous magnetization result for the Villain model at low temperatures and constitutes a first step toward a more precise understanding of the spin-wave conjecture. We believe that our method extends to finite range interactions, and to other Abelian spin systems and Abelian gauge theory in d ≥ 3. We also develop a quantitative perspective on homogenization of uniformly convex gradient Gibbs measures"--Abstract.
546    $a In English; abstract also in French.
650  0 $a Spin waves $x Mathematical models.
650  0 $a Mathematical physics. $0 https://id.loc.gov/authorities/subjects/sh85082129
700 1  $a Wu, Wei $c (Mathematician), $e author.
773 18 $w 990002617290102756 $t Astérisque. $g no:v. 447,2024
830  0 $a Astérisque ; $0 https://id.loc.gov/authorities/names/n86716119 $v v. 447.
941    $a 1
952    $l USUX851 $d 20240717023100.0
956    $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=444508A0440211EF98CC15ED37ECA4DB
994    $a C0 $b IWA