Confluentes Mathematici最新文献_第7页

ÉLIMINATION DES QUANTIFICATEURS DANS LES PAIRES DE CORPS ALGÉBRIQUEMENT CLOS 消去代数闭域对中的量词

Confluentes Mathematici Pub Date : 2012-09-27 DOI: 10.1142/S179374421250003X

F. Delon

引用次数: 15

SINGULARITIES OF DIVERGENCE-FREE VECTOR FIELDS WITH VALUES INTO S1 OR S2: APPLICATIONS TO MICROMAGNETICS 值为s1或s2的无散度矢量场的奇异性:在微磁学中的应用

Confluentes Mathematici Pub Date : 2012-09-01 DOI: 10.1142/S1793744212300012

R. Ignat

引用次数: 14

Galois theories of q-difference equations: comparison theorems g -差分方程的伽罗瓦理论:比较定理

Confluentes Mathematici Pub Date : 2012-05-08 DOI: 10.5802/CML.66

L. D. Vizio, C. Hardouin

引用次数: 12

MODE D'EMPLOI DE LA THÉORIE CONSTRUCTIVE DES CHAMPS BOSONIQUES: avec une application aux chemins rugueux 玻色子场构造理论的使用说明:应用于粗糙路径

Confluentes Mathematici Pub Date : 2012-05-06 DOI: 10.1142/S179374421240004X

J. Unterberger

{"title":"MODE D'EMPLOI DE LA THÉORIE CONSTRUCTIVE DES CHAMPS BOSONIQUES: avec une application aux chemins rugueux","authors":"J. Unterberger","doi":"10.1142/S179374421240004X","DOIUrl":"https://doi.org/10.1142/S179374421240004X","url":null,"abstract":"Nous developpons dans cet article les principaux arguments constructifs utilises en theorie quantique des champs, en nous cantonnant aux theories bosoniques, pour lesquelles il n'existe pas de presentation generale recente. L'article s'adresse d'abord et avant tout a des mathematiciens ou physiciens mathematiciens connaissant les arguments de base de la theorie perturbative des champs, et souhaitant connaitre un cadre general dans lequel ils peuvent etre rendus rigoureux. Il fournit egalement un apercu d'une serie d'articles recents [50, 51] visant a donner une definition constructive des chemins rugueux et du calcul stochastique fractionnaire. We develop in this article the principal constructive arguments used in quantum field theory, limiting us to bosonic theories, for which there does not exist any recent general presentation. The article is primarily written for mathematicians or mathematical physicists knowing the basic arguments of quantum field theory, and desiring to discover a general framework in which they can be made rigorous. It also provides a glimpse of a recent series of articles [50, 51] whose aim is to give a constructive definition of rough paths and fractionary stochastic calculus.","PeriodicalId":52130,"journal":{"name":"Confluentes Mathematici","volume":"79 1","pages":"1240004"},"PeriodicalIF":0.0,"publicationDate":"2012-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79242139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 13

ESPACES DE BERKOVICH, POLYTOPES, SQUELETTES ET THÉORIE DES MODÈLES 伯克维奇空间，多面体，骨架和模型理论

Confluentes Mathematici Pub Date : 2012-03-29 DOI: 10.1142/S1793744212500077

A. Ducros

{"title":"ESPACES DE BERKOVICH, POLYTOPES, SQUELETTES ET THÉORIE DES MODÈLES","authors":"A. Ducros","doi":"10.1142/S1793744212500077","DOIUrl":"https://doi.org/10.1142/S1793744212500077","url":null,"abstract":"Let X be an analytic space over a non-Archimedean, complete field k and let f = (f1,…,fn) be a family of invertible functions on X. Let us recall two results. (1) If X is compact, the compact set |f|(X) is a polytope of the ℝ-vector space (we use the multiplicative notation); this is due to Berkovich in the locally algebraic case (his proof made use of de Jong's alterations), and has been extended to the general case by the author. The locally algebraic case could also have been deduced quite formally from a former result by Bieri and Groves, based upon explicit computations on Newton polygons. (2) If moreover X is Hausdorff and n-dimensional, and if φ denotes the morphism induced by f, then the pre-image of the skeleton Sn of under φ has a piecewise-linear structure making φ-1(Sn) → Sn a piecewise immersion; this is due to the author, and his proof also made use of de Jong's alterations. In this article, we improve (1) and (2), and give new proofs of both of them. Our proofs are based upon the model theory of algebraically closed, nontrivially valued fields and do not involve de Jong's alterations. Let us quickly explain what we mean by improving (1) and (2). • Concerning (1), we also prove that if x ∈ X, there exists a compact analytic neighborhood U of x, such that for every compact analytic neighborhood V of x in X, the germs of polytopes (|f|(V), |f|(x)) and (|f|(U), |f|(x)) coincide. • Concerning (2), we prove that the piecewise linear structure on φ-1(Sn) is canonical, that is, does not depend on the map we choose to write it as a pre-image of the skeleton; we thus answer a question which was asked to us by Temkin. Moreover, we prove that the pre-image of the skeleton \"stabilizes after a finite, separable ground field extension\", and that if φ1,…,φm are finitely many morphisms from X to , the union also inherits a canonical piecewise-linear structure.","PeriodicalId":52130,"journal":{"name":"Confluentes Mathematici","volume":"52 1","pages":"1250007"},"PeriodicalIF":0.0,"publicationDate":"2012-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90987777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 36

HYDRO-ELASTIC WAVES IN A COCHLEAR MODEL: NUMERICAL SIMULATIONS AND AN ANALYTICALLY REDUCED MODEL 耳蜗模型中的水弹性波:数值模拟和解析简化模型

Confluentes Mathematici Pub Date : 2011-11-20 DOI: 10.1142/S1793744211000382

W. Holmes, M. Jolly, J. Rubinstein

引用次数: 1

SINGULAR SHOCKS: RETROSPECTIVE AND PROSPECTIVE 单一冲击:回顾性和前瞻性

Confluentes Mathematici Pub Date : 2011-11-20 DOI: 10.1142/S1793744211000424

B. Keyfitz

引用次数: 19

STABILITY, CONVERGENCE AND ORDER OF THE EXTRAPOLATIONS OF THE RESIDUAL SMOOTHING SCHEME IN ENERGY NORM 能量范数下残差平滑格式外推的稳定性、收敛性和阶数

Confluentes Mathematici Pub Date : 2011-11-20 DOI: 10.1142/S1793744211000436

M. Ribot, M. Schatzman