On n-circled -domains of holomorphy
Marek Jarnicki, Peter Pflug (1997)
Annales Polonici Mathematici
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We present various characterizations of n-circled domains of holomorphy with respect to some subspaces of .
Marek Jarnicki, Peter Pflug (1997)
Annales Polonici Mathematici
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We present various characterizations of n-circled domains of holomorphy with respect to some subspaces of .
A. Zięba (1972)
Colloquium Mathematicae
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Edgar Lee Stout (2006)
Annales Polonici Mathematici
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We construct a domain of holomorphy in , N≥ 2, whose envelope of holomorphy is not diffeomorphic to a domain in .
A. Mézard, M. Romagny, D. Tossici (2013)
Annales de l’institut Fourier
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Let be a discrete valuation ring of mixed characteristics , with residue field . Using work of Sekiguchi and Suwa, we construct some finite flat -models of the group scheme of -th roots of unity, which we call . We carefully set out the general framework and algebraic properties of this construction. When is perfect and is a complete totally ramified extension of the ring of Witt vectors , we provide a parallel study of the Breuil-Kisin modules of finite flat models of ,...
Wei-Feng Xuan, Wei-Xue Shi (2016)
Commentationes Mathematicae Universitatis Carolinae
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We prove that, assuming , if is a space with -calibre and a zeroset diagonal, then is submetrizable. This gives a consistent positive answer to the question of Buzyakova in Observations on spaces with zeroset or regular -diagonals, Comment. Math. Univ. Carolin. 46 (2005), no. 3, 469–473. We also make some observations on spaces with -calibre.
Radim Hošek (2016)
Applications of Mathematics
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We give a constructive proof that for any bounded domain of the class there exists a strongly regular family of boundary-fitted tetrahedral meshes. We adopt a refinement technique introduced by Křížek and modify it so that a refined mesh is again boundary-fitted. An alternative regularity criterion based on similarity with the Sommerville tetrahedron is used and shown to be equivalent to other standard criteria. The sequence of regularities during the refinement process is estimated...
Alexander B. Goncharov, Richard Kenyon (2013)
Annales scientifiques de l'École Normale Supérieure
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We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type, which we call a. The phase space of the classical system contains, as an open dense subset, the moduli space of line bundles with connections on the graph . The sum of Hamiltonians is essentially the partition function of the dimer model. We say that two such graphs and areif the Newton polygons of the corresponding partition functions coincide up to translation....
Bernard Helffer, Thomas Hoffmann-Ostenhof (2013)
Journal of the European Mathematical Society
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Given a bounded open set in (or in a Riemannian manifold) and a partition of by open sets , we consider the quantity where is the ground state energy of the Dirichlet realization of the Laplacian in . If we denote by the infimum over all the -partitions of , a minimal -partition is then a partition which realizes the infimum. When , we find the two nodal domains of a second eigenfunction, but the analysis of higher ’s is non trivial and quite interesting. In this...
M. Prizzi, K. P. Rybakowski (2003)
Studia Mathematica
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We study a family of semilinear reaction-diffusion equations on spatial domains , ε > 0, in lying close to a k-dimensional submanifold ℳ of . As ε → 0⁺, the domains collapse onto (a subset of) ℳ. As proved in [15], the above family has a limit equation, which is an abstract semilinear parabolic equation defined on a certain limit phase space denoted by . The definition of , given in the above paper, is very abstract. One of the objectives of this paper is to give more manageable...
Joseph H.G. Fu (2013)
Actes des rencontres du CIRM
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The normal cycle of a singular subset of a smooth manifold is a basic tool for understanding and computing the curvature of . If is replaced by a singular function on then there is a natural companion notion called the of , which has been introduced by the author and by R. Jerrard. We discuss a few fundamental facts and open problems about functions that admit gradient cycles, with particular attention to the first nontrivial dimension .
Nicolas Lerner (2006)
Bulletin de la Société Mathématique de France
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For a principal type pseudodifferential operator, we prove that condition implies local solvability with a loss of 3/2 derivatives. We use many elements of Dencker’s paper on the proof of the Nirenberg-Treves conjecture and we provide some improvements of the key energy estimates which allows us to cut the loss of derivatives from for any (Dencker’s most recent result) to 3/2 (the present paper). It is already known that condition doesimply local solvability with a loss of 1...
Kyong T. Hahn, Josephine Mitchell (1973)
Annales Polonici Mathematici
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Jeremy Kahn, Mikhail Lyubich (2008)
Annales scientifiques de l'École Normale Supérieure
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A decoration of the Mandelbrot set is a part of cut off by two external rays landing at some tip of a satellite copy of attached to the main cardioid. In this paper we consider infinitely renormalizable quadratic polynomials satisfying the decoration condition, which means that the combinatorics of the renormalization operators involved is selected from a finite family of decorations. For this class of maps we prove bounds. They imply local connectivity of the corresponding Julia...
Wojciech M. Zajączkowski
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CONTENTS1. Introduction.......................................................................52. Notation and auxiliary results............................................93. Statement of the problem (1.1)-(1.3)..............................204. The problem (3.14).........................................................225. Auxiliary results in ...............................................346. Existence of solutions of (3.14) in ............417. Green function................................................................528....
Yun Feng, Wensong Lin (2016)
Mathematica Bohemica
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A vertex -coloring of a graph is a if for every edge , where and denote the multisets of colors of the neighbors of and , respectively. The minimum for which has a multiset -coloring is the of . For an integer , the - of a graph , , is the graph obtained from by adding, for each vertex in , new neighbors which are end-vertices. In this paper, the multiset chromatic numbers are determined for - of all complete graphs, the regular complete...