Results 41 to 50 of about 14,137 (301)
Bernstein-Szeg\"o measures on the two dimensional torus [PDF]
We present a new viewpoint (namely, reproducing kernels) and new proofs for several recent results of J. Geronimo and H. Woerdeman on orthogonal polynomials on the two dimenional torus (and related subjects). In addition, we show how their results give a new proof of Ando's inequality via an equivalent version proven by Cole and Wermer.
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Moduli Spaces of Lumps on Real Projective Space [PDF]
Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement.
Muhamed, Abera A +3 more
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Meromorphic mappings of torus onto the Riemann sphere
The meromorphic mappings of the two dimensional torus onto the Riemann sphere are studied. Their connections with loxodromic meromorphic functions in the punctured plane are considered.
A. Ya. Khrystiyanyn, A. A. Kondratyuk
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Computing one-dimensional global manifolds of Poincaré maps by continuation [PDF]
We present an algorithm to compute one-dimensional stable and unstable manifolds of saddle periodic orbits in a Poincaré section. The computation is set up as a boundary value problem by restricting the beginning and end points of orbit segments to the ...
England, James +6 more
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We compute the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. These are Euclidean wormholes, which smoothly interpolate between two asymptotically Euclidean AdS3
Jordan Cotler, Kristan Jensen
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BMS modular diaries: torus one-point function
Two dimensional field theories invariant under the Bondi-Metzner-Sachs (BMS) group are conjectured to be dual to asymptotically flat spacetimes in three dimensions.
Arjun Bagchi +3 more
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Dehn surgeries and negative-definite four-manifolds [PDF]
Given a knot <i>K</i> in the three-sphere, we address the question: Which Dehn surgeries on <i>K</i> bound negative-definite four-manifolds?
Strle, Sašo, Owens, Brendan
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Remarks on time dependent periodic Navier-Stokes flows on a two-dimensional torus [PDF]
This note is a continuation of the earlier paper [Chen, Z. M., Price, W. G.: Time dependent periodic Navier–Stokes flows on a two-dimensional torus. Commun. Math. Phys.
Chen, Zhi-Min, Price, W. Geraint
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The Topological Classification of Diffeomorphisms of the Two-Dimensional Torus with an Orientable Attractor [PDF]
This paper is devoted to the topological classification of structurally stable diffeomorphisms of the two-dimensional torus whose nonwandering set consists of an orientable one-dimensional attractor and finitely many isolated source and saddle periodic points, under the assumption that the closure of the union of the stable manifolds of isolated ...
Grines, V. Z. +2 more
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The construction of Boehmians on a manifold requires a commutative convolution structure. We present such constructions in two specific cases: an N-dimensional torus and an N-dimensional sphere. Then we formulate conditions under which a construction of
Piotr Mikusiński
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