Results 11 to 20 of about 16,140 (179)
Poincaré problem with measurable data for semilinear Poisson equation in the plane
Доповiдi Нацiональної академiї наук України, 2022 We study the Poincaré boundary-value problem with measurable in terms of the logarithmic capacity boundary data for semilinear Poisson equations defined either in the unit disk or in Jordan domains with quasihyperbolic boundary condition.
V.Ya. Gutlyanskiĭ +3 more
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The Siegel–Klein Disk: Hilbert Geometry of the Siegel Disk Domain
Entropy, 2020 We study the Hilbert geometry induced by the Siegel disk domain, an open-bounded convex set of complex square matrices of operator norm strictly less than one.
Frank Nielsen
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Tau functions for the Dirac operator on the Poincaré disk [PDF]
Communications in Mathematical Physics, 1994 92 ...
Palmer, John +2 more
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Entanglement entropy in cubic gravitational theories
Journal of High Energy Physics, 2021 We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension.
Elena Cáceres +2 more
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, 2015 The cosmological models called $\alpha$-attractors provide an excellent fit to the latest observational data. Their predictions $n_{s} = 1-2/N$ and $r = 12\alpha/N^{2}$ are very robust with respect to the modifications of the inflaton potential.
Kallosh, Renata, Linde, Andrei
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Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings
SciPost Physics, 2022 We propose a new example of discrete holography that provides a new step towards establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is obtained in a natural way from regular tilings of the hyperbolic Poincaré disk, via
Pablo Basteiro, Giuseppe Di Giulio, Johanna Erdmenger, Jonathan Karl, René Meyer, Zhuo-Yu Xian
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Global AdS Picture of 1/2 BPS Wilson Loops [PDF]
, 2010 We study the holographic dual string configuration of 1/2 BPS circular Wilson loops in N=4 super Yang-Mills theory by using the global coordinate of AdS.
A Dymarsky +14 more
core +3 more sources
Transversal conics and the existence of limit cycles [PDF]
, 2014 This paper deals with the problem of location and existence of limit cycles for real planar polynomial differential systems. We provide a method to construct Poincar\'e--Bendixson regions by using transversal conics.
Giacomini, Héctor, Grau, Maite
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A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications
Journal of Mathematics, 2014 We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyperbolic area and length formula of Euclidean disk and a circle represented by its Euclidean center and radius.
Hui Bao, Xingdi Chen
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Fréchet algebraic deformation quantization of the Poincaré disk [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2012 Abstract. Starting from formal deformation quantization we use an explicit formula for a star product on the Poincaré disk 𝔻 n
Beiser, Svea, Waldmann, Stefan
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