Results 41 to 50 of about 194,172 (151)
Non-local Gehring lemmas in spaces of homogeneous type and applications [PDF]
, 2018 We prove a self-improving property for reverse H{\"o}lder inequalities with non-local right hand side. We attempt to cover all the most important situations that one encounters when studying elliptic and parabolic partial differential equations as well ...
Auscher, Pascal +3 more
core +1 more source
Journal of High Energy Physics, 2018 The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties.
Tim R. Morris
doaj +1 more source
A unified mode decomposition method for physical fields in homogeneous cosmology [PDF]
, 2013 The methods of mode decomposition and Fourier analysis of classical and quantum fields on curved spacetimes previously available mainly for the scalar field on Friedman- Robertson-Walker (FRW) spacetimes are extended to arbitrary vector bundle fields on ...
Avetisyan, Zhirayr G.
core +2 more sources
Discrepancy convergence for the drunkard's walk on the sphere [PDF]
, 2000 We analyze the drunkard's walk on the unit sphere with step size theta and show that the walk converges in order constant/sin^2(theta) steps in the discrepancy metric. This is an application of techniques we develop for bounding the discrepancy of random
Su, Francis Edward
core +4 more sources
Isodiametric inequality in Carnot groups
, 2010 The classical isodiametric inequality in the Euclidean space says that balls maximize the volume among all sets with a given diameter. We consider in this paper the case of Carnot groups.
Rigot, Severine
core +4 more sources
Towards a theory of area in homogeneous groups
, 2018 A general approach to compute the spherical measure of submanifolds in homogeneous groups is provided. We focus our attention on the homogeneous tangent space, that is a suitable weighted algebraic expansion of the submanifold. This space plays a central
Magnani, Valentino
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Global, Local and Vector-Valued Tb Theorems on Non-Homogeneous Metric Spaces [PDF]
, 2011 Various Tb theorems play a key role in the modern harmonic analysis. They provide characterizations for the boundedness of Calderón-Zygmund type singular integral operators.
Martikainen, Henri
core
A two measure model of dark energy and dark matter
, 2012 In this work we construct a unified model of dark energy and dark matter. This is done with the following three elements: a gravitating scalar field, phi with a non-conventional kinetic term, as in the string theory tachyon; an arbitrary potential, V(phi)
Douglas Singleton +12 more
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Electronic Journal of Differential Equations, 2007 The paper studies energy functionals on quasimetric spaces, defined by quadratic measure-valued Lagrangeans. This general model of medium, known as metric fractals, includes nested fractals and sub-Riemannian manifolds.
Kyril Tintarev
doaj
Local dimensions in Moran constructions
, 2015 We study the dimensional properties of Moran sets and Moran measures in doubling metric spaces. In particular, we consider local dimensions and $L^q$-dimensions.
Käenmäki, Antti +2 more
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