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On dyadic nonlocal Schr鰀inger equations with Besov initial data
Schrodinger equation Besov spaces Haar bases Nonlocal derivatives
2012/6/21
In this paper we characterize a dyadic type Besov space as an adequate setting to solve the Schr\"{o}dinger-Dirac type equation $i\tfrac{\partial u}{\partial t}=D^{\beta}u$ with $u(x,0)=u^0$ pointwise...
Dyadic sets, maximal functions and applications on ax+b,-groups
Exponential growth group Dyadic set Complex interpolation Hardy space BMO
2011/10/10
Let S be the Lie group{mathbb R}^nltimes {mathbb R}$, where ${mathbb R}acts on {mathbb R}^n by dilations,endowed with the left-invariantRiemannian symmetric space structure and the right Haar measure ...
The Phase Transition for Dyadic Tilings
dyadic rectangle tiling phase transition percolation generating function
2011/9/5
Abstract: A dyadic tile of order n is any rectangle obtained from the unit square by n successive bisections by horizontal or vertical cuts. Let each dyadic tile of order n be available with probabili...
Systems of dyadic cubes in a doubling metric space
Space of homogeneous type dyadic cube random geometric construction
2011/1/20
A number of recent results in Euclidean Harmonic Analysis have exploited several adjacent systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such constructions to gene...
Many communication channels with discrete input have non-uniform capacity achieving probability mass functions (PMF). By parsing a stream of independent and equiprobable bits according to a full prefi...