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A Complementary Design Theory for Doubling.
Doubling and Desingularization Constructions for Minimal Surfaces
Differential geometry minimal surfaces partial differential equations
2011/2/28
In the first part of the paper we discuss the current status of the application of the gluing methodology to doubling and desingularization constructions for minimal surfaces in Riemannian three-manif...
The quasi-periodic doubling cascade in the transition to weak turbulence
Transition to turbulence torus bifurcation
2011/3/3
The quasi-periodic doubling cascade is shown to occur in the transition from regular to weakly turbulent behaviour in simulations of incompressible Navier-Stokes flow on a three-periodic domain.
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...
Existence of doubling measures via generalised nested cubes
doubling measures via generalised nested cubes
2010/11/9
Using generalised dyadic cubes and the mass distribution principle, we give a straightforward new proof for the existence of doubling measures in complete doubling metric spaces.
Instantons, concordance, and Whitehead doubling
knot concordance Chern-Simons instanton Whitehead double
2010/12/14
We use moduli spaces of instantons and Chern-Simons invariants of flat connections to prove that the Whitehead doubles of (2, 2n − 1) torus knots are independent in the smooth knot concordance g...
Period Doubling Renormalization for Area-Preserving Maps and Mild Computer Assistance in Contraction Mapping Principle
Period Doubling Renormalization Area-Preserving Maps Mild Computer Assistance
2010/11/29
A universal period doubling cascade analogous to the famous Feigenbaum-Coullet-Tresser period doubling has been observed in area-preserving maps of R2. Existence of the “universal” map with orbits of ...
The appearance of infinitely-many period-doubling cascades is one of the most prominent features observed in the study of maps depending on a parameter. They are associated with chaotic behavior, sinc...
Matricial representation of period doubling cascade
period doubling cascade inverse permutation
2010/4/1
Starting from the cycle permutation sigma_(2^k) associated with the (2^k)-periodic orbit of the period doubling cascade we obtain the inverse permutation (sigma_(2^k))^-1. Then we build a matrix permu...
Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures
maximal commutator Calder\'on--Zygmund operator ${\rm RBMO}(\mu)$ Hardy-type space non-doubling measure
2007/12/12
Let $\mu$ be a non-negative Radon measure on ${\mathbb R}^d$ which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of...