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We prove that in the space of all C
r
(r 1) partially hyperbolic
dieomorphisms, there is a C
1 open and dense set of accessible diffeomorphisms.
Almost dense orbit on energy surface.
An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
A Gδ IDEAL OF COMPACT SETS STRICTLY ABOVE THE NOWHERE DENSE IDEAL IN THE TUKEY ORDER
Gδ IDEAL COMPACT SETS STRICTLY NOWHERE DENSE IDEAL TUKEY ORDER
2015/8/17
We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tukey order. Here NWD is the collection of all compact nowhere dense subsets of the Cantor set. This answers a qu...
Dense Error Correction for Low-Rank Matrices via Principal Component Pursuit
Dense Error Correction Low-Rank Matrices Principal Component Pursuit
2015/6/17
We consider the problem of recovering a lowrank matrix when some of its entries, whose locations are not known a priori, are corrupted by errors of arbitrarily large magnitude. It has recently been sh...
Dense nuclear Frechet ideals in $C^\star$-algebras
Dense nuclear Frechet ideals Operator Algebras Functional Analysis
2012/5/9
We show that a $C^\star$-algebra $B$ contains a dense Fr\'echet two-sided ideal $A$ satisfying seminorm inequalities $\| a_1 a_2 \|_n \leq
\min \bigl\{\, \|a_1\|_n \|a_2\|_B,\, \|a_1\|_B \|a_2\|_n \...
Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number
circle diffeomorphism rotation number Liouville number conjugacy invariant measure fast approximation by conjugation
2011/9/23
Abstract: Given any Liouville number $\alpha$, it is shown that various subspaces are $C^\infty$-dense in the space of the orientation preserving $C^\infty$ diffeomorphisms of the circle with rotation...
In this paper, we give a characterization of existence of a dense orbit for the action on Cn of an abelian affine subgroup G of GA(n,C). We prove in particular that if G has a dense orbit then the clo...
Dense locally testable codes cannot have constant rate and distance
Dense locally testable codes constant rate distance
2011/3/2
A q-query locally testable code (LTC) is an error correcting code that can be tested by a randomized algorithm that reads at most q symbols from the given word. An important question is whether there ...
Abundant configurations in sumsets with one dense summand
Abundant configurations dense summand
2010/11/24
We analyze sumsets A+B = {a+b : a in A, b in B} where A,B are sets of integers, A is infinite, and B has positive upper Banach density. For each k, we show that A+B contains at least the expected dens...
A Fractal Example of a Continuous Monotone Function with Vanishing Derivatives on a Dense Set and Infinite Derivatives on Another Dense Set
Sierpinki Gasket harmonic function
2011/6/2
Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on an...
Nowhere dense graph classes, stability, and the independence property
Nowhere dense graph classes the independence property
2010/11/23
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors. We observe that this tameness notion from algorith...
Dense graphs with a large triangle cover have a large triangle packing
Dense graphs with large triangle cover large triangle packing
2010/11/29
It is well known that a graph with m edges can be made triangle-free by removing (slightly less
than) m/2 edges. On the other hand, there are many classes of graphs which are hard to make
triangle-f...
In this paper, we consider solving dense linear equations on Dawning1000
by using matrix partitioning technique. Based on this partitioning of
matrix, we give a parallel block LU decomposition metho...
In this paper, we study a class of simple and easy-to-construct shop schedules, known as dense schedules. We present tight bounds on the maximum deviation in makespan of dense flow-shop and job-shop s...