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NEW EXAMPLES OF S-UNIMODAL MAPS WITH A SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
S-UNIMODAL MAPS SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
2015/9/25
We combine the technique of inducing with a method of Johnson boxes and construct new examples of S-unimodal maps ϕ which do not have a finite absolutely continuous invariant measure, but do have...
CONTINUOUS COLORINGS ASSOCIATED WITH CERTAIN CHARACTERISTICS OF THE CONTINUUM
CONTINUOUS COLORINGS ASSOCIATED CERTAIN CHARACTERISTICS
2015/8/17
A coloring c:[X]n → Z is said to be irreducible if for every Y; X of equal cardinality c00[Y ]n = Z. The focus of this note will be to show that there are continuous irreducible colorings on sets of r...
Continuous Curvelet Transform:II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator Tight Frame
2015/6/17
We develop a unifying perspective on several decompositions exhibiting directional parabolic scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales, with effective ...
Continuous Curvelet Transform:I. Resolution of the Wavefront Set
Wavelets Curvelets Wave Packets Directional Wavelets Analysis of Singularities Singular Support Wavefront Set Parabolic Scaling
2015/6/17
We discuss a Continuous Curvelet Transform (CCT), a transform f → Γf(a, b, θ) of functions f(x1, x2) on R2, into a transform domain with continuous scale a > 0, location b ∈ R2, and orientation θ ∈ [...
Regularity of Holder continuous solutions of the supercritical quasi-geostrophic equation
the 2D quasi-geostrophic equation supercritical dissipation regularity weak solutions
2014/4/4
We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical (α < 1/2) dissipation (−∆)α: If a Leray-Hopf weak solution is H¨older continuous θ...
Order continuous operators on CD0(K,E) and CDw(K,E)-spaces
CD0(K)-spaces order continuous operators isometric lattice isomorphism
2011/4/6
In [2], Alpay and Ercan characterized order continuous duals of spaces CD0(K, E) and CDw(K, E) where K is a compact Hausdorff space without isolated points and E is a Banach lattice. In this note, we ...
This work studies the construction of observers for a class of finite dimensional systems in which the dynamics are partially unknown. In this work we consider the class of the dynamics with a single ...
Intuitionistic fuzzy alpha generalized continuous mappings and intuitionistic alpha generalized irresolute mappings
Intuitionistic fuzzy topology intuitionistic fuzzy alpha generalized closed set
2010/9/26
In this paper I introduce intuitionistic fuzzy alpha generalized continuous mappings and intuitionistic fuzzy alpha generalized irresolute mappings. Some of their properties are studied.
I try to give mathematical evidence to the following equivalence, which is based on ideas from Plato (Timaeus): reality emerges from a more primitive, non-geometrical, reality in the same way as the ...
Singular continuous spectrum of one-dimensional Schrödinger operator with point interactions on a sparse set
Singular continuous spectrum one-dimensional Schrö dinger operator
2010/11/18
We say that a discrete set $X =\{x_n\}_{n\in\dN_0}$ on the half-line $$0=x_0 < x_1 infty$$ is sparse in the case the distances $\Delta x_n = x_{n+1} -x_n$ between neighboring p...
On fuzzy topological ring valued fuzzy continuous functions
fuzzy topological ring (FTR) fuzzy ideal
2010/9/13
The collection of all fuzzy continuous functions from a fts Y to a fuzzy topological ring (in short, FTR) Z, denoted by FC(Y,Z) induces a ring structure from that of Z. This paper explores the structu...
Further Notes on a Family of Continuous, Non-differentiable Functions
continuous nowhere di erentiable fractal Hausdor dimension
2011/2/23
We examine a parametrized family of functions Fa, all of which are continuous and some of which are nowhere or almost nowhere di erentiable.
A control trajectory problem: Continuous systems
Discrete systems controllability optimal control
2010/9/10
In this paper we consider a fundamental control problem. Our aim is not to determine the control which steers the system to a desired final state at time T, but to investigate, under some hypothesis, ...
The optimal method for solving continuous linear and nonlinear programs
Continuous nonlinear program Control problem
2010/9/14
In this paper, we consider a class of continuous nonlinear programs posed in a function space called separated continuous nonlinear programs (SCNP). In first step we transform the constraints of probl...
A Symbolic-Numeric Approach to MPL Continuous Logic and to Rule Based Expert Systems whose Underlying Logic is MPL
Symbolic-Numeric Approach Minimal Polynomial Logic
2008/11/10
We first briefly describe an algebraic model of classical and modal many-valued logics due to the authors and introduced in previous works. A similar approach, also using Computer Algebra techniques (...