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Zd SHIFTS OF FINITE TYPE WITHOUT EQUAL ENTROPY FULL SHIFT FACTORS
Zd SHIFTS FINITE TYPE ENTROPY FULL SHIFT
2015/9/29
For d ≥ 2, we use results of Hochman and Meyerovitch to construct examples of Zd shifts of finite type of entropy log N, N ∈ N, which cannot factor topologically onto the Zd Bernoulli shift on N symbo...
PATH METHODS FOR STRONG SHIFT EQUIVALENCE OF POSITIVE MATRICES
PATH METHODS STRONG SHIFT EQUIVALENCE POSITIVE MATRICES
2015/9/29
In the early 1990’s, Kim and Roush developed path methods for establishing strong shift equivalence (SSE) of positive matrices over a dense subring U of R. This paper gives a detailed, unified and gen...
STRONG SHIFT EQUIVALENCE AND THE GENERALIZED SPECTRAL CONJECTURE FOR NONNEGATIVE MATRICES
STRONG SHIFT EQUIVALENCE GENERALIZED SPECTRAL CONJECTURE NONNEGATIVE MATRICES
2015/9/29
Given matrices A and B shift equivalent over a dense subring R of R,with A primitive, we show that B is strong shift equivalent over R to a primitive matrix. This result shows that the weak form of th...
THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
Computing the threshold shift for general channels
Threshold the probability curve noise the binary
2015/8/21
The ‘threshold’ of a code ensemble can be defined as the noise level at which the block error probability curve crosses 1/2. For ensembles of low-density parity check codes used over the binary erasur...
A Characterization of Cellular Automata Generated by Idempotents on the Full Shift
cellular automata marker lemma products of idempotents decidability
2012/6/19
In this article, we discuss the family of cellular automata generated by so-called idempotent cellular automata (CA G such that G^2 = G) on the full shift. We prove a characterization of products of i...
Soliton self-frequency blue-shift in gas-filled hollow-core photonic crystal fibers
Soliton self-frequency blue-shift hollow-core photonic crystal fibers
2011/7/7
We show theoretically that the photoionization process in a hollow-core photonic crystal fiber filled with a Raman-inactive noble gas leads to a constant acceleration of solitons in the time domain wi...
A natural occurrence of shift equivalence in a purely algebraic setting constitutes the subject matter of the following short exposition.
Soliton blue-shift in tapered photonic crystal fiber
Soliton blue-shift tapered photonic crystal fiber
2010/12/28
We show that solitons undergo a strong blue shift in fibers with a dispersion landscape that varies along the direction of propagation. The experiments are based on a small-core photonic crystal fiber...
Delimited control operators prove Double-negation Shift
double negation shift delimited control operators intuitionistic logic
2011/1/18
We propose an extension of minimal intuitionistic predicate logic, based on delimited control operators, that can derive the predicate-logic version of the Double-negation Shift schema, while preservi...
A subspace shift technique for solving close-to-critical nonsymmetric algebraic Riccati equations
A subspace shift technique close-to-critical nonsymmetric algebraic Riccati equations
2010/11/11
The worst situation in computing the minimal nonnegative solution $X_*$ of a nonsymmetric algebraic Riccati equation $\mathcal R(X)=0$ associated with an M-matrix occurs when the derivative of $\math...
Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift
Eigenvalues and eigenfunctions the Laplacian
2010/11/19
In this paper we present an iterative method inspired by the inverse iteration with shift technique of finite linear algebra designed to find the eigenvalues and eigenfunctions of the Laplacian with h...
On the finite-dimensional marginals of shift-invariant measures
On the finite-dimensional marginals shift-invariant measures
2010/11/17
Let $\Sigma$ be a finite alphabet, $\Omega=\Sigma^{\mathbb{Z}^{d}}$ equipped with the shift action, and $\mathcal{I}$ the simplex of shift-invariant measures on $\Omega$. We study the relation betwee...
Singular spectral shift and Pushnitski $\mu$-invariant
Singular spectral shift Pushnitski $\mu$-invariant
2010/12/8
In this paper it is shown that in case of trace class perturbations the singular part of Pushnitski μ -invariant does not depend on the angle variable. This gives an alternative proof of integer-value...
On the spectrum of skew-shift Schrödinger operators
spectrum ergodic Schrodinger operators skew-shift
2010/11/30
I prove that the spectrum of a skew-shift Schrodinger operator contains larges interval in the semi-classical regime. In the semi-classical limit,these intervals approach the range of the potential.