منابع مشابه
Perturbations of Multidimensional Shifts of Finite Type
In this paper, we study perturbations of multidimensional shifts of finite type. Specifically, for any Z shift of finite type X with d > 1 and any finite pattern w in the language of X, we denote by Xw the set of elements of X not containing w. For strongly irreducible X and patterns w with shape a d-dimensional cube, we obtain upper and lower bounds on h(X) − h(Xw) dependent on the size of w. ...
متن کاملk-HYPONORMALITY OF FINITE RANK PERTURBATIONS OF UNILATERAL WEIGHTED SHIFTS
Abstract. In this paper we explore finite rank perturbations of unilateral weighted shifts Wα. First, we prove that the subnormality of Wα is never stable under nonzero finite rank pertrubations unless the perturbation occurs at the zeroth weight. Second, we establish that 2-hyponormality implies positive quadratic hyponormality, in the sense that the Maclaurin coefficients ofDn(s) := detPn [(W...
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Environmental perturbations have large effects on both organismal and cellular traits, including gene expression, but the extent to which the environment affects RNA processing remains largely uncharacterized. Recent studies have identified a large number of genetic variants associated with variation in RNA processing that also have an important role in complex traits; yet we do not know in whi...
متن کاملOn Perturbations of the Isometric Semigroup of Shifts on the Semiaxis
Perturbations (r τt)t≥0 of the semigroup of shifts (τt)t≥0 on L(R+) are studied under the assumption that r τt−τt belongs to a certain Schatten–von Neumann class Sp with p ≥ 1. It is shown that, for the unitary component in the Wold– Kolmogorov decomposition of the cogenerator of the semigroup (r τt)t≥0, any singular spectral type may be achieved by S1-perturbations. An explicit construction is...
متن کاملContingencies and compounded rare perturbations dictate sudden distributional shifts during periods of gradual climate change.
Ecological responses to climate change may occur gradually with changing conditions, or they may occur rapidly once some threshold or "tipping point" has been reached. Here, we use a high-resolution, 30-year data set on the upper vertical limit of a high intertidal alga to demonstrate that distributional shifts in this species do not keep pace with gradual trends in air temperature or sea level...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1982
ISSN: 0022-247X
DOI: 10.1016/0022-247x(82)90216-5