55 research outputs found
Linear dynamics induced by odometers
Weighted shifts are an important concrete class of operators in linear
dynamics. In particular, they are an essential tool in distinguishing variety
dynamical properties. Recently, a systematic study of dynamical properties of
composition operators on spaces has been initiated. This class of
operators includes weighted shifts and also allows flexibility in construction
of other concrete examples. In this article, we study one such concrete class
of operators, namely composition operators induced by measures on odometers. In
particular, we study measures on odometers which induce mixing and transitive
linear operators on spaces.Comment: 15 pages, keywords: linear dynamics, composition operators,
topological mixing, topological transitivity, odometer
A short account of the malignant fever lately prevalent in Philadelphia : to which are added, accounts of the plague in London and Marseilles ; and a list of the dead, from August 1, to the middle of December, 1793 /
Label of the Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity. No.785.; ESTC
Moravian heresy : wherein the principal errors of that doctrine, as taught throughout several parts of Europe and America, by Count Zinzendorf, Mr. Cennick, and other Moravian teachers, are fully set forth, proved, and refuted : also a short accoun
Bookplate: Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity. [CongLib 212].; Label of Wm. G. Malin. [Malin 686].; ESTC,; ESTC
The aristocrat, a novel : In two volumes. ... By the author of The democrat.
Author of The democrat = Henry James Pye.; Label of the Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity. No. 936.; Label of the Washington Circulating Library, No. 1073.; Archives has vol. 2 only.; ESTC
A compleat collection of devotions : both publick and private : taken from the apostolical constitutions, the ancient liturgies, and the Common prayer book of the Church of England ... [etc.].
Signatures: [pi]¹, A?, A-Y?, Z?, a-h?, i? (final verso blank).; Attributed to Thomas Deacon.; Label: Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity, no. 877.; Signature; B. Ingham.; An appendix in justification of the foregoing undertaking ... has separate title and pagings.; BM,; ESTC
A generalized first-return integration process
We extend the first-return integration process, introduced in [5] by U.B. Darji
and M.J. Evans, and prove that each Lebesgue-improper integrable function
f : [a, b] --> R is first-return integrable in this generalized sense to (Li)int_a^b f(t) dt
Coanalytic Sets and Symmetric Behavior in Functions
AbstractWe show that every 0-dimensional coanalytic set is homeomorphic to the set of points of symmetric behavior of some Baire 2 function
A funeral sermon, on the downfal of Buonaparte\u27s dynasty : a discourse preached on Thursday, July 7, 1814, the day appointed for the general thanksgiving.
Label of the Library of the Congregation of U.B. of the Borough of Bethlehem and its vicinity. No. 164
Classification problems in continuum theory
We study several natural classes and relations occurring in continuum theory from the viewpoint of descriptive set theory and infinite combinatorics. We provide useful characterizations for the relation of likeness among dendrites and show that it is a bqo with countably many equivalence classes. For dendrites with finitely many branch points the homeomorphism and quasi-homeomorphism classes coincide, and the minimal quasi-homeomorphism classes among dendrites with infinitely many branch points are identified. In contrast, we prove that the homeomorphism relation between dendrites is -universal. It is shown that the classes of trees and graphs are both -complete, the class of dendrites is -complete, and the class of all continua homeomorphic to a graph or dendrite with finitely many branch points is -complete. We also show that if is a nondegenerate finitely triangulable continuum, then the class of -like continua is \bolbsymbol \Pi^0_2-complete
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