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pro vyhledávání: '"Thomas Garrity"'
Autor:
Thomas Garrity
Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::315672a9746923dcdf296330501ebb01
https://doi.org/10.1017/9781108992879
https://doi.org/10.1017/9781108992879
Autor:
Ilya Amburg, Thomas Garrity
This paper is a direct continuation of "Functional analysis behind a Family of Multidimensional Continued Fractions: Part I," in which we started the exploration of the functional analysis behind the transfer operators for triangle partition maps, a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4be9bcf46ef0844a637323d3f9026ce
Autor:
Abhijit Deshmukh, Marissa N Cadavid Berns, Alok Chaturvedi, Julia M. Colby, Joel Frederick Markham, John Thomas Garrity, Randy Rausch, Wesley Michael Skeffington, Mohsen Ebrahimi Moghaddam, C. Robert Kenley
Publikováno v:
INDIN
Industry 4.0 is opening new avenues for reconfigurable and information-centric integration of enterprise functions and control systems. Most of the current approaches (e.g., ISA-95) view enterprise architectures in a pre-defined, monolithic, and hier
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2806d9113142dd2c4beceb8602119ad
https://doi.org/10.1109/indin.2017.8104742
https://doi.org/10.1109/indin.2017.8104742
Autor:
Thomas Garrity, Ilya Amburg
Triangle partition maps form a family that includes many, if not most, well-known multidimensional continued fraction algorithms. This paper begins the exploration of the functional analysis behind the transfer operator of each of these maps. We show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d7582b520ca6c224f4a1301bee3db65
http://arxiv.org/abs/1703.01589
http://arxiv.org/abs/1703.01589
Autor:
Peter Mcdonald, Thomas Garrity
The Minkowski question mark function, maping the unit interval to itself, is a continuous, strictly increasing, one-to-one and onto function that has derivative zero almost everywhere. Key to these facts are the basic properties of continued fraction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45dcbdc3917dbe2d6142a4a894799e18
http://arxiv.org/abs/1701.09070
http://arxiv.org/abs/1701.09070
Autor:
Cornelia Mihaila, Thomas Garrity, Matthew Stoffregen, Nicholas Neumann-Chun, Krishna Dasaratha, Sarah Peluse, Chansoo Lee, Laure Flapan
Publikováno v:
Monatshefte für Mathematik. 174:549-566
We construct a countable family of multi-dimensional continued fraction algorithms, built out of five specific multidimensional continued fractions, and find a wide class of cubic irrational real numbers a so that either (a, a^2) or (a, a-a^2) is pur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da210577937d27f16d63b3adf45f2609
https://doi.org/10.1007/s00605-014-0643-1
https://doi.org/10.1007/s00605-014-0643-1