Journal ArticleDOI
On the dynamics
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TLDR
A linear time algorithm for computing, given the component tree of a function, the dynamics of all its maxima, and a link between the dynamics, minimum spanning trees, and component trees is established.About:
This article is published in Image and Vision Computing.The article was published on 2007-04-01. It has received 475 citations till now. The article focuses on the topics: Minimum spanning tree & Spanning tree.read more
Citations
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Journal ArticleDOI
Time crystals: a review
Krzysztof Sacha,Jakub Zakrzewski +1 more
TL;DR: The struggle to observe discrete time crystals is reviewed here together with propositions that generalize this concept introducing condensed matter like physics in the time domain.
Journal ArticleDOI
Questions and controversies in the study of time-varying functional connectivity in resting fMRI
Daniel J. Lurie,Daniel Kessler,Danielle S. Bassett,Richard F. Betzel,Michael Breakspear,Michael Breakspear,Shella Kheilholz,Aaron Kucyi,Raphaël Liégeois,Raphaël Liégeois,Martin A. Lindquist,Anthony R. McIntosh,Russell A. Poldrack,James M. Shine,William Hedley Thompson,William Hedley Thompson,Natalia Z. Bielczyk,Linda Douw,Dominik Kraft,Robyn L. Miller,Muthuraman Muthuraman,Lorenzo Pasquini,Adeel Razi,Adeel Razi,Adeel Razi,Diego Vidaurre,Hua Xie,Vince D. Calhoun,Vince D. Calhoun,Vince D. Calhoun +29 more
TL;DR: The brain is a complex, multiscale dynamical system composed of many interacting regions as mentioned in this paper, and knowledge of the spatiotemporal organization of these interactions is critical for establishing a solid understanding of the brain.
Journal ArticleDOI
Watershed Cuts: Minimum Spanning Forests and the Drop of Water Principle
TL;DR: The consistency of these watersheds is established, and it is proved, through an equivalence theorem, their optimality in terms of minimum spanning forests and the proposed algorithm is the most efficient existing algorithm, both in theory and in practice.
Journal ArticleDOI
The dynamics of collapse in world fisheries
TL;DR: In this article, the authors used a simple mathematical model to relate the plateau-shaped collapses (which are the most difficult to predict) to surreptitiously increasing exploitation and a depensatory mechanism at low population levels.
References
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Book
Image Analysis and Mathematical Morphology
TL;DR: This invaluable reference helps readers assess and simplify problems and their essential requirements and complexities, giving them all the necessary data and methodology to master current theoretical developments and applications, as well as create new ones.
Book
A calculus of communicating systems
TL;DR: A case study in synchronization and proof techniques, and some proofs about data structures in value-communication as a model of CCS 2.0.
Attention, intention, and the structure of discourse
TL;DR: A new theory of discourse structure that stresses the role of purpose and processing in discourse is explored and various properties of discourse are described, and explanations for the behavior of cue phrases, referring expressions, and interruptions are explored.