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245 results

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Page 1
An overview of the extremal index.
Moloney NR, Faranda D, Sato Y. Moloney NR, et al. Chaos. 2019 Feb;29(2):022101. doi: 10.1063/1.5079656. Chaos. 2019. PMID: 30823712
Such short-range clustering is also accommodated by extreme value theory via the so-called extremal index. This review provides an introduction to the extremal index by working through a number of its intuitive interpretations. ...More recently, the extremal …
Such short-range clustering is also accommodated by extreme value theory via the so-called extremal index. This review provides an in …
Extremal states and coupling properties in electroelasticity.
Menzel A, Witt C. Menzel A, et al. Philos Trans A Math Phys Eng Sci. 2022 Oct 17;380(2234):20210330. doi: 10.1098/rsta.2021.0330. Epub 2022 Aug 29. Philos Trans A Math Phys Eng Sci. 2022. PMID: 36031835 Free PMC article.
This analysis results in extremal states when stresses and strain commutate, respectively, dielectric displacements and electric field are aligned. ...The analysis is considered to contribute to a better understanding of electromechanical coupling properties and extrema …
This analysis results in extremal states when stresses and strain commutate, respectively, dielectric displacements and electric fiel …
Microgravity Effects on the Matrisome.
Buravkova L, Larina I, Andreeva E, Grigoriev A. Buravkova L, et al. Cells. 2021 Aug 27;10(9):2226. doi: 10.3390/cells10092226. Cells. 2021. PMID: 34571874 Free PMC article. Review.
The gravity-sensitive complex is a kind of molecular hub that coordinates the functions of various tissues and organs in the gravitational environment. The functioning of this system is of particular importance under extremal conditions, such as spaceflight microgra …
The gravity-sensitive complex is a kind of molecular hub that coordinates the functions of various tissues and organs in the gravitational e …
Using extremal events to characterize noisy time series.
Berry E, Cummins B, Nerem RR, Smith LM, Haase SB, Gedeon T. Berry E, et al. J Math Biol. 2020 Apr;80(5):1523-1557. doi: 10.1007/s00285-020-01471-4. Epub 2020 Feb 1. J Math Biol. 2020. PMID: 32008103 Free PMC article.
Experimental time series provide an informative window into the underlying dynamical system, and the timing of the extrema of a time series (or its derivative) contains information about its structure. ...
Experimental time series provide an informative window into the underlying dynamical system, and the timing of the extrema of a time …
Extremal statistics for stochastic resetting systems.
Singh P, Pal A. Singh P, et al. Phys Rev E. 2021 May;103(5-1):052119. doi: 10.1103/PhysRevE.103.052119. Phys Rev E. 2021. PMID: 34134348
While averages and typical fluctuations often play a major role in understanding the behavior of a nonequilibrium system, this nonetheless is not always true. Rare events and large fluctuations are also pivotal when a thorough analysis of the system is being done. . …
While averages and typical fluctuations often play a major role in understanding the behavior of a nonequilibrium system, this noneth …
Computational discovery of extremal microstructure families.
Chen D, Skouras M, Zhu B, Matusik W. Chen D, et al. Sci Adv. 2018 Jan 19;4(1):eaao7005. doi: 10.1126/sciadv.aao7005. eCollection 2018 Jan. Sci Adv. 2018. PMID: 29376124 Free PMC article.
Our system then clusters microstructures with common topologies into families. ...We demonstrate these capabilities on the computational design of mechanical metamaterials and present five auxetic microstructure families with extremal elastic material properties. Ou …
Our system then clusters microstructures with common topologies into families. ...We demonstrate these capabilities on the computatio …
Quantum entropy and central limit theorem.
Bu K, Gu W, Jaffe A. Bu K, et al. Proc Natl Acad Sci U S A. 2023 Jun 20;120(25):e2304589120. doi: 10.1073/pnas.2304589120. Epub 2023 Jun 12. Proc Natl Acad Sci U S A. 2023. PMID: 37307444 Free PMC article.
We introduce a framework to study discrete-variable (DV) quantum systems based on qudits. It relies on notions of a mean state (MS), a minimal stabilizer-projection state (MSPS), and a new convolution. Some interesting consequences are: The MS is the closest MSPS to a give …
We introduce a framework to study discrete-variable (DV) quantum systems based on qudits. It relies on notions of a mean state (MS), …
Optimization with extremal dynamics.
Boettcher S, Percus AG. Boettcher S, et al. Phys Rev Lett. 2001 Jun 4;86(23):5211-4. doi: 10.1103/PhysRevLett.86.5211. Phys Rev Lett. 2001. PMID: 11384460
We explore a new general-purpose heuristic for finding high-quality solutions to hard discrete optimization problems. The method, called extremal optimization, is inspired by self-organized criticality, a concept introduced to describe emergent complexity in physical sy …
We explore a new general-purpose heuristic for finding high-quality solutions to hard discrete optimization problems. The method, called …
Determination of an Extremal in Two-Dimensional Variational Problems Based on the RBF Collocation Method.
Golbabai A, Safaei N, Molavi-Arabshahi M. Golbabai A, et al. Entropy (Basel). 2022 Sep 23;24(10):1345. doi: 10.3390/e24101345. Entropy (Basel). 2022. PMID: 37420364 Free PMC article.
The Lagrange multiplier technique is used to transform the optimization problem into an algebraic equation system. Three numerical examples indicate the high efficiency and accuracy of the proposed technique....
The Lagrange multiplier technique is used to transform the optimization problem into an algebraic equation system. Three numerical ex …
Engineering zero modes in transformable mechanical metamaterials.
Hu Z, Wei Z, Wang K, Chen Y, Zhu R, Huang G, Hu G. Hu Z, et al. Nat Commun. 2023 Mar 7;14(1):1266. doi: 10.1038/s41467-023-36975-2. Nat Commun. 2023. PMID: 36882441 Free PMC article.
Here, we propose a 3D metamaterial with engineered zero modes, and experimentally demonstrate its transformable static and dynamic properties. All seven types of extremal metamaterials ranging from null-mode (solid state) to hexa-mode (near-gaseous state) are reported to b …
Here, we propose a 3D metamaterial with engineered zero modes, and experimentally demonstrate its transformable static and dynamic propertie …
245 results