Topic
Excursion
About: Excursion is a research topic. Over the lifetime, 1896 publications have been published within this topic receiving 24776 citations. The topic is also known as: tour.
Papers published on a yearly basis
1 / 3
Papers
TL;DR: In this paper, the authors proposed a solution based on the theory of the excursion sets of F(r, R sub f), the four-dimensional initial density perturbation field smoothed with a continuous hierarchy of filters of radii.
Abstract: It is pointed out that most schemes for determining the mass function of virialized objects from the statistics of the initial density perturbation field suffer from the cloud-in-cloud problem of miscounting the number of low-mass clumps, many of which would have been subsumed into larger objects. The paper proposes a solution based on the theory of the excursion sets of F(r, R sub f), the four-dimensional initial density perturbation field smoothed with a continuous hierarchy of filters of radii R sub f.
2,161 citations
Book•
28 Jan 2010
TL;DR: In this article, the authors present a survey of random fields and excursion sets and their spectral properties, including sample function regularity, sample function erraticism, and the Markov property for Gaussian fields.
Abstract: Preface to the Classics edition Preface Corrections and comments 1. Random fields and excursion sets 2. Homogeneous fields and their spectra 3. Sample function regularity 4. Geometry and excursion characteristics 5. Some expectations 6. Local maxima and high-level excursions 7. Some non-Gaussian fields 8. Sample function erraticism and Hausdorff dimension Appendix. The Markov property for Gaussian fields References Author index Subject index.
1,401 citations
TL;DR: When using the SEBT for experimental or clinical purposes, participants' excursion distances should be normalized to leg length to allow for a more accurate comparison of performance among participants.
Abstract: This study was designed to examine the role of foot type, height, leg length, and range of motion (ROM) measurements on excursion distances while performing the Star Excursion Balance Test (SEBT), a test of dynamic postural control. Participants (n = 30) performed 3 trials of the SEBT in each of the 8 directions while balancing on the right and left legs. No statistically significant relations were found between foot type or ROM measurements and excursion distances with the SEBT. Significant correlations were revealed between height and excursion distance and leg length and excursion distance with leg length having the stronger correlation. Using raw excursion measures, males were found to have significantly greater excursion distances than females; however, after normalizing excursion distances to leg length, there were no significant differences related to gender. In conclusion, when using the SEBT for experimental or clinical purposes, participants' excursion distances should be normalized to leg lengt...
673 citations
TL;DR: In this paper, the expected Euler characteristic of excursion sets of stationary Gaussian random fields has been derived by Adler and Hasofer (1976) and Adler (1981), and applied to some 3D images of cerebral blood flow from a study on pain perception.
Abstract: The maximum of a Gaussian random field was used by Worsley et al. (1992) to test for activation at an unknown point in positron emission tomography images of blood flow in the human brain. The Euler characteristic of excursion sets was used as an estimator of the number of regions of activation. The expected Euler characteristic of excursion sets of stationary Gaussian random fields has been derived by Adler and Hasofer (1976) and Adler (1981). In this paper we extend the results of Adler (1981) to χ 2, F and t fields. The theory is applied to some three-dimensional images of cerebral blood flow from a study on pain perception.
431 citations
TL;DR: A generalized curve of carbon isotopes (δ13C) through the Cambrian suggests a relationship between major biotic events, sea level history and the development of deposits of exceptional preservation (Lagerstatten).
351 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2026 | 3 |
| 2025 | 195 |
| 2024 | 196 |
| 2023 | 265 |
| 2022 | 508 |
| 2021 | 75 |