Results 21 to 30 of about 138,211 (374)
Geodesic complexity for non-geodesic spaces [PDF]
Boletín de la Sociedad Matemática Mexicana, 2021 One major ...
openaire +2 more sources
Effective counting of simple closed geodesics on hyperbolic surfaces [PDF]
Journal of the European Mathematical Society (Print), 2019 We prove a quantitative estimate, with a power saving error term, for the number of simple closed geodesics of length at most $L$ on a closed hyperbolic surface of genus $g$.
A. Eskin, M. Mirzakhani, A. Mohammadi
semanticscholar +1 more source
Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding [PDF]
Annals of Probability, 2016 We endow the √ 8/3-Liouville quantum gravity sphere with a metric space structure and show that the resulting metric measure space agrees in law with the Brownian map.
Jason Miller, S. Sheffield
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Massively parallel computation of globally optimal shortest paths with curvature penalization
Concurrency and Computation: Practice and Experience, Volume 35, Issue 2, 25 January 2023., 2023 Abstract We address the computation of paths globally minimizing an energy involving their curvature, with given endpoints and tangents at these endpoints, according to models known as the Reeds‐Shepp car (reversible and forward variants), the Euler‐Mumford elasticae, and the Dubins car. For that purpose, we numerically solve degenerate variants of the
Jean‐Marie Mirebeau +4 more
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Quasinormal modes of black holes with multiple photon spheres
Journal of High Energy Physics, 2022 For a static and spherically symmetric black hole, a photon sphere is composed of circular null geodesics of fixed radius, and plays an important role in observing the black hole.
Guangzhou Guo +3 more
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Blowups and blowdowns of geodesics in Carnot groups [PDF]
Journal of differential geometry, 2018 This paper provides some partial regularity results for geodesics (i.e., isometric images of intervals) in arbitrary sub-Riemannian and sub-Finsler manifolds.
Eero Hakavuori, E. Donne
semanticscholar +1 more source
Frontiers in Human Neuroscience, 2016 In pain management as well as other clinical applications of neuromodulation, it is important to consider the timing parameters influencing activity-dependent plasticity, including pulsed versus sustained currents, as well as the spatial action of ...
Phan Luu +8 more
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European Physical Journal C: Particles and Fields, 2023 The existence of null circular geodesics in the background of non-extremal spherically symmetric asymptotically flat black holes has been proved in previous works.
Yan Peng
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European Journal of Pain, Volume 27, Issue 1, Page 148-162, January 2023., 2023 Abstract Background Virtual reality hypnosis (VRH) has emerged as a new and promising option for pain management. Nonetheless, neural dynamics of pain modulation during VRH have not been investigated yet. The aim of this study was to measure the effects of VRH on pain, combining neurophysiological and self‐reported measurements.
Floriane Rousseaux +9 more
wiley +1 more source
Methods for Examining Electrophysiological Coherence in Epileptic Networks
Frontiers in Neurology, 2013 Epilepsy may reflect a focal abnormality of cerebral tissue, but the generation of seizures typically involves propagation of abnormal activity through cerebral networks.
Jasmine eSong +8 more
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