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European Physical Journal C: Particles and FieldsUsing effective field theory methods, we derive the Carrollian analog of the geodesic action. We find that it contains both “electric” and “magnetic” contributions that are in general coupled to each other.
Luca Ciambelli, Daniel Grumiller
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A PDE Approach to Data-driven Sub-Riemannian Geodesics in SE(2) [PDF]
SIAM Journal of Imaging Sciences, 2015 We present a new flexible wavefront propagation algorithm for the boundary value problem for sub-Riemannian (SR) geodesics in the roto-translation group $SE(2) = \mathbb{R}^2 \rtimes S^1$ with a metric tensor depending on a smooth external cost $\mathcal{
Bekkers, Erik J. +3 more
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The stationary horizon and semi-infinite geodesics in the directed landscape [PDF]
Annals of Probability, 2022 The stationary horizon (SH) is a stochastic process of coupled Brownian motions indexed by their real-valued drifts. It was first introduced by the first author as the diffusive scaling limit of the Busemann process of exponential last-passage ...
Ofer Busani +2 more
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Investigation of circular geodesics in a rotating charged black hole in the presence of perfect fluid dark matter [PDF]
Classical and quantum gravity, 2020 In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to the rotating avatar of this black hole solution is obtained by incorporating ...
Anish Das +2 more
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Three-halves variation of geodesics in the directed landscape [PDF]
Annals of Probability, 2020 We show that geodesics in the directed landscape have $3/2$-variation and that weight functions along the geodesics have cubic variation. We show that the geodesic and its landscape environment around an interior point has a small-scale limit.
Duncan Dauvergne +2 more
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The convex hull swampland distance conjecture and bounds on non-geodesics [PDF]
Journal of High Energy Physics, 2020 The Swampland Distance Conjecture (SDC) restricts the geodesic distances that scalars can traverse in effective field theories as they approach points at infinite distance in moduli space.
J. Calderón-Infante +2 more
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Quasihyperbolic geodesics are hyperbolic quasi-geodesics [PDF]
Journal of the European Mathematical Society, 2020 This is a tale describing the large scale geometry of Euclidean plane domains with their hyperbolic or quasihyperbolic distances. We prove that in any hyperbolic plane domain, hyperbolic and quasihyperbolic quasi-geodesics are quantitatively the same curves. We also demonstrate the simultaneous Gromov hyperbolicity of such domains with their hyperbolic
Herron, David A., Buckley, Stephen M.
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Chaos, Complexity and Transport, 2008 13 pages, 27 figures. PDFLaTeX with RevTeX4-1 macros. Fixed some typos and updated references. Published in proceedings of the conference on "Chaos, Complexity, and Transport" (Le Pharo, Marseille, June 2007)
Thiffeault, Jean-Luc, Kamhawi, Khalid
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Non-existence of bi-infinite geodesics in the exponential corner growth model [PDF]
Forum of Mathematics, Sigma, 2019 This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights.
M. Balázs +2 more
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Lyapunov exponent, ISCO and Kolmogorov–Senai entropy for Kerr–Kiselev black hole
European Physical Journal C: Particles and Fields, 2021 Geodesic motion has significant characteristics of space-time. We calculate the principle Lyapunov exponent (LE), which is the inverse of the instability timescale associated with this geodesics and Kolmogorov–Senai (KS) entropy for our rotating Kerr ...
Monimala Mondal +2 more
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