Results 111 to 120 of about 33,778 (318)

Hypersurface Constrained Elasticae in Lorentzian Space Forms

Advances in Mathematical Physics, 2015
We study geodesics in hypersurfaces of a Lorentzian space form M1n+1(c), which are critical curves of the M1n+1(c)-bending energy functional, for variations constrained to lie on the hypersurface. We characterize critical geodesics showing that they live
Óscar J. Garay, Álvaro Pámpano, Changhwa Woo   +2 more
doaj   +1 more source

A new dynamic distribution model for Antarctic krill reveals interactions with their environment, predators, and the commercial fishery in the south Scotia Sea region

Limnology and Oceanography, EarlyView.
Abstract The management strategy for the Antarctic krill (Euphausia superba) fishery is being revised. A key aim is to spatially and temporally allocate catches in a manner that minimizes impacts to both the krill stock and dependent predators. This process requires spatial information on the distribution and abundance of krill, yet gaps exist for an ...
Jennifer J. Freer, Victoria Warwick‐Evans, Georg Skaret, Bjørn A. Krafft, Sophie Fielding, Philip N. Trathan   +5 more
wiley   +1 more source

Reconstructing volatility: Pricing of index options under rough volatility

Mathematical Finance, Volume 33, Issue 1, Page 19-40, January 2023., 2023
Abstract Avellaneda et al. (2002, 2003) pioneered the pricing and hedging of index options – products highly sensitive to implied volatility and correlation assumptions – with large deviations methods, assuming local volatility dynamics for all components of the index.
Peter K. Friz, Thomas Wagenhofer
wiley   +1 more source

Regularity and separation for Grušin‐type p‐Laplace operators

Mathematische Nachrichten, EarlyView.
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley   +1 more source

Geodesics on an ellipsoid in Minkowski space [PDF]

arXiv, 2007
We describe the geometry of geodesics on a Lorentz ellipsoid: give explicit formulas for the first integrals (pseudo-confocal coordinates), curvature, geodesically equivalent Riemannian metric, the invariant area-forms on the time- and space-like geodesics and invariant 1-form on the space of null geodesics.
arxiv  

Parallel Parking Path Planning and Trajectory Tracking in Narrow Environments for Autonomous Unmanned Vehicles

Optimal Control Applications and Methods, EarlyView.
ABSTRACT To address the challenge of parallel parking in narrow environments, a multi‐segment path planning method is proposed for autonomous unmanned vehicles (AUVs), which integrates circular arc and dual clothoid curves, ensuring continuous path curvature and minimal longitudinal space occupancy.
Ziyang Zhang, Guangwei Cheng, Zhanzheng Guo, Hamid Reza Karimi, Yanyang Lu   +4 more
wiley   +1 more source

APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS

Selecciones Matemáticas, 2016
In this paper, we proposes an algorithm to approximate the Geodesic distance between points p and q of sphere, through the numerical solution of initial value problem associated with the system of ordinary differential equations of the geodesics; for ...
Franco Rubio, Ronald León
doaj   +1 more source

Active Layer Warming and Thickening on CALM‐S JGM, James Ross Island, in the Period 2013/14–2022/23

Permafrost and Periglacial Processes, EarlyView.
ABSTRACT The Circumpolar Active Layer Monitoring‐South (CALM‐S) site was established near the Johann Gregor Mendel (JGM) research station on James Ross Island in February 2014. The CALM‐S JGM grid, measuring 80 × 70 m, encompasses two distinct lithological units: a Holocene marine terrace (covering approximately 75% of the grid) and Cretaceous ...
Filip Hrbáček, Michaela Kňažková, Kamil Láska, Lucia Kaplan Pastíriková   +3 more
wiley   +1 more source

GEOMETRIC ANALYSIS OF PLANAR SHAPES WITH APPLICATIONS TO CELL DEFORMATIONS

Image Analysis and Stereology, 2015
Shape analysis is of great importance in many fields such as computer vision, medical imaging, and computational biology. In this paper we focus on a shape space in which shapes are represented by means of planar closed curves.
Ximo Gual-Arnau, Silena Herold-García, Amelia Simó   +2 more
doaj   +1 more source

Existence of periodic orbits for geodesible vector fields on closed 3-manifolds [PDF]

Ergodic Theory Dynam. Systems 30 (2010), no. 6, 1817-1841, 2009
In this paper we deal with the existence of periodic orbits of geodesible vector fields on closed 3-manifolds. A vector field is geodesible if there exists a Riemannian metric on the ambient manifold making its orbits geodesics. In particular, Reeb vector fields and vector fields that admit a global section are geodesible. We will classify the closed 3-
arxiv