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In the present paper, we study transport properties of coherent vortices. These structures are formed by tubes of fluid parcels that complete similar material rotation. Here, we demonstrate that time $t_0$ positions of such physical…

Fluid Dynamics · Physics 2021-12-16 Anass El Aouni , Arthur Vidard

Recently a new Lagrangian framework was introduced to describe interactions between scalar fields and relativistic perfect fluids. This allows two consistent generalizations of coupled quintessence models: non-vanishing pressures and a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-30 Tomi S. Koivisto , Emmanuel N. Saridakis , Nicola Tamanini

We present a comparative analysis of several methods, known as local Lagrangian approximations, which are aimed to the description of the nonlinear evolution of large-scale structure. We have investigated various aspects of these…

Astrophysics · Physics 2009-11-06 Martin Makler , Takeshi Kodama , Mauricio O. Calvao

Lagrangian Descriptors (LDs) are scalar quantities able to reveal separatrices, manifolds of hyperbolic saddles, and chaotic seas of dynamical systems. A popular version of the LDs consists in computing the arc-length of trajectories over a…

Dynamical Systems · Mathematics 2022-10-25 Pedenon-Orlanducci Remi , Carletti Timoteo , Lemaitre Anne , Daquin Jerome

Longitudinal analysis is important in many disciplines, such as the study of behavioral transitions in social science. Only very recently, feature selection has drawn adequate attention in the context of longitudinal modeling. Standard…

Methodology · Statistics 2016-10-26 Tingyang Xu , Jiangwen Sun , Jinbo Bi

Oceanic surface flows are dominated by finite-time Lagrangian coherent structures that separate regions of qualitatively different dynamical behavior. Among these, eddy boundaries are of particular interest. Their exact identification is…

Atmospheric and Oceanic Physics · Physics 2019-05-17 Benedict Lünsmann , Holger Kantz

Live sequence charts (LSCs) have been proposed as an inter-object scenario-based specification and visual programming language for reactive systems. In this paper, we introduce a logic-based framework to check the consistency of an LSC…

Logic in Computer Science · Computer Science 2010-02-17 Hai-Feng Guo , Wen Zheng , Mahadevan Subramaniam

We explore the possibility to identify areas of intense patch formation from floating items due to systematic convergence of surface velocity fields by means of a visual comparison of Lagrangian Coherent Structures (LCS) and estimates of…

Atmospheric and Oceanic Physics · Physics 2021-02-11 Andrea Giudici , Kabir Suara , Tarmo Soomere , Richard Brown

The three-dimensional Time-Resolved Lagrangian Particle Tracking (3D TR-LPT) technique has recently advanced flow diagnostics by providing high spatiotemporal resolution measurements under the Lagrangian framework. To fully exploit its…

Fluid Dynamics · Physics 2023-08-21 Lanyu Li , Zhao Pan

A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, which are mixture distribution models constrained to satisfy the…

Probability · Mathematics 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

In many applications of finance, biology and sociology, complex systems involve entities interacting with each other. These processes have the peculiarity of evolving over time and of comprising latent factors, which influence the system…

Machine Learning · Statistics 2018-08-03 Federico Tomasi , Veronica Tozzo , Saverio Salzo , Alessandro Verri

We explore the application of the reference map technique, originally developed for the Eulerian simulation of solid mechanics, in Lagrangian kinematics of fluid flows. Unlike traditional methods based on explicit particle tracking, the…

Fluid Dynamics · Physics 2024-12-04 Imran Hayat , Ryan T. Black , George Ilhwan Park

Deterministic and probabilistic tools from nonlinear dynamics are used to assess enduring near-surface Lagrangian aspects of the Malvinas Current. The deterministic tools are applied on a multi-year record of velocities derived from…

Atmospheric and Oceanic Physics · Physics 2020-02-19 FJ Beron-Vera , N. Bodnariuk , M. Saraceno , MJ Olascoaga , C Simionato

Laparoscopy is an electrosurgical medical operation often involving an application of high-frequency alternating current to remove undesired biological tissue from the insufflated abdomen accessible through inlet and outlets trocars. One of…

Time-evolving graphs arise frequently when modeling complex dynamical systems such as social networks, traffic flow, and biological processes. Developing techniques to identify and analyze communities in these time-varying graph structures…

Social and Information Networks · Computer Science 2025-03-18 Maia Trower , Nataša Djurdjevac Conrad , Stefan Klus

We define the task of salient structure (SS) detection to unify the saliency-related tasks like fixation prediction, salient object detection, and other detection of structures of interest. In this study, we propose a unified framework for…

Computer Vision and Pattern Recognition · Computer Science 2016-06-08 Kai-Fu Yang , Hui Li , Chao-Yi Li , Yong-Jie Li

The extraction of the parameters of the supersymmetric Lagrangian is discusse d. Particular emphasis is put on the rigorous treatment of experimental and theo retical errors. While the LHC can provide a valuable first estimate of the…

High Energy Physics - Phenomenology · Physics 2009-02-02 Dirk Zerwas

Recurrence plots exhibit line structures which represent typical behaviour of the investigated system. The local slope of these line structures is connected with a specific transformation of the time scales of different segments of the…

Chaotic Dynamics · Physics 2007-05-23 Norbert Marwan , Juergen Kurths

Open-vocabulary 3D scene understanding is crucial for applications requiring natural language-driven spatial interpretation, such as robotics and augmented reality. While 3D Gaussian Splatting (3DGS) offers a powerful representation for…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 Wei Sun , Yanzhao Zhou , Jianbin Jiao , Yuan Li

The temporal characterization of ultrafast laser pulses has become a cornerstone capability of ultrafast optics laboratories and is routine both for optimizing laser pulse duration and designing custom fields. Beyond pure temporal…

Optics · Physics 2020-10-28 Spencer W. Jolly , Olivier Gobert , Fabien Quéré