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Our aim is to present a new model which encompasses pace optimization and motor control effort for a runner on a fixed distance. We see that for long races, the long term behaviour is well approximated by a turnpike problem. We provide…

Optimization and Control · Mathematics 2021-05-06 Amandine Aftalion , Emmanuel Trélat

Hubble's law, which states a linear increase in velocities with distances, can physically be understood in terms of an acceleration cH. This work proposes a connection between this "universal" acceleration seen in the solar system and the…

General Physics · Physics 2021-11-09 Y. G. Yi

We present wind and temperature profiles at Dome C measured by balloon born sonds during the polar summer. Data from 197 flights have been processed for 4 campaigns between 2000 and 2004. We show the exceptionnal wind conditions at Dome C,…

Instrumentation and Methods for Astrophysics · Physics 2018-12-04 E. Aristidi , A. Agabi , M. Azouit , E. Fossat , J. Vernin , T. Sadibekova , T. Travouillon , J. S. Lawrence , B. Halter , W. L. Roth , V. P. Walden

Radiometric data from the Pioneer 10 and 11 spacecrafts have revealed an unexplained constant acceleration of a_A = (8.74 +/- 1.33) x 10^(-10) m s^(-2) towards the Sun, also known as the Pioneer anomaly. Different groups have analyzed the…

Space Physics · Physics 2008-07-04 Jose A. de Diego

To forecast wind power generation in the scale of years to decades, outputs from climate models are often used. However, one major limitation of the data projected by these models is their coarse temporal resolution - usually not finer than…

Applications · Statistics 2023-09-19 Nina Effenberger , Nicole Ludwig , Rachel H. White

Running world records (WRs) contain information about physiological characteristics that determine running performance. The progression of WRs over time encode the evolution of these characteristics. Here we demonstrate that a previously…

Biological Physics · Physics 2024-01-18 Thorsten Emig , Guillaume Adam

Re-identifying participants in ultra-distance running competitions can be daunting due to the extensive distances and constantly changing terrain. To overcome these challenges, computer vision techniques have been developed to analyze…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 David Freire-Obregón , Javier Lorenzo-Navarro , Oliverio J. Santana , Daniel Hernández-Sosa , Modesto Castrillón-Santana

It is shown that statistics of records for time series generated by random walks are independent of the details of the jump distribution, as long as the latter is continuous and symmetric. In N steps, the mean of the record distribution…

Statistical Mechanics · Physics 2008-08-04 Satya N. Majumdar , Robert M. Ziff

We study the statistics of records of a one-dimensional random walk of n steps, starting from the origin, and in presence of a constant bias c. At each time-step the walker makes a random jump of length \eta drawn from a continuous…

Statistical Mechanics · Physics 2012-08-29 Satya N. Majumdar , Gregory Schehr , Gregor Wergen

Athletes routinely undergo fitness evaluations to evaluate their training progress. Typically, these evaluations require a trained professional who utilizes specialized equipment like force plates. For the assessment, athletes perform drop…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Soumyadip Roy , Chaitanya Roygaga , Nathaniel Blanchard , Aparna Bharati

A two-year measurement campaign of the ZephIR 300 vertical profiling continuous-wave (CW) focusing wind lidar has been carried out by the Royal Netherlands Meteorological Institute (KNMI) at the Cabauw site. We focus on the…

Atmospheric and Oceanic Physics · Physics 2021-05-26 Steven Knoop , Fred Bosveld , Marijn de Haij , Arnoud Apituley

Though athletics statistics are abundant, it is a difficult task to quantitatively compare performances from different events of track, field, and road running in a meaningful way. There are several commonly-used methods, but each has its…

Applications · Statistics 2014-08-27 Brian Godsey

It has long been suspected that flows of incompressible fluids at very large or infinite Reynolds may present finite time singularities. We review briefly the theoretical situation on this point. Then we show that single point records of…

Fluid Dynamics · Physics 2018-01-08 Martine Le Berre , Yves Pomeau

The data from Pioneer 10 and 11 shows an anomalous, constant, Doppler frequency drift that can be interpreted as an acceleration directed towards the Sun of a_P = (8.74 \pm 1.33) x 10^{-8} cm/s^2. Although one can consider a new physical…

General Relativity and Quantum Cosmology · Physics 2016-12-21 John D. Anderson , Eunice L. Lau , Slava G. Turyshev , Philip A. Laing , Michael Martin Nieto

We report on 49 fast-mode forward shocks propagating inside coronal mass ejections (CMEs) as measured by Wind and ACE at 1 AU from 1997 to 2006. Compared to typical CME-driven shocks, these shocks propagate in different upstream conditions,…

Space Physics · Physics 2015-06-03 N. Lugaz , C. J. Farrugia , C. W. Smith , K. Paulson

Wind is the principal driver in the wind erosion models. The hourly wind speed data were generally required for precisely wind erosion modeling. In this study, a simple method to generate hourly wind speed data from daily wind statistics…

Atmospheric and Oceanic Physics · Physics 2013-05-16 Zhongling Guo

Most of the works on the dispersion of droplets and their COVID-19 (Coronavirus disease) implications address droplets' dynamics in quiescent environments. As most droplets in a common situation are immersed in external flows (such as…

Fluid Dynamics · Physics 2021-02-17 Mario Sandoval , Omar Vergara

Record numbers are basic statistics in random walks, whose deviation principles are not very clear so far. In this paper, the asymptotic probabilities of large and moderate deviations for numbers of weak records in right continuous or left…

Probability · Mathematics 2023-01-10 Yuqiang Li , Qiang Yao

This paper introduces a novel measure to quantify the directional dependence of extreme events between two variables. The proposed approach is designed to capture asymmetric tail dependence by studying conditional tail expectations of…

Methodology · Statistics 2026-04-06 Matthieu Garcin , Maxime L. D. Nicolas

To predict the final result of an athlete in a marathon run thoroughly is the eternal desire of each trainer. Usually, the achieved result is weaker than the predicted one due to the objective (e.g., environmental conditions) as well as…

Neural and Evolutionary Computing · Computer Science 2017-05-10 Iztok Fister , Dušan Fister , Suash Deb , Uroš Mlakar , Janez Brest , Iztok Fister