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Hitting time results for Maker-Breaker games [PDF]

open access: greenRandom Structures & Algorithms, 2010
AbstractWe study Maker‐Breaker games played on the edge set of a random graph. Specifically, we analyze the moment a typical random graph process first becomes a Maker's win in a game in which Maker's goal is to build a graph which admits some monotone increasing property \documentclass{article} \usepackage{mathrsfs} \usepackage{amsmath,amssymb ...
Sonny Ben-Shimon   +3 more
core   +7 more sources

Universal Hitting Time Statistics for Integrable Flows. [PDF]

open access: hybridJ Stat Phys, 2017
The perceived randomness in the time evolution of "chaotic" dynamical systems can be characterized by universal probabilistic limit laws, which do not depend on the fine features of the individual system. One important example is the Poisson law for the times at which a particle with random initial data hits a small set.
Dettmann CP   +2 more
europepmc   +10 more sources

Mixed Hitting-Time Models [PDF]

open access: yesSSRN Electronic Journal, 2007
We study mixed hitting-time models, which specify durations as the first time a Levy process (a continuous-time process with stationary and independent increments) crosses a heterogeneous threshold. Such models of substantial interest because they can be reduced from optimal-stopping models with heterogeneous agents that do not naturally produce a ...
Jaap Abbring
core   +14 more sources

Mean Hitting Time for Random Walks on a Class of Sparse Networks [PDF]

open access: yesEntropy, 2021
For random walks on a complex network, the configuration of a network that provides optimal or suboptimal navigation efficiency is meaningful research. It has been proven that a complete graph has the exact minimal mean hitting time, which grows linearly
Jing Su, Xiaomin Wang, Bing Yao
doaj   +2 more sources

Non-Alcoholic Fatty Liver Disease and COVID-19–Two Pandemics Hitting at the Same Time [PDF]

open access: goldMedicina, 2021
The COVID-19 pandemic was and still is a global burden with more than 178,000,000 cases reported so far. Although it mainly affects respiratory organs, COVID-19 has many extrapulmonary manifestations, including, among other things, liver injury.
Luka Vranić   +4 more
doaj   +2 more sources

Hitting Times of Bessel Processes [PDF]

open access: yesPotential Analysis, 2012
Let $T_1^{( )}$ be the first hitting time of the point 1 by the Bessel process with index $ \in \R$ starting from $x>1$. Using an integral formula for the density $q_x^{( )}(t)$ of $T_1^{( )}$, obtained in Byczkowski, Ryznar (Studia Math., 173(1):19-38, 2006), we prove sharp estimates of the density of $T_1^{( )}$ which exibit the dependence ...
Byczkowski, T., Małecki, J., Ryznar, M.
openaire   +3 more sources

First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes [PDF]

open access: diamondSymmetry, Integrability and Geometry: Methods and Applications, 2008
We provide two equivalent approaches for computing the tail distribution of the first hitting time of the boundary of the Weyl chamber by a radial Dunkl process. The first approach is based on a spectral problem with initial value.
Nizar Demni
doaj   +2 more sources

Early marathon running metrics from inertial measurement units predict significant pace reduction [PDF]

open access: yesFrontiers in Sports and Active Living
Marathon runners occasionally experience significant pace reduction in the latter stages of races, a phenomenon known as “hitting the wall”. This study aimed to develop an interpretable model to predict this performance decline using biomechanical ...
Yosuke Miyazaki   +4 more
doaj   +2 more sources

What are the Individual Characteristics or Skills Associated with Baseball Batting Performance? A Scoping Review [PDF]

open access: yesSports Medicine - Open
Background In baseball, batting performance can be measured using game and advanced statistics as well as hitting metrics. To date, the core set of individual characteristics or skills associated with superior batting performance remains to be identified.
Mathieu Tremblay   +3 more
doaj   +2 more sources

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