Understanding the origins of the basic equations of statistical fibrillatory dynamics.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0062095
Abstract: The mechanisms governing cardiac fibrillation remain unclear; however, it most likely represents a form of spatiotemporal chaos with conservative system dynamics. Renewal theory has recently been suggested as a statistical formulation with governing equations to… read more here.
Keywords: cardiac fibrillation; renewal theory; fibrillatory dynamics; spatiotemporal chaos ... See more keywords
Analyzing Postcrisis Challenges and Strategies Associated With School Shootings: An Application of Discourse of Renewal Theory
Sign Up to like & getrecommendations! Published in 2017 at "Communication Studies"
DOI: 10.1080/10510974.2017.1373370
Abstract: In recent years, the need to understand and identify effective data-driven strategies for the communication challenges faced by schools associated with school shootings has become paramount. The current study reports findings from 10 face-to-face interviews… read more here.
Keywords: associated school; discourse renewal; school shootings; renewal theory ... See more keywords
The Buffon needle problem for Lévy distributed spacings and renewal theory
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ac4042
Abstract: What is the probability that a needle dropped at random on a set of points scattered on a line segment does not fall on any of them? We compute the exact scaling expression of this… read more here.
Keywords: buffon needle; needle problem; renewal; renewal theory ... See more keywords
Renewal theory for transient Markov chains with asymptotically zero drift
Sign Up to like & getrecommendations! Published in 2020 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/8167
Abstract: We solve the problem of asymptotic behaviour of the renewal measure (Green function) generated by a transient Lamperti's Markov chain $X_n$ in $\mathbf R$, that is, when the drift of the chain tends to zero… read more here.
Keywords: drift; markov chains; renewal measure; renewal ... See more keywords
Conditioned backward and forward times of diffusion with stochastic resetting: A renewal theory approach.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.034126
Abstract: Stochastic resetting can be naturally understood as a renewal process governing the evolution of an underlying stochastic process. In this work, we formally derive well-known results of diffusion with resets from a renewal theory perspective.… read more here.
Keywords: conditioned backward; backward forward; forward times; renewal theory ... See more keywords