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Aging Renewal Theory and Application to Random Walks
Physical Review X, 2014 We discuss a renewal process in which successive events are separated by scale-free waiting time periods. Among other ubiquitous long-time properties, this process exhibits aging: events counted initially in a time interval [0,t] statistically strongly ...
Johannes H. P. Schulz +2 more
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Rejuvenating functional responses with renewal theory. [PDF]
J R Soc Interface, 2018 Functional responses are widely used to describe interactions and resource exchange between individuals in ecology. The form given to functional responses dramatically affects the dynamics and stability of populations and communities. Despite their importance, functional responses are generally considered with a phenomenological approach, without clear
Billiard S, Bansaye V, Chazottes JR.
europepmc +7 more sources
Cycle Factors and Renewal Theory [PDF]
Communications on Pure and Applied Mathematics, 2015 For which values of k does a uniformly chosen 3‐regular graph G on n vertices typically contain n/k vertex‐disjoint k‐cycles (a k‐cycle factor)? To date, this has been answered for k = n and for k ≪ log n; the former, the Hamiltonicity problem, was finally answered in the affirmative by Robinson and Wormald in 1992, while the answer in the latter case
Kahn, Jeff +2 more
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Research on assessment methods and practical analysis of livable communities in Chongqing from an urban renewal perspective [PDF]
Scientific ReportsWith the rapid construction and development of cities, aging communities have emerged with problems such as long-standing buildings, poor living environments, uneven distribution of public service facilities, aging infrastructure, and inconvenient ...
Chenxi Ma +3 more
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Patterns of Detachment: Spatial Transformations of the Phosphate Industry in el-Quseir, Egypt
Urban Planning, 2023 The establishment of phosphate mines and processing plants by Italian entrepreneurs in el-Quseir in 1912 revitalized a town that had faced a steady decline after the opening of the Suez Canal and re-linked it to the world economy.
Mirhan Damir, Martin Meyer, Hellen Aziz
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On geometric recurrence for time-inhomogeneous autoregression
Modern Stochastics: Theory and Applications, 2023 The time-inhomogeneous autoregressive model AR(1) is studied, which is the process of the form ${X_{n+1}}={\alpha _{n}}{X_{n}}+{\varepsilon _{n}}$, where ${\alpha _{n}}$ are constants, and ${\varepsilon _{n}}$ are independent random variables. Conditions
Vitaliy Golomoziy
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Really Ageing Systems Undergoing a Discrete Maintenance Optimization
Mathematics, 2022 In general, a complex system is composed of different components that are usually subject to a maintenance policy. We take into account systems containing components that are under both preventive and corrective maintenance.
Radim Briš, Pavel Jahoda
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A Note on the Transience of Critical Branching Random Walks on the Line [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Gantert and Müller (2006) proved that a critical branching random walk (BRW) on the integer lattice is transient by analyzing this problem within the more general framework of branching Markov chains and making use of Lyapunov functions. The main purpose
Gerold Alsmeyer, Matthias Meiners
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Weighted Mean Inactivity Time Function with Applications
Mathematics, 2022 We consider an extension of the mean inactivity time based on a non-negative weight function. We show various properties of the new notion, and relate it to various functions of interest in reliability theory and information measures, such as the dynamic
Antonio Di Crescenzo, Abdolsaeed Toomaj
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Frontiers in Physiology, 2022 Background and Objective: Renewal theory is a statistical approach to model the formation and destruction of phase singularities (PS), which occur at the pivots of spiral waves.
Evan V. Jenkins +18 more
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