This elucidation studies ergodicity and equilibrium measures for additive cellular automata with prime states.
Chih-Hung Chang, Jung-Chao Ban 2009, 'The Topological Pressure of Linear Cellular Automata', Entropyhttp://www.mdpi.com/1099-4300/11/2/271/. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Its generator, ergodicity condition, and stationary distribution are given.
Bin Sun, Moon Ho Lee, Sergey A. Dudin, Alexander N. Dudin 2014, 'Analysis of Multiserver Queueing System with Opportunistic Occupation and Reservationof Servers', Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2014/178108. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The parameter self-adaptation and uniform mutation operator enhance the diversity of populations and guarantee ergodicity.
Zhongbo Hu, Shengwu Xiong, Zhixiang Fang, Qinghua Su 2014, 'A Convergent Differential Evolution Algorithm with Hidden Adaptation Selection forEngineering Optimization', Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2014/135652. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The ergodicity and randomness of the logistic map are dependent on the individual gene position.
Jiahui Liu, Hongli Zhang, Dahua Song 2014, 'The Property of Chaotic Orbits with Lower Positions of Numerical Solutions in theLogistic Map', Entropyhttp://www.mdpi.com/1099-4300/16/11/5618. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Chaotic equations are popularly known for randomness, extreme sensitivity to initial conditions, and ergodicity.
Jeyamala Chandrasekaran, S. J. Thiruvengadam 2015, 'Ensemble of Chaotic and Naive Approaches for Performance Enhancement in Video Encryption',The Scientific World Journalhttp://dx.doi.org/10.1155/2015/458272. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
To the best of our knowledge, first ergodicity and perturbation bounds for this class of processes are obtained.
Zeifman Alexander, Korotysheva Anna, Satin Yacov, Korolev Victor, Shorgin Sergey,Razumchik Rostislav 2015, 'Ergodicity and Perturbation Bounds for Inhomogeneous Birth and Death Processes withAdditional Transitions from and to the Origin', International Journal of Applied Mathematics and Computer Sciencehttp://www.degruyter.com/view/j/amcs.2015.25.issue-4/amcs-2015-0056/amcs-2015-0056.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The solution of the stochastic model has a unique stationary distribution, it also has the characteristics of ergodicity.
Tao Feng, Xinzhu Meng, Lidan Liu, Shujing Gao 2016, 'Application of inequalities technique to dynamics analysis of a stochastic eco-epidemiologymodel', Journal of Inequalities and Applicationshttp://link.springer.com/article/10.1186/s13660-016-1265-z. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
With adaptive smoothing and co-evolution, the proposed method fully absorbs the ergodicity, adaptability and robustness of the cross-entropy method.
Guocheng Li, Pei Liu, Chengyi Le, Benda Zhou 2019, 'A Novel Hybrid Meta-Heuristic Algorithm Based on the Cross-Entropy Method and FireflyAlgorithm for Global Optimization', Entropyhttps://www.mdpi.com/1099-4300/21/5/494. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The condition for checking ergodicity and the steady state solutions are obtained using matrix analytic method.
Anoop N. Nair, M. J. Jacob 2015, 'An s, S Production Inventory Controlled Self-Service Queuing System', Journal of Probability and Statisticshttp://dx.doi.org/10.1155/2015/505082. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)