Complete Ergodicity in One-Dimensional Reversible Cellular Automata
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-025-03529-3
Abstract: Exactly ergodicity in boundary-driven semi-infinite cellular automata (CA) are investigated. We establish all the ergodic rules in CA with 3, 4, and 5 states. We analytically prove the ergodicity for 18 rules in 3-state CA… read more here.
Keywords: cellular automata; ergodicity one; complete ergodicity; ergodicity ... See more keywords
Weak Ergodicity in G-NHMS
Sign Up to like & getrecommendations! Published in 2024 at "Methodology and Computing in Applied Probability"
DOI: 10.1007/s11009-024-10101-1
Abstract: In the present we provide the definition of the new concept of the General Non-Homogeneous Markov System (G-NHMS) and establish the expected population structure of a NHMS in the various states. These results will be… read more here.
Keywords: ergodicity nhms; weak ergodicity; expected relative; ergodicity ... See more keywords
Unique Ergodicity of Deterministic Zero-Sum Differential Games
Sign Up to like & getrecommendations! Published in 2021 at "Dynamic Games and Applications"
DOI: 10.1007/s13235-020-00355-y
Abstract: We study the ergodicity of deterministic two-person zero-sum differential games. This property is defined by the uniform convergence to a constant of either the infinite-horizon discounted value as the discount factor tends to zero, or… read more here.
Keywords: ergodicity; differential games; zero sum; ergodicity deterministic ... See more keywords
Coexistence of ergodicity and nonergodicity in the aging two-state random walks.
Sign Up to like & getrecommendations! Published in 2022 at "Soft matter"
DOI: 10.1039/d2sm01093c
Abstract: The two-state stochastic phenomenon is observed in various systems and is attracting more interest, and it can be described by the two-state random walk (TSRW) model. The TSRW model is a typical two-state renewal process… read more here.
Keywords: time; state; ergodicity; two state ... See more keywords
Stochastic Burgers type equations with two reflecting walls: Existence, uniqueness and exponential ergodicity
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0213224
Abstract: In this paper, we study stochastic Burgers type equations with two reflecting walls driven by multiplicative noise. We first establish the existence and uniqueness of the solution by Picard iteration technique, the main trouble is… read more here.
Keywords: type equations; stochastic burgers; ergodicity; equations two ... See more keywords
The ergodicity and uniform large deviations for the 1D stochastic Landau-Lifshitz-Bloch equation
Sign Up to like & getrecommendations! Published in 2024 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2024.2399081
Abstract: Abstract In this article, we consider two aspects asymptotic behaviors for the 1D stochastic Landau-Lifshitz-Bloch equation driven by additive noise including the unique ergodicity and the uniform large deviations. Using a deterministic argument relying on… read more here.
Keywords: stochastic landau; landau lifshitz; lifshitz bloch; ergodicity ... See more keywords
Ergodicity, hidden bias and the growth rate gain.
Sign Up to like & getrecommendations! Published in 2018 at "Physical biology"
DOI: 10.1088/1478-3975/aab0e6
Abstract: Many single-cell observables are highly heterogeneous. A part of this heterogeneity stems from age-related phenomena: the fact that there is a nonuniform distribution of cells with different ages. This has led to a renewed interest… read more here.
Keywords: ergodicity; growth; growth rate; rate gain ... See more keywords
Are people with chronic pain more diverse than we think? An investigation of ergodicity.
Sign Up to like & getrecommendations! Published in 2025 at "Pain"
DOI: 10.1097/j.pain.0000000000003573
Abstract: ABSTRACT This study investigates whether data from people with endometriosis (n = 58) and fibromyalgia (n = 58) exhibit what is called "ergodicity," meaning that results from analyses of aggregated group data can be used… read more here.
Keywords: person; people chronic; chronic pain; within person ... See more keywords
Towards absolutely stable ergodicity breaking in two and three dimensions
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review B"
DOI: 10.1103/physrevb.111.l020302
Abstract: We propose new physically reasonable systems capable of avoiding ergodicity at infinite time in the thermodynamic limit, even with generic perturbations and when coupled to a heat bath. In two dimensions, the rainbow loop soup… read more here.
Keywords: energy; ergodicity breaking; ergodicity; towards absolutely ... See more keywords
Ergodicity, rejuvenation, enhancement, and slow relaxation of diffusion in biased continuous-time random walks.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.98.022105
Abstract: Bias plays an important role in the enhancement of diffusion in periodic potentials. Using the continuous-time random walk in the presence of a bias, we report on an interesting phenomenon for the enhancement of diffusion… read more here.
Keywords: ergodicity; time random; diffusion; time ... See more keywords
Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and Designs
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review X"
DOI: 10.1103/physrevx.14.041059
Abstract: Despite its long history, a canonical formulation of quantum ergodicity that applies to general classes of quantum dynamics, including driven systems, has not been fully established. Here we introduce and study a notion of quantum… read more here.
Keywords: hilbert space; quantum ergodicity; space ergodicity; ergodicity ... See more keywords