نتایج جستجو برای: weak ergodicity

تعداد نتایج: 147129  

2008
RAMON VAN HANDEL

Abstract. The nonlinear filter associated with the discrete time signal-observation model (Xk, Yk) is known to forget its initial condition as k → ∞ regardless of the observation structure when the signal possesses sufficiently strong ergodic properties. Conversely, it stands to reason that if the observations are sufficiently informative, then the nonlinear filter should forget its initial con...

Journal: :Journal of Mathematical Analysis and Applications 2022

For continuous-time Markov chains, we provide criteria for non-ergodicity, non-algebraic ergodicity, non-exponential and non-strong ergodicity. discrete-time ergodicity are given. Our in terms of the existence solutions to inequalities involving Q-matrix (or transition matrix P time-discrete case) chain. Meanwhile, these practical applied some examples, including a special class single birth pr...

Journal: :Physical review research 2021

Eigenstate thermalization hypothesis (ETH) has played a pivotal role in understanding ergodicity and its breaking isolated quantum many-body systems. The recent experiment on 51-atom Rydberg simulator by Bernien et al. [Nature (London) 551, 579 (2017)] subsequent theoretical analysis have shown that hardcore kinetic constraint can lead to weak breaking. In this work, we demonstrate, using $1d$ ...

Journal: :Stochastic Processes and their Applications 2023

We consider a class of semi-linear differential Volterra equations with memory terms, polynomial nonlinearities and random perturbation. For broad nonlinearities, we show that the system in concern admits unique weak solution. Also, any statistically steady state must possess regularity compatible Moreover, if sufficiently many directions are stochastically forced, employ generalized coupling a...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2015
Tomoshige Miyaguchi Takuma Akimoto

Models with mixed origins of anomalous subdiffusion have been considered important for understanding transport in biological systems. Here one such mixed model, the quenched-trap model (QTM) on fractal lattices, is investigated. It is shown that both ensemble- and time-averaged mean-square displacements (MSDs) show subdiffusion with different scaling exponents, i.e., this system shows weak ergo...

2006
Yoav Etzioni Swarnali Bandopadhyay Doron Cohen

The calculation of the conductance of ballistic rings requires a theory that goes well beyond the Kubo-Drude formula. Assuming “mesoscopic” circumstance of very weak environmental relaxation, the conductance is much smaller compared with the naive expectation. Namely, the electro-motiveforce induces an energy absorption with a rate that depends crucially on the possibility to make connected seq...

1996
Wolfram Just

A mean–field formulation is used to investigate the bifurcation diagram for globally coupled tent maps by means of an analytical approach. It is shown that the period doubling sequence of the single site map induces a continuous family of periodic states in the coupled system. This type of collective motion breaks the ergodicity of the coupled map lattice. The stability analysis suggests that t...

2016
Stephan Eule

Temporally disordered systems frequently exhibit complex intermittent dynamics accompanied by aging and weak ergodicity breaking. Here, we analyze the response behavior of temporally disordered dynamical processes by employing a functional representation. We find that the linear response to an external perturbation is history-dependent and explicitly calculate the response function for a sub-di...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید