… new state by taking a random transition from the current state. … DFA this random walk induces
an ergodic Markov chain. The notion of typical DFA is formalized by showing that ergodicity …

… (4.1) occurs whp, when proving Proposition 3.2, we will implicitly assume that the random
DFA G gives rise to an ergodic chain ( P , π ) ; by the discussion at the end of Section 3.1, the …

… , a random walk always starts from the start state q0. In this paper random walks on a DFA
refer to the random walks … Ergodicity of random walks on random DFA. CoRR, abs/1311.6830 (…

… evidence of ergodicity violation. Lubelski et al. [20] showed that this ergodicity violation is due
… joint use of the random walks and of the two scaling analyzes (DE and DFA) can be useful …

… Because we do not know the ergodic properties of the SD in our system, we employ the …
The definition of the ETVAR is similar to the detrended fluctuation analysis (DFA) 22 . In the DFA, …

… Noisy continuous time random walk The continuous time random walk (CTRW) is a family
of random walks with arbitrary displacement density for which the waiting time, ie, the time …

… We begin by showing with numerical simulations on single time series generated by the
velocity model that SDA, DEA and DFA give ambiguous results in the non-ergodic regime. In the …

… The state complexity of a Deterministic Finite-state automaton (DFA) is the number of states
in its minimal equivalent DFA. We study the state complexity of random n-state DFAs over a k-…

… that a process is either ergodic with particles working against … for traps (continuous-time
random walk). However, we find that … Therefore, DFA confirms that the behavior that we describe …

… -range correlations to break ergodicity in SD for all series … noise offers a way to restore
ergodicity to our causal models. … -Gaussian processes show no ergodicity breaking and hence…