On the probability of being synchronizable
WebThe probability of being synchronizable for 2-letter random automata with n states equals 1−Θ(1 n). 3. Connectivity and the Upper Bound Let us call subautomaton a terminal … Web2 The Probability of Being Synchronizable. Let Q stand for \ {1,2, \dots n\} and \varSigma _n for the probability space of all unambiguous maps from Q to Q with the uniform …
On the probability of being synchronizable
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Web12 de nov. de 2024 · Chinese Annals of Mathematics, Series B - In this paper, the synchronizable system is defined and studied for a coupled system of wave equations with the same wave speed or with different wave speeds. ... Similar articles being viewed by others. Slider with three articles shown per slide. Web18 de fev. de 2016 · In another corollary, we show that the probability that the Cerny conjecture does not hold for a random synchronizing binary automaton is exponentially …
Web2 The probability of being synchronizable Let Q stand for {1,2,...n} and Σn for the probability space of all unambiguous maps from Q to Q with the uniform probability distribution. Throughout this section let A = hQ,{a,b}i be a random automaton, that is, maps a and b are chosen independently at random from Σn. WebWe prove that a random automaton with n states and any fixed non-singleton alphabet is synchronizing with high probability. Moreover, we also prove that the convergence rate is ... Go to cart. Search SpringerLink. Search. On the Probability of Being Synchronizable. No cover available. Over 10 million scientific documents at your fingertips ...
Web21 de abr. de 2013 · The probability of being synchronizable Let Q stand for { 1 , 2 , . . . , n } and Σ n for the probability space of all unambiguous maps from Q to Q with the …
Web2 The probability of being synchronizable Let Qstand for {1,2,...n} and Σ n stand for the probability space of all un- ambiguous maps from Qto Qwith the uniform probability … dancing ledge swanageWebWe consider two basic problems arising in the theory of synchronizing automata: deciding, whether or not a given n-state automaton is synchronizing and the problem of approximating the reset threshold for a given synchronizing automaton. birkdale weather 4159WebMaximally synchronizable networks (MSNs) are acyclic directed networks that maximize synchronizability. In this paper, we investigate the feasibility of transforming networks of coupled oscillators into their correspon… birkdale tower lodge southport cqcWebWe prove that a random automaton with n states and any fixed non-singleton alphabet is synchronizing with high probability. Moreover, we also prove that the convergence rate is exactly \(1-\varTheta (\frac{1}{n})\) as conjectured by Cameron [ 4 ] for the most interesting binary alphabet case. birkdale weather forecastWebProbability is simply how likely something is to happen. Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. View all of Khan Academy’s lessons and practice exercises on probability and statistics. birkdale waste transfer stationWebJ un 2 01 6 On the probability of being synchronizable. M. Berlinkov; ... It is proved that a small change is enough for automata to become synchronizing with high probability, and it is established that the probability that a strongly connected almost-group automaton is not synchronizing is \(\frac{2^{k-1}-1}{n^{2( k-1)}} ... dancing led light circuit diagramWebBarahona and Pecora showed analytically that, for linear oscillators, a network is more synchronizable the lower the relation Evolving networks and the development of neural systems 8 1 0 r N=1000 N=1500 -1 N=2000 0.5 1 1.5 2 mst α 5 102 103 Q λN Q λΝ 0 0 0.5 1 1.5 2 0 α 0.5 1 1.5 2 α Figure 3. birkdale wealth management