On the probability of being synchronizable
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 exactly \(1-\varTheta (\frac{1}{n})\) as conjectured by Cameron [ 4 ] for the most interesting binary alphabet case. WebJ 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)}} ...
On the probability of being synchronizable
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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 … WebWe study the problem of synchronization of automata with random inputs. We present a series of automata such that the expected number of steps until synchronization is exponential in the number of states. At the same time, we …
Web2 M. Berlinkov In terms of the provided example, the result of this paper is quite positive; we prove that for a uniformly at random chosen dungeon (automaton) there is a life-sav WebBarahona 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.
WebIt is proved that a small change is enough for automata to become synchronizing with high probability, and established that the probability that a strongly-connected almost-group automaton is not synchronizing is [Formula: see text], for a[Formula]: see text]-letter alphabet. In this paper we address the question of synchronizing random automata in the …
Web17 de abr. de 2013 · Thanks a lot. Probability of choosing two girls first = 20 32 19 31. The remaining sample space for the third choice is 30. you should be able to calculate the rest. Thanks for your help, but the two girls are chosen firstly by the task itself, I don't have to calculate that, although I've done the rest.
WebSome of the codes, in addition to being synchronizable, produce a coding gain. For an optical Poisson channel the authors introduce joint synchronization and detection … small pickup trucks hybridWeb30 de ago. de 2024 · The probability of a value being between two certain z-scores. Let’s jump in! Example 1: Probability Less Than a Certain Z-Score. Suppose we would like to … highlighter magazine for childrenWeb18 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 … small pickup trucks kia picsWebWe are not allowed to display external PDFs yet. You will be redirected to the full text document in the repository in a few seconds, if not click here.click here. highlighter makeup definitionWeb14 de dez. de 2024 · Let's take a look at an example with multi-colored balls. We have a bag filled with orange, green, and yellow balls. Our event A is picking a random ball out of the bag.We can define Ω as a complete set of balls. The probability of event Ω, which means picking any ball, is naturally 1.In fact, a sum of all possible events in a given set is always … highlighter makeup containersWeb21 de abr. de 2013 · Upload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). small pickup trucks towable on all 4 wheelsWebOriginal language: English: Title of host publication: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) small pickup trucks ford ranger