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Information on the probability law of the process is limited.
Notice that the probability law of the process ((R^{(pi )}_{t})) is supported in (mathcal{C}_{T}).
Self-stabilizing processes are inhomogeneous diffusions in which the law of the process intervenes in the drift.
We first prove the tightness of the process (X_{n}^{theta}) and then identify the limit law of the process (X_{n}^{theta}).
The value of x, that is, the actual distance actually run at each time instant will be determined by the law of the process under consideration (here, running speed).
which implies, in particular, convergence in law of the process ( X t i, N, t ≤ T ) towards ( X ¯ t α, t ≤ T ) solution of the mean-field equations (Equation 22).
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Rate laws of the processes and parameter values of the submodel have been taken from Karelina et al. (and references contained therein).
The Iron Law of the peace process is that whoever makes the Israeli silent majority feel morally insecure about occupation but strategically secure in Israel wins.
"What is going on in Zimbabwe is against the spirit and the law of the Kimberley Process," said Annie Dunnebacke from Global Witness, one of the groups that takes part in the KP.
Convergence3: For each neuron i of population α, the law of the multidimensional process X i, N converges towards the law of the solution of the mean-field equation related to population α, namely X ¯ α.
"Preliminaries" section gives some key preliminaries: we reformulate the LQCMKV problem into a problem involving the conditional law of the state process as state variable for which a dynamic programming verification theorem is stated and time consistency holds.
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