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Conversely, we show, for a wide class of reduced Witt rings R , that the ascend- ing chain condition on principal ideals implies R has finite chain length.. The proof relies
Probabilistic finite state automata generating strings of let- ters is used to represent the symbolic time series.. A symbolic time series as a model is developed, and a measure of
Richmond studies the asymptotic behaviour for partition functions and their differences for sets satisfying certain stronger conditions.. The results none-the-less apply to the cases
Applying Lemma 4.1 to each fully indecomposable component of (4.1) shows there exists a permanent maximizer whose fully indecomposable compo- nents are striped... Let nnzr Ai denote
We are interested here in concentration for the linear statistics of the spectral measure and for the largest eigenvalue of the Wishart matrix Y ∗ Y , where the entries of Y form
We then consider generalized quadratic variations of Gaussian fields with stationary increments under the assumption that their spectral density is asymptotically self-similar and
For walks on continuous groups, we mention the work of Rosenthal [19] and Porod [17, 18], who obtain total variation rates of convergence for random walks on SO ( n ) and other
(Ordinary differential equations constitute a special case; we will mention those later.) We define the partial derivatives of the dependent variables as new variables (prolongation)
