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As a first application of Theorem 1 and the techniques elaborated in its proof we develop in Section 4 the lowest order perturbation theory for the integrated density of states (IDS)
The easiest types of D are Dirichlet L -functions and their variations; a somewhat more complex case involves elliptic functions.. In this paper we always assume that χ is primitive
Panin and Smirnov deduced the existence of push-forwards, along projective morphisms, in a cohomology theory with cup products, from the assumption that the theory is endowed with
Liapunov’s method is normally used to study the stability properties of the zero solution of differential and difference equations.. Certain difficulties arise when Liapunov’s method
It is demonstrated that combining is often useful in settling the problems of functional analysis which stem mainly from the theory of vector
The second theorem of this paper shows that it is possible to obtain an asymptotically normally distributed estimator of the short-run parameter by including an intercept in
Such an analysis should lead to the question, ``what if education is not linear but rather conforms to a nonlinear system pattern of behavior?'' What would this mean for our
In this paper, stochastic control theory is applied to answer the following question: if an insurer has the possibility to invest part of his surplus into a risky asset, what is
