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We study multi-period inventory control systems in which managers face seasonal demands with unknown distributions and make inventory decisions based on past demand data. It can be shown that a data-d...
We consider the problem of multi-period portfolio optimization over a finite horizon, with a self-financing budget constraint and arbitrary distribution of asset returns, with objective to minimize th...
In this paper we define a new type of modular object and construct explicit examples of such functions. Our functions are closely related to cusp forms constructed by Zagier which played an important ...
Abstract: We introduce a new technique of completion for 1-cohomology which parallels the corresponding technique in the theory of mock modular forms. This technique is applied in the context of non-c...
A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al. [Phys. Rev. Lett. 96, 145701 (2006)] to exhibit a phase transition at a critical value of the coupling...
Some time ago, Thies et al. showed that the Gross-Neveu model with a bare mass term possesses a kink-antikink crystalline phase. Corresponding self-consistent solutions, known earlier in polymer physi...
In this article we study the families of K3 surfaces derived from 3 dimensional 5 verticed re- flexive polytopes with at most terminal singularity. We determine the lattice structures, the period dif...
In this article we study the period map for a family of K3 surfaces which is given by the anticanon-ial divisor of a toric variety. We determine the period di erential equation and its monodromy group...
A universal period doubling cascade analogous to the famous Feigenbaum-Coullet-Tresser period doubling has been observed in area-preserving maps of R2. Existence of the “universal” map with orbits of ...
Let Sp2n be the symplectic group over k, an algebraically closed field of characteristic 0; and let X denote a smooth, projective, connected curve over k of genus g  2. There is a stack Bunrs Sp2n of...
Let q be any prime power and let d be a positive integer greater than 1. In this paper, we construct a family of Mary sequences of period q−1 from a given M-ary.
The appearance of infinitely-many period-doubling cascades is one of the most prominent features observed in the study of maps depending on a parameter. They are associated with chaotic behavior, sinc...
Starting from the cycle permutation sigma_(2^k) associated with the (2^k)-periodic orbit of the period doubling cascade we obtain the inverse permutation (sigma_(2^k))^-1. Then we build a matrix permu...
In this paper the homogenization method is improved to develop one kind of dual coupled approximate method, which reflects both the macro-scope properties of whole structure and its loadings, and m...

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