Oklahoma State University–Stillwater

About: Oklahoma State University–Stillwater is a education organization based out in Stillwater, Oklahoma, United States. It is known for research contribution in the topics: Population & Large Hadron Collider. The organization has 18267 authors who have published 36743 publications receiving 1107500 citations. The organization is also known as: Oklahoma State University & OKState.

Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc

Abstract: In this paper, we present foundational material towards the development of a rigorous enumerative theory of stable maps with Lagrangian boundary conditions, ie stable maps from bordered Riemann surfaces to a symplectic manifold, such that the boundary maps to a Lagrangian submanifold. Our main application is to a situation where our proposed theory leads to a well-defined algebro-geometric computation very similar to well-known localization techniques in Gromov–Witten theory. In particular, our computation of the invariants for multiple covers of a generic disc bounding a special Lagrangian submanifold in a Calabi–Yau threefold agrees completely with the original predictions of Ooguri and Vafa based on string duality. Our proposed invariants depend more generally on a discrete parameter which came to light in the work of Aganagic, Klemm, and Vafa which was also based on duality, and our more general calculations agree with theirs up to sign.

The Newsboy Problem With Price-Dependent Demand Distribution

Abstract: This paper considers an extension of the classical newsboy problem where a stochastic price-demand relationship exists for the product. First presented is a versatile approach capable of modeling price-demand relationships of various levels of complexities. Solution procedures are then presented for different optimization objectives. For the simplest price-demand relationship, analytical solutions are obtainable. For other cases, very efficient numerical procedures are developed.