78 end formation modeling, 2) intelligent architectural systems, and 3) emerging technologies and materials; each has a different logic and enhances design in various ways. The goal is to prepare students to help further the field of architecture by introducing these evolving design methods. The architecture school teaches the fundamentals of creative… (More)
We consider the fair martingale prize of insurance contracts with benefit received either at the insurer's demise or at maturity. We show how to modify the dynamics of the underlying so as to incorporate the possibility that the traded stock has a strong support at some level. The resulting dynamics is integrated and the fair prize of several natural… (More)
In this paper we obtain general conditions under which stochastic differential equations possess a strong solution representable in an explicit form as a functional of the Wiener process. Particular interest bears the problem of determining conditions that guarantee non-explosion of the solution. The necessary as well as sufficient condition is derived.
The " elliptic " version of a three-dimensional nonlinear integrable equation, the Toda chain equation, is studied by means of the inverse scattering method. Several classes of decaying solutions corresponding to both the continuous and discrete spectrum of the associated spectral problem are obtained. Conditions that guarantee reality and analyticity along… (More)