What is known today as the Lee-Friedrichs model is characterized by a self-adjoint operator H on a Hilbert space H, which is the sum of two self-adjoint operators H0 and V , such that H,H0 and V have common domain; H0 has absolutely continuous spectrum (of uniform multiplicity) except for the end-point of the semi-bounded from below spectrum, and one or more eigenvalues which may or may not be ...

Term structure models describe the evolution of the yield curve through time, without considering the influence of risk, tax, etc. Recently, uncertain processes were initialized and applied to option pricing and currency model. Under the assumption of short interest rate following uncertain processes, this paper investigates the term-structure equation. This equation is first derived for valuin...

To understand the distribution of the Yang–Lee zeros in quantum integrable field theories we analyse the simplest of these systems given by the 2D Yang– Lee model. The grand-canonical partition function of this quantum field theory, as a function of the fugacity z and the inverse temperature β, can be computed in terms of the thermodynamics Bethe Ansatz based on its exact S-matrix. We extract t...

Spot Rate Models 3 Equivalent Martingale Measure (Reference Only) . . . . . . . . . . . . . . . . . . 3 Spot Rate Models: Ideas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 The Bond Price Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Inversion of the Yield Curve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Affine Term Structure Mo...

The migration of a rigid sphere in a two-dimensional unidirectional shear flow of a second-order fluid was considered by Ho & Leal (1976). It was found that the sphere would migrate in the direction of decreasing absolute shear rate. The present paper extends the previous results to a general quadratic flow, and also considers the case of a spherical drop.