Technique Of Subordination Research Articles

Time quantization andq-deformations

We extend to quantum mechanics the technique of stochastic subordination, by means of which one can express any semi-martingale as a time-changed Brownian motion. As examples, we considered two versions of the q-deformed harmonic oscillator in both ordinary and imaginary time and show how these various cases can be understood as different patterns of time quantization rules.

Sufficient Conditions for Starlikeness and Strong-starlikeness of a Given Order

We find sharp upper bounds for $ \\vert \\,f^{\\prime \\prime }(z)/f^{\\prime }(z) \\vert $ such that the function f be starlike or strongly-starlike of a given order, where f is holomorphic in the unit disc U , with $ f(0)=f^{\\prime }(0)-1=0 $ . These bounds are obtained by using the differential subordination technique. As a useful ingredient we obtain the radius of convexity for the function $ F(z)= z /(\\exp (z)-1) $

Priority of Security and Subordinations

Outlines the framework of subordination of secured loans. Covers the variation of priority of security, subordination techniques, payment freezes on the junior debt, trustees of security, guarantee clauses and the freedom of action of the senior creditor. Suggests that, in addition to the commonly used deeds varying the priorities of security, the more sophisticated technique of turnover subordination can be usefully adapted for property finance.