Most Popular Books by John Moriarty

Motivated by the potential use of electricity storage to smooth fluctuations in supply and demand, we study the problem of writing American-type call options when the holder''s exercise strategy is of threshold type (so that the time of exercise is known, but random). The writer must provide physical cover by buying and storing the asset { em before} selling the option. We optimise the writer''s strategy for a single option and for an infinite sequence of options, these two strategies being different. The latter is motivated by the lifetime valuation of an energy storage unit when used as reserve capacity in a power system. Our stochastic process is a Brownian motion representing the real-time system imbalance, and which we rescale to represent an imbalance price. The single option leads to an optimal stopping problem in which the principle of smooth fit may be violated and the stopping region may be disconnected. The lifetime analysis uses techniques and results for the single option to construct a certain fixed point characterising the value function.

In this paper we provide a complete theoretical analysis of a two-dimensional degenerate non convex singular stochastic control problem. The optimisation is motivated by a storage-consumption model in an electricity market, and features a stochastic real-valued spot price modelled by Brownian motion. We find analytical expressions for the value function, the optimal control and the boundaries of the action and inaction regions. The optimal policy is characterised in terms of two monotone and discontinuous repelling free boundaries, although part of one boundary is constant and and the smooth fit condition holds there.

Murder and gang violence follow young Amish skater, Sarah Yoder and her Russian Partner, Alexander Gustov, through a series of skating competitions leading to the 1968 Olympics in Grenoble, France.Amidst political corruption from the Eastern Bloc in the final scoring, Sarah struggles to keep her true identity secret from the world in her quest to win ?

This thesis consists of two parts. We start with some background theory that will be used throughout the thesis. Then, in the first part, we investigate the existence and uniqueness of the solution of the stochastic partial differential equation with two reflecting walls. Then we establish the existence and uniqueness of invariant measure of this equation under some reasonable conditions. In the second part, we study the splitting-up method for approximating the solu- tions of stochastic Stokes equations using resolvent method.

Autobiography which tells of how the author was stolen from his family when he was four years of age, his life in a children''s home, his career as a soccer player, his political activism for Aboriginal rights, his search for his Aboriginal and Irish families, and his establishment of the Balarinji Design Studio, which celebrates Aboriginal heritage through contemporary Australian design. Includes an index. The author was awarded the Advance Australia Award for Services to Industry and Commerce in 1995, and the Order of Australia in 2000.