A Stochastic Approach to Chemical Evolution

A Stochastic Approach to Chemical Evolution

Observations of elemental abundances in the Galaxy have repeatedly shown an intrinsic scatter as a function of time and metallicity. The standard approach to chemical evolution does not attempt to address this scatter in abundances since only the mean evolution is followed. In this work the scatter is addressed via a stochastic approach to solving chemical evolution models. Three standard chemi...

A chemical systems approach to evolution.

A novel approach to the evolution of organisms is given. It asserts that biological evolution was consequential upon geochemical, environment, change and was inevitable not accidental.

A Discrete Stochastic Approach to Hotel Revenue Management

  A linear programming model has been presented for finding an appropriate planning in order to maximize hotel revenue. In this model, a special planning horizon has been considered that includes several busy days of a year. There are several reservation periods that may start a few months earlier. Each period of reservation may have different prices and so result different incomes. Hotel custo...

A Stochastic Approach to Evolution Equations on Nilpotent Quantum Groups

Evolution equations like the heat or diffusion equation or the Schrödinger equation can be associated with stochastic processes. We introduce a notion of nilpotency for quantum groups / braided groups that extends that for (simply-connected) Lie groups, and study the relations between evolution equations and (quantum) stochastic processes on these structures. We show on some examples how polyno...

A Stochastic Approach to Modeling Drainage Basin Evolution