Least squares estimation for the subcritical Heston model based on continuous time observations

We prove strong consistency and asymptotic normality of least squares estimators for the subcritical Heston model based on continuous time observations. We also present some numerical illustrations of our results.Comment: 22 pages. arXiv admin note: text overlap with arXiv:1310.478

Investigating traditional freshwater places on Bardi Jawi and Nyul Nyul Country through a collaborative research project

In this talk we will discuss a research collaboration between Michelle and the Bardi Jawi, Bardi Jawi Oorany and Nyul Nyul Rangers, and their communities, to investigate traditional freshwater places*. We investigated culturally-specific ways of conceptualising (thinking about) and managing traditional freshwater places. We will discuss the research process highlighting our partnership approach and benefits for Traditional Owners, along with some of the research findings. Research findings demonstrate how these groups enact locally-specific models of understanding and managing wetlands in ways that not only provide for cultural responsibilities and opportunities, but also potentially offer important conservation outcomes

On monochromatic linear recurrence sequences

In this paper we prove some van der Waerden type theorems for linear recurrence sequences. Under the assumption $a_{i-1}\leq a_{i}a_{s-1}$ ($i=2,\ldots,s$), we extend the results of G. Nyul and B. Rauf \cite{nyul} for sequences satisfying $x_i=a_1x_{i-s}+\ldots+a_sx_{i-1}$ ($i\geq s+1$), where $a_{1},\ldots,a_{s}$ are positive integers. Moreover, we solve completely the same problem for sequences satisfying the binary recurrence relation $x_i=ax_{i-1}-bx_{i-2}$ ($i\geq 3$) and x_1<x_2, where $a,b$ are positive integers with $a\geq b+1$

Classical dynamics near the triple collision in a three-body Coulomb problem

We investigate the classical motion of three charged particles with both attractive and repulsive interaction.The triple collision is a main source of chaos in such three body Coulomb problems.By employing the McGehee scaling technique, we analyse here for the first time in detail the three-body dynamics near the triple collision in 3 degrees of freedom.We reveal surprisingly simple dynamical patterns in large parts of the chaotic phase space. The underlying degree of order in the form of approximate Markov partitions may help in understanding the global structures observed in quantum spectra of two-electron atoms.Comment: 4 pages, 3 figure