## Search

Now showing items 1-9 of 9

#### Networked Control Systems with Unbounded Noise under Information Constraints

(2012-12-06)

We investigate the stabilization of unstable multidimensional partially observed single-station, multi-sensor (single-controller) and multi-controller (single-sensor) linear systems controlled over discrete noiseless ...

#### Variations of Li's criterion for an extension of the Selberg class

(2012-08-09)

In 1997, Xian-Jin Li gave an equivalence to the classical Riemann hypothesis,
now referred to as Li's criterion, in terms of the non-negativity of a particular
infinite sequence of real numbers. We formulate the analogue ...

#### Smooth Complete Intersections with Positive-Definite Intersection Form

(2012-10-16)

We classify the smooth complete intersections with positive-definite intersection form on their middle cohomology. There are two families. The first family are quadric hypersurfaces in P(4k+1) with k a positive integer. ...

#### Evolutionarily Stable Learning and Foraging Strategies

(2012-02-01)

This thesis examines a series of problems with the goal of better understanding the fundamental dilemma of whether to invest effort in obtaining information that may lead to better opportunities in the future versus ...

#### Generalization of Ruderman's Problem to Imaginary Quadratic Fields

(2012-04-13)

In 1974, H. Ruderman posed the following question: If $(2^m-2^n)|(3^m-3^n)$, then does it follow that $(2^m-2^n)|(x^m-x^n)$ for every integer $x$? This problem is still open. However, in 2011, M. R. Murty and V. K. Murty ...

#### On the Reduced Operator Algebras of Free Quantum Groups

(2012-08-03)

In this thesis, we study the operator algebraic structure of various classes of unimodular free quantum groups, including thefree orthogonal quantum groups $O_n^+$, free unitary quantum groups $U_n^+$, and trace-preserving ...

#### Bifurcations of Periodic Solutions of Functional Differential Equations with Spatio-Temporal Symmetries

(2012-04-30)

We study bifurcations of periodic solutions with spatio-temporal symmetries of functional differential equations (FDEs). The two main results are: (1) a centre manifold reduction around a periodic solution of FDEs with ...

#### Inclusive Fitness on Evolutionary Graphs

(2012-10-04)

The evolution of cooperative behaviours has received a large amount of attention in the literature. A recurrent result is that a spatial population structure often aids the evolution of cooperation. One such possible ...

#### Feedback Stabilisation of Locally Controllable Systems

(2012-09-25)

Controllability and stabilisability are two fundamental properties of control systems and it is intuitively appealing to conjecture that the former should imply the latter; especially so when the state of a control system ...