Mathematics Projects

Association rules are one of the most popular methods of data mining. This technique allows to discover interesting dependences between objects. The thesis concerns on association rules for hierarchy of objects. As a multi–level structure is used DBLP database, which ...

Digital geometry is the geometry of digital images. Compared to Euclid’s geometry, which has been studied for more than two thousand years, this field is very young. Efim Khalimsky’s topology on the integers, invented in the 1970s, is a digital ...

This work is devoted to the equation where S is the graph of a Lipschitz function φ on RN with small Lipschitz constant, and dS is the Euclidian surface measure. The integral in the left-hand side is referred to as ...

It is a commonly held belief that markets tend to both over-react and under-react to the arrival of good or bad news. Market confidence can drive up values of stocks, and market fear can lead to large negative dips in ...

This thesis consists of four papers and a summary. The common topic of the included papers are the pricing equations of path-dependent options. Various properties of barrier options and American options are studied, such as convexity of option prices, the ...

The topic of this thesis is computation of Mass waveforms, and we consider a number of different cases: Congruence subgroups of the modular group and Dirichlet characters (chapter 1); congruence subgroups and general multiplier systems and real weight (chapter 2); ...

The special affine group of Fp^2, p an odd prime, denoted Qd(p), plays an important role in the search for free actions by finite groups on products of spheres. The mod-p and integral cohomology rings of Qd(p) are computed and, ...

Statistical analysis of data from rivers deals with time series which are dependent, e.g., on climatic and seasonal factors. For example, it is a well-known fact that the load of substances in rivers can be strongly dependent on the runoff. ...

The scope of this thesis is modelling and solving large-scale planning problems in the supply chain within the forest industry. Five research papers are included, the first three of which focus on the modelling, and the last two on the ...

Value at Risk (VaR) as a branch of risk management has been at the centre of attention of financial managers during past few years, especially after the financial crises in 90’s. And now, after the market failure in 2008, the ...