Phylogenetics is a scientific field that focuses on understanding the evolutionary relationships between living organisms. Specifically, it seeks to reconstruct the evolutionary history of these organisms and the ...

In this thesis, we introduce the K groups of a scheme. One of the motivations for the definition of the K groups is to prove a generalized version of the Riemann-Roch Theorem. We introduce the K groups of a scheme and ...

To those outside the field, and even to some focused on empirical applications, phylogenetics may appear to have little to do with algebra. Probability and statistics are clearly important ingredients, as modeling and ...

We present an elaborate preconditioning scheme for Krylov subspace methods which has been developed to improve the performance and reduce the execution time of parallel node-based finite-element solvers for three-dimensional ...

In this paper, an algebraic-observer-based output-feedback controller is proposed for a Proton Exchange Membrane Fuel Cell (PEMFC) air-supply subsystem, based on both algebraic differentiation and sliding-mode control ...

Phylogenetic reconstruction methods attempt to infer the evolutionary relationships among a group of species. Apart from classical reconstruction methods, new methods have been developed based on algebraic relationships ...

In modern phylogenetics, when comparing sequences of DNA the traditional approach assumes that nu- cleotide substitutions follow a Markov model, that sites on a DNA sequence evolve independently and in the same way. However, ...

En aquesta tesi interdisciplinar desenvolupem eines algebraiques per a problemes en filogenètica i genòmica. Per estudiar l'evolució molecular de les espècies sovint s'usen models evolutius estocàstics. L'evolució es ...

The single-pushout approach to graph transformation is extended to the algebraic transformation of partial many-sorted unary algebras. The main result presented in this article is an algebraic characterization of the ...