Student
Diana De Armas Bellon

Diana graduated from the University of Havana with a bachelor’s degree in Mathematics in 2019. She completed her MSc in Mathematical Science at National Autonomous University of Mexico (UNAM).

Diana graduated from the University of Havana with a bachelor’s degree in Mathematics in 2019. She completed her MSc in Mathematical Science at National Autonomous University of Mexico (UNAM). Her master research project was about Coupling Method in Probability Theory. Her research interests focus on continuous probability and stochastic processes. Outside of Maths, Diana enjoys photography, reading novels, travelling, learning languages and spending as much time as she can with her dogs, Valentina and Tyrion.

Research project title:
Accessibility percolation

Supervisor(s):
Matthew Roberts, Daniel Kious

Project description:
Accessibility percolation was introduced by Nowak and Krug as a model for evolution. In this model, a graph represents possible genotypes or phenotypes, with each vertex assigned a fitness value. The objective is to identify paths of vertices whose fitness values increase, signifying viable evolutionary pathways. In the ‘House of Cards’ model, fitness values are independently and identically distributed. In the ‘Rough Mount Fuji’ model, fitness values exhibit some form of drift as well as an independent and identically distributed component. The primary aim is to obtain theoretical insights into the asymptotic behaviour of the House of Cards and Rough Mount Fuji models across various settings, including on trees, the hypercube, random graphs, or even the integer lattice.