Lizbeth Peñaloza

Universidad del Mar

We study the time to the most recent common ancestor of a sample of finite size in a wide class of genealogical models for populations with variable size. This is made possible by recently developed results on inhomogeneous phase-type random variables, allowing us to obtain the density and the moments of the TMRCA of time-dependent coalescent proce...

In this article, we introduce a random (directed) graph model for the simultaneous forwards and backwards description of a rather broad class of Cannings models with a seed bank mechanism. This provides a simple tool to establish a sampling duality in the finite population size, and obtain a path-wise embedding of the forward frequency process and...

We consider a stochastic model, called the {\it replicator coalescent}, describing a system of blocks of $k$ different types which undergo pairwise mergers at rates depending on the block types: with rate $C_{i,j}$ blocks of type $i$ and $j$ merge, resulting in a single block of type $i$. The replicator coalescent can be seen as generalisation of K...

We derive the asymptotic behavior of the total, active, and inactive branch lengths of the seed bank coalescent when the initial sample size grows to infinity. These random variables have important applications for populations evolving under some seed bank effects, such as plants and bacteria, and for some cases of structured populations like metap...

We derive the asymptotic behavior of the total, active and inactive branch lengths of the seed bank coalescent, when the size of the initial sample grows to infinity. Those random variables have some important applications for populations under some seed bank effects, such as plants and bacteria, and for some cases of structured populations; metapo...

We studied cosmic ray intensity variations in the whole database of the Mexico City neutron monitor station from 1990 to 2013 using wavelet transforms to determine the power density function and its time evolution, with which we have identified the mid-and long-term variations present in the registers. We give the corresponding confidence levels fo...