activity
20072023
most citedThe Ornstein-Uhlenbeck process with migration: evolution with interactions

53 citations · 121 across the 9 of their papers we have counts for

collaborators

11 papers

math.PR2023

Retransmission performance in a stochastic geometric cellular network model

Ingemar Kaj, Taisiia Morozova

Suppose sender-receiver transmission links in a downlink network at given data rate are subject to fading, path-loss and inter-cell interference, and that transmissions either pass…

math.PR2023

A Wright-Fisher graph model and the impact of directional selection on genetic variation

Ingemar Kaj, Carina F. Mugal, Rebekka Müller

We introduce a multi-allele Wright-Fisher model with non-recurrent, reversible mutation and directional selection. In this setting, the allele frequencies at a single locus track t…

math.PR2017★ 1 cited

A buffer Hawkes process for limit order books

Ingemar Kaj, Mine Caglar

We introduce a Markovian single point process model, with random intensity regulated through a buffer mechanism and a self-exciting effect controlling the arrival stream to the buf…

q-bio.PE2017

Modeling trait-dependent evolution on a random species tree

Daniah Tahir, Sylvain Glémin, Martin Lascoux +1

Understanding the evolution of binary traits, which affects the birth and survival of species and also the rate of molecular evolution, remains challenging. A typical example is th…

q-bio.PE2016★ 53 cited

The Ornstein-Uhlenbeck process with migration: evolution with interactions

Krzysztof Bartoszek, Sylvain Glémin, Ingemar Kaj +1

The Ornstein-Uhlenbeck (OU) process plays a major role in the analysis of the evolution of phenotypic traits along phylogenies. The standard OU process includes drift and stabilizi…

math.PR2016

Modeling battery cells under discharge using kinetic and stochastic battery models

Ingemar Kaj, Victorien Konané

In this paper we review several approaches to mathematical modeling of simple battery cells and develop these ideas further with emphasis on charge recovery and the response behavi…