User profiles for O. Mazet

Olivier Mazet

Institut Mathématique de Toulouse
Verified email at insa-toulouse.fr
Cited by 1751

Stochastic calculus with respect to Gaussian processes

E Alos, O Mazet, D Nualart - The Annals of Probability, 2001 - projecteuclid.org
In this paper we develop a stochastic calculus with respect to a Gaussian process of the
form $B_t = \int^t_0 K(t, s)\, dW_s$, where $W$ is a Wiener process and $K(t, s)$ is a square …

[HTML][HTML] On the importance of being structured: instantaneous coalescence rates and human evolution—lessons for ancestral population size inference?

O Mazet, W Rodríguez, S Grusea, S Boitard, L Chikhi - Heredity, 2016 - nature.com
Most species are structured and influenced by processes that either increased or reduced
gene flow between populations. However, most population genetic inference methods …

[HTML][HTML] Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 12

E Alòs, O Mazet, D Nualart - Stochastic processes and their applications, 2000 - Elsevier
… Since for H≠ 1 2 the fBm is not a semimartingale we cannot use the classical It o ̂ calculus…
The Skorohod integral is an extension of the It o ̂ integral in the sense that the set L a 2 ([0,T…

[HTML][HTML] The IICR (inverse instantaneous coalescence rate) as a summary of genomic diversity: insights into demographic inference and model choice

…, W Rodríguez, S Grusea, P Santos, S Boitard, O Mazet - Heredity, 2018 - nature.com
… In the present study we (i) extend the work of Mazet et al. (2016) by expliciting how the IICR
can be … We are also grateful to O. Hardy, A. Eriksson and two anonymous reviewers for useful …

Demographic inference using genetic data from a single individual: Separating population size variation from population structure

O Mazet, W Rodríguez, L Chikhi - Theoretical population biology, 2015 - Elsevier
The rapid development of sequencing technologies represents new opportunities for
population genetics research. It is expected that genomic data will increase our ability to …

A long-term evolutionary pressure on the amount of noncoding DNA

C Knibbe, A Coulon, O Mazet… - … biology and evolution, 2007 - academic.oup.com
A significant part of eukaryotic noncoding DNA is viewed as the passive result of mutational
processes, such as the proliferation of mobile elements. However, sequences lacking an …

[HTML][HTML] Inferring number of populations and changes in connectivity under the n-island model

…, K Nguyen, S Boitard, W Rodríguez, O Mazet… - Heredity, 2021 - nature.com
Inferring the demographic history of species is one of the greatest challenges in populations
genetics. This history is often represented as a history of size changes, ignoring population …

[HTML][HTML] The IICR and the non-stationary structured coalescent: towards demographic inference with arbitrary changes in population structure

W Rodríguez, O Mazet, S Grusea, A Arredondo… - Heredity, 2018 - nature.com
… rate matrices and show how they can be used to compute the IICR of Mazet et al. (2016). …
to re-derive the analytical results of Mazet et al. (2016) on the IICR of the n-island model. …

Spontaneous dynamics of asymmetric random recurrent spiking neural networks

H Soula, G Beslon, O Mazet - Neural Computation, 2006 - direct.mit.edu
In this letter, we study the effect of a unique initial stimulation on random recurrent networks
of leaky integrate-and-fire neurons. Indeed, given a stochastic connectivity, this so-called …

[HTML][HTML] Impact of model assumptions on demographic inferences: the case study of two sympatric mouse lemurs in northwestern Madagascar

…, S Manzi, R Rakotondravony, O Mazet… - BMC Ecology and …, 2021 - Springer
Background Quaternary climate fluctuations have been acknowledged as major drivers of
the geographical distribution of the extraordinary biodiversity observed in tropical biomes, …