Contact Information:
Address: Dept of Mathematics and Statistics, Concordia University, Montreal QC H3G 1M8
Phone: (514)848-2424 ext.5854; Fax: (514)848-2831
Email: lea (dot) popovic (at) concordia
(dot) ca
Office: LB (SGW) 921-07
Research:
My research interests are in probability theory and its
applications, in particular, analysis of
stochastic processes related to evolutionary biology, genetics, cell and systems biology.
In the news:
My PhD student Mariolys Rivas wrote a thesis (and two papers) that were featured in the local news
Workshops:
Teaching:
Publications:
- "Diffusion dynamics on the coexistence subspace in a stochastic evolutionary game" (with L.Peuckert), Journal of Mathematical Biology, 28 pp, 2020. - pdf
- "Large deviations of Markov chains with multiple time-scales", Stochastic Processes and their Applications, Vol 129(9), 41 pp, 2019. - pdf
"Corrigendum to: Large deviations for multi-scale jump-diffusion processes" (with R.Kumar), Stochastic Processes and their Applications, Vol 128(12), 4 pp, 2018. - pdf
"Large deviations for multi-scale jump-diffusion processes" (with R.Kumar), Stochastic Processes and their Applications, Vol 127(4), 24 pp, 2017. - pdf
"How spatial heterogeneity shapes multi-scale biochemical reaction network dynamics" (with P.Pfaffelhuber), Journal of the Royal Society Interface, Vol 12(104), 8pp (+9pp SI), 2015. - pdf
"Topology and inferrence for multitype Yule trees" (with M. Rivas), Journal of Mathematical Biology, Vol 73(5), 41 pp, 2016. - pdf
"The coalescent point-process of multi-type branching trees" (with M. Rivas), Stochastic Processes and Applications, Vol 124(12), 29 pp, 2014. - pdf
"Scaling limits of spatial chemical reaction networks" (with P.Pfaffelhuber), Annals of Applied Probability, Vol 25(6), 47 pp, 2015. - pdf
"Central Limit Theorems and Diffusion Approximations for
Multiscale Markov chain Models" (with T.Kurtz and H-W.Kang), Annals of Applied Probability, Vol 24(2), 39 pp, 2014. - pdf
"Stochastically-Induced Bistability in Chemical Reaction Systems" (with J.McSweeney), Annals of Applied Probability, Vol 24(3), 43 pp, 2014. - pdf
"The Coalescent Point Process of Branching Trees and Spine
Decompositions at the First Survivor" (with A.Lambert), Annals of Applied Probability, Vol 23(1), 46 pp, 2013. - pdf
"A Stochastic Compartmental Model for Fast Axonal
Transport" (with M.Reed and S.McKinley), SIAM Journal of Applied Mathematics, Vol 71(4), 26 pp, 2011. - pdf
"Five Statistical Questions about the Tree of Life"
(with D.Aldous and M.Krikun), Systematic Biology, Vol 60(3), 11 pp, 2011.
- pdf
"Degenerate Diffusions arising from Gene Duplication Models"
(with R.Durrett), Annals of Applied Probability, Vol (19)1, 34 pp, 2009.
- pdf
"Genealogy of Catalytic Branching Models" (with A.Greven and
A. Winter), Annals of
Applied Probability, Vol 19(3), 41 pp, 2009. - pdf
"Stochastic Models for Phylogenetic Trees in Higher Order Taxa" (with
D.Aldous and M.Krikun), Journal of Mathematical Biology, Vol 56(4), 33 pp, 2008.
- pdf
"Asymptotic Analysis of Multiscale Approximations to Reaction
Networks" (with T.Kurtz, K.Ball, G.Rempala), Annals of Applied Probability,
Vol 16(4), 37 pp, 2005. - pdf
"A Critical Branching Process Model for
Biodiversity" (with D.Aldous), Advances in
Applied Probability, Vol 37(4), 22 pp, 2005. - pdf
"Asymptotic Genealogy of a Critical Branching
Process" Annals of Applied Probability, Vol
14(4), 29 pp, 2004. - pdf
Ph.D. Thesis (2003), UC Berkeley.
- pdf
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