Lectures for PhD Students (EM2PSI)
Times
series for population dynamics and econometrics.
Master of Mathematics
Models of non linear time series.
ECODEP lectures in the Master of Mathematics
A Research oriented course will be opened to EcoDep oriented students within the frame of the
Master of Mathematics in CYU, supported by EcoDep.
It consists into 4 minicourses (2⨯2:30hours)
in November, December, January, and February.
A memorandum will be used to rate the students.
2020-2021 lectures
are planned on Mondays
(depending on time zones of the speaker),
each minicourse will last 2 consecutive weeks (with Zoom for this year).
Please connect before for online lectures by using
Zoom Calendar, click on the event of interest to obtain the
corresponding Zoom link.
If the lecturer agrees, those lectures will be recorded on the Ecodep
YouTube channel.
- November 16 & 23, 2020: 15-17:30, Thierry Huillet (LPTM, CYU):
Markov chains for population genetics and population dynamics.
on Zoom.
Lecture 1,
see Amaury
Lambert (2008) Population Dynamics and Random
Genealogies, Stochastic Models, 24:1, 45—163.
DOI:
10.1080/15326340802437728,
for the first lecture. For the second lecture
lecture 2-I,
lecture 2-II,
and MF Neuts (1994) An interesting
random walk on the non-negative integers. JAP31, 48-58.
- November 30 & December 7, 2020: 16-18:30, Victor de la Pena
(Columbia, New-York):
Self normalized sums and Taylor's laws.
Lecture Self-Normalization I and
lecture Self-Normalization II
(Concentration
Inequalities for Sums and Martingales (2015)
Bercu, Delyon, Rio. Springer Brief),
Lecture Copula,
lecture Taylor.
de la Pena's Slides at opening conference.
Connexion to Zoom.
- January 2021 25, 14:30-17:00, and February 15, 9:30-12:00 Gilles Durrieu (UBS, Vannes):
Time series for biodiversity.,
Lectures, and
Lectures Modélisation and biomonitoring
(in French), also refer to the
talk at the online opening conference.
Find online lectures notes,
and exercises.
Finally the
Oyster data set is used as a sample.
Connexion to Zoom.
- February 8 & 15, 2021, 15-17:30, Alejandra Cabana (UAB Barcelona):
Introduction to discrete time series.
Slides.
Connexion to Zoom.
Modeling of abundance in ecology / Modeling in population dynamics / Self-normalization
& Taylor's law / Space-time models / Time series with covariates / High dimensional
time series / Isotonicity / Dependence of random processes / Time series
for biodiversity / Non-stationary time series / Partly observed processes / Point processes for ecology / Structural breaks / Econometric methods
in ecology / Modeling in genomics.