Pavlos Zoubouloglou

Postdoctoral fellow

About

Since August 2024, I am a postdoctoral researcher in the group of Chiranjib Mukherjee at the institute of mathematical stochastics, department of applied mathematics, of the University of Münster. I am currently supported by the cluster of excellence. Broadly speaking, my work focuses on several probabilistic and statistical aspects of stochastic processes.

I completed my doctoral degree at the department of Statistics and Operations Research at the University of North Carolina in Chapel Hill, studying under the direction of Amarjit Budhiraja. Prior to Chapel Hill, I obtained my undergraduate degree from the department of Mathematics of the University of Athens.

Research

My doctoral dissertation was on large deviations theory, which pertains to the asymptotic behavior of probabilities that decay exponentially fast. In my dissertation, I am investigating large deviation principles for some random quantities that exhibit asymptotically vanishing noise. The tools being used rely on variational representations from stochastic control theory, weak convergence, and stochastic analysis.

Parallel to my work in large deviations theory, I am exploring some more applied questions related to stochastic processes. Through a research assistantship by Vladas Pipiras, I have worked on some topics in long-range dependence and time series analysis. Moreover, I have recently started thinking about probability and statistics for random variables in infinite dimensions.

Publications and Preprints

M.-C. Düker, P. Zoubouloglou. [2024]. Breuer-Major Theorems for Hilbert Space-Valued Random Variables. Submitted.
A. Budhiraja, A. Waterbury, P. Zoubouloglou. [2023]. Large Deviations for Empirical Measures of Self-Interacting Markov Chains. Submitted.
S. Kechagias, V. Pipiras, P. Zoubouloglou. [2024]. Cyclical Long Memory: Decoupling, Modulation, and Modeling. Stoch. Process. Their Appl., 175, 104403 .
A. Budhiraja, P. Zoubouloglou. [2024]. Large Deviations for Small Noise Diffusions Over Long Time. Trans. Am. Math. Soc., Series B 11, 1-63.
[*]P. Zoubouloglou, E. García-Portugués, JS Marron. [2023]. Scaled torus principal component analysis. J. Comput. Graph. Stat., 32 (3), 1024--1035.
[*]V. Pipiras, P. Zoubouloglou, T. Sapsis [2022]. Cyclical Long Memory In Ship Motions At Non-Zero Speed. Proc. of the 18th Int. Ship Stab. Workshop (Gdansk, Poland, September 2022), 297--306.

[*] These works present authors in an order of descending contribution. All other works list authors in alphabetical order.

Service Awards

University of Münster

Term Role Class Supervisor
Winter Semester 24-25 Tutorial Instructor, Grader Stochastic Analysis Chiranjib Mukherjee

UNC Chapel Hill

Term Role Class Supervisor
Fall & Spring 2023-24 Dissertation Completion Fellowship - -
Summer 2023 Instructor Comprehensive Written Exams Tutorials (STOR 634-635 and 654-655) -
Summer 2023 Teaching Assistant, Grader STOR 155 William Lassiter
Spring 2023 Research Assistant - Amarjit Budhiraja
Fall 2023 Research Assistant - Vladas Pipiras
Summer 2022 Summer Fellow - Graduate School (Chaterjee family)
Spring 2022 Research Assistant - Vladas Pipiras
Fall 2021 Lab Instructor, Teaching Assistant STOR 320 / 520 Zhengwu Zhang
Summer II 2021 Instructor Comprehensive Written Exams Tutorials (STOR 634-635 and 654-655) -
Summer I 2021 Teaching Assistant STOR 155 Nikolai Lipscomb
Spring 2021 Lab Instructor, Teaching Assistant STOR 320 Yao Li, Jan Hannig
Fall 2020 Lab Instructor, Teaching Assistant STOR 320 Mario Giaccomazo, Yao Li
Summer 2020 Teaching Assistant STOR 320 & STOR 455 Mario Giaccomazo, Rob Cunningham
Spring 2020 Teaching Assistant, Grader STOR 320 Mario Giaccomazo
Fall 2019 Teaching Assistant, Grader STOR 320 Mario Giaccomazo

Here are a few of the anonymous evaluations I have received as a lab instructor (evidence can be provided upon request):

Pavlos was an amazing guy. Made me want to understand the material and was really good at answering my question if I had any. I hope he becomes a teacher someday, he has been my favorite TA throughout my four years at Carolina.

I believe Pavlos recognized Prof. XXX's teaching style was difficult, and did everything he could in the realm of his role to ease that pain. He was a funny guy, which made the lab much more bearable. Pavlos was always super kind and super helpful. Truly a blessing of a teaching assistant.

And if you still think I'm a bad teacher, I hope I can at least convince you my classes are amusing:

The extra questions in the attendance was great. They were super biased and random and I loved it.

Pavlos was a great TA! He was very prompt with grading, which is very appreciated. Lab sections were always well–structured but he was also very flexible when it came to any difficulties students might have with turning in assignments on time, which was appreciated in an unpredictable semester. He was so personable and friendly, and his sense of humor brightened my mornings.

News

06/2024: I am currently a visiting scholar at Friedrich-Alexander university in Erlangen, Germany and I will stay here until July 3rd.
05/2024: I have received this year's student ambassador award from UNC's graduate school. This award is given to a student who "serves as a community builder, creating meaningful connections and enriching their cohorts’ graduate school experience".
05/2024: This summer I will attend the summer school in PDEs and Randomness, as well as the Bernoulli world congress.
03/2024: Today I succesfully defended my dissertation. Stay tuned for my summer plans!
12/2023: I am honored to announce that I have been awarded the M. R. Leadbetter Award for "graduate student excellence in research, teaching, and service" by my department, in the memory of the late professor Malcolm Ross Leadbetter.
06/2023: A busy but exciting summer is ahead. This includes an invited talk at the university of Pisa, attending the 51st Summer School in probability in Saint-Flour, the Frontiers in Stochastic analysis conference, and the Workshop in Stochastic Analysis.
04/2023: I've been awarded the Dissertation Completion Fellowship for the next academic year by UNC's Graduate School. I hope this will help me focus on my research.
01/2023: I am excited to be invited to give a talk to the One World Dynamics seminar for the March session.
01/2023: I will be attending the Seminar on Stochastic Processes this March in Arizona. Hope to see you there!
10/2022: I just returned from the Graduate Students in Probabiltiy conference that took place in Madison, Wisconsin. I presented our work on large deviations through a talk.
08/2022: Our work "Scaled Torus Principal Component Analysis" has been accepted for publication by the Journal of Computational and Graphical Statistics!
07/2022: The first week of August I will be attending the Brazilian School of Probability in Campinas on Singular SPDE's. I will make a poster presentation for our work on large deviations.
05/2022: I have received a fellowship from the graduate school to focus on my research over the summer. I am grateful to the Chaterjee family for this kind gift.

Math Genealogy

I come from a line of researchers, who have thought about stochastic processes and mathematical statistics since the 1940's. Those are: Amarjit Budhiraja (see the Budhiraja-Dupuis formula in stochastic control theory); Gopinath Kallianpur (see the Kallianpur-Striebel formula and the Fujisaki–Kallianpur–Kunita equations in stochastic filtering theory, and the Kallianpur-Robbins law); Herbert Robbins (see the Robbins-Monro algorithm in stochastic approximation, the Hoeffding-Robbins CLT for dependent random variables, and many more works in different fields); Hassler Whitney; George Birkhoff; E. H. Moore; H. A. Newton; Michel Chasles; Siméon Denis Poisson; Joseph Louis Lagrange and Pierre-Simon Laplace; ...