Research
My primary area of focus is large deviations theory, which pertains to the asymptotic behavior of probabilities that decay exponentially fast. In my dissertation, I am
investigating large deviations 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 arguments.
Parallel to my work in large deviations theory, I am thinking about some probabilistic and statistical aspects of stochastic processes. Recently and due to a research assistantship by Vladas Pipiras, I have started working on some topics in long range dependence and time series analysis.
We are currently thinking about stochastic processes that exhibit cyclical long memory. Recently, I started pursuing some work in the analysis of stochastic processes that take values in infinite-dimensional spaces.
Publications and Preprints
| S. Kechagias, V. Pipiras, P. Zoubouloglou. [2024]. Cyclical Long Memory: Decoupling, Modulation, and Modeling. Preprint. |
| A. Budhiraja, A. Waterbury, P. Zoubouloglou. [2023]. Large Deviations for Empirical Measures of Self-Interacting Markov Chains. Submitted. |
| A. Budhiraja, P. Zoubouloglou. [2022]. Large Deviations for Small Noise Diffusions Over Long Time. Transactions of the American Mathematical Society. |
| [*]V. Pipiras, P. Zoubouloglou, T. Sapsis [2022]. Cyclical Long Memory In Ship Motions At Non-Zero Speed. Proceedings of the 18th Int. Ship Stability Workshop. |
| [*]P. Zoubouloglou, E. García-Portugués, JS Marron. [2021]. Scaled torus principal component analysis. Journal of Computational and Graphical Statistics. |
[*] These works present authors in an order of descending contribution. All other works list authors in alphabetical order.
Service Awards
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
| 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. |