Dominik Schmid
Personal homepage
Email:
d.schmid (at) uni-a (dot) de
Email:
d.schmid (at) uni-a (dot) de
Since April 2025, I am junior professor at the University of Augsburg. Prior to that, I was postdoctoral researcher at Columbia University, the University of Bonn, and at Princeton University. I received my PhD in June 2021 from the Technical University of Munich.
I'm interested in probability theory, especially
Mixing times for Markov chains
Limit theorems for interacting particle systems
Stochastic processes in random media
Cutoff for generalised Bernoulli-Laplace urn models (with Ritesh Goenka and Jonathan Hermon)
Biased random walk on the critical curve of dynamical percolation (with Assylbek Olzhabayev)
Mixing times for the open ASEP at the triple point (with Patrik L. Ferrari)
On the number and size of Markov equivalence classes of random directed acyclic graphs (with Allan Sly)
The open ASEP with light particles (with Zongrui Yang), to appear at Probability Theory and Related Fields
Limit profile for the Bernoulli-Laplace urn (with Sam Olesker-Taylor), to appear at Annals of Applied Probability
Limit profile for the ASEP with one open boundary (with Jimmy He), to appear at Annales de l'Institut Henri Poincaré
Mixing times for the TASEP on the circle (with Allan Sly), Probability Theory and Related Fields, 1-73; 2026
Random planar trees and the Jacobian conjecture (with Elia Bisi, Piotr Dyszewski, Nina Gantert, Samuel G. G. Johnston and Joscha Prochno), J. London Math. Soc., Vol. 113
Biased random walk on dynamical percolation (with Sebastian Andres, Nina Gantert and Perla Sousi), Annals of Probability 2024, Vol. 52, No. 6, 2051-2078
The Sk shuffle block dynamics (with Evita Nestoridi and Amanda Priestley), ALEA, Lat. Am. J. Probab. Math. Stat. 21, 1547–1566 (2024)
Approximating the stationary distribution of the ASEP with open boundaries (with Evita Nestoridi), Communications in Mathematical Physics, Vol 174, No. 176
Mixing times and cutoff for the TASEP in the high and low density phase (with Dor Elboim), Probability and Mathematical Physics 5-2 (2024), 413-459
Mixing times for the TASEP in the maximal current phase, Annals of Probability 2023, Vol. 51, No. 4, 1342-1379.
Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation (with Piotr Dyszewski, Nina Gantert, Samuel G. G. Johnston and Joscha Prochno), Annals of Probability 50(3), 1173-1203
Cutoff on trees is rare (with Nina Gantert and Evita Nestoridi), Journal of Theoretical Probability (2023)
The TASEP on Galton-Watson trees (with Nina Gantert and Nicos Georgiou), Electron. J. Probab. 25 (2021), paper no. 159, 1-38
Mixing times for the simple exclusion process with open boundaries (with Nina Gantert and Evita Nestoridi), Annals of Applied Probability , Vol. 33, No. 2, 972-1012.
The speed of a tagged particle in exclusion processes on Galton-Watson trees (with Nina Gantert), Electron. J. Probab. 25 (2020), paper no. 71, 27 pp.
Limit theorems for the tagged particle in exclusion processes on regular trees (with Dayue Chen, Peng Chen and Nina Gantert), Electron. Commun. Probab. Volume 24 (2019), paper no. 2, 10 pp.
Mixing times for the simple exclusion process in ballistic random environment, Electron. J. Probab. 24 (2019), paper no. 22, 25 pp.
Mixing Times in the Kardar-Parisi-Zhang Universality Class (with Ofer Busani, Peter Nejjar and Alessandra Occelli), Oberwolfach Rep. 21 (2024), no. 4, pp. 3001–3020
Book review on Persi Diaconis und Jason Fulman: The mathematics of shuffling cards, Mathematische Semesterberichte (2024)
Mixing times and limit theorems for exclusion processes, Dissertation (2021)
All articles are available on ArXiv and via Google scholar
Webpages of coauthors: Sebastian Andres, Elia Bisi, Dayue Chen, Peng Chen, Piotr Dyszewski, Dor Elboim, Patrik L. Ferrari, Nina Gantert, Nicos Georgiou, Ritesh Goenka, Jimmy He, Jonathan Hermon, Samuel G. G. Johnston, Evita Nestoridi, Sam Olesker-Taylor, Assylbek Olzhabayev, Amanda Priestley, Joscha Prochno, Allan Sly, Perla Sousi, Zongrui Yang
Lecture: High dimensional probability with applications in data science (Summer term 2026, University of Augsburg)
Lecture: Advanced topics in discrete probability (Winter term 2025/26, University of Augsburg)
Seminar: Introduction to KPZ universality (Summer term 2025, University of Augsburg)
Seminar: Die Mathematik des Kartenmischens (Summer term 2025, University of Augsburg)
Seminar: Die Mathematik des Kartenmischens (Summer term 2024, University of Bonn)
Seminar: Probability on graphs (Winter term 2023/24, University of Bonn)
Seminar: Markov chains and mixing times (Summer term 2023, University of Bonn)
Seminar: Markov chains and mixing times (Winter term 2019/20, TU Munich)
Seminar: Metastability (Winter term 2018/19, TU Munich)
Exercise classes: Probability on graphs and Probability theory (Summer term 2018, TU Munich)
Seminar: Markov chains and mixing times (Winter term 2017/18, TU Munich)
Exercise classes: Probability on graphs (Summer term 2017, TU Munich)
Organization of conferences and seminars:
March 2025, Workshop on "Mixing times" at the Simons Center Stony Brook (together with Evita Nestoridi)
Winter term 2024/2025: One World Probability Seminar (together with Peter Gracar)
November 2024: Mini-Workshop on Mixing times on models in the KPZ universality class at Oberwolfach (together with Ofer Busani, Peter Nejjar and Alessandra Occelli)
October 2023: Workshop on "Asymmetric simple exclusion processes" at the Simons Center Stony Brook (together with Ivan Corwin and Evita Nestoridi)
Summer term 2023 - Summer term 2024: Probability Seminar at the University of Bonn (together with Johannes Alt, Patrik Ferrari and Adrien Schertzer)
Mini-Courses:
October 7-10, 2025, Mixing times for exclusion processes, 3 lectures, IMPA, Brasil
January 22-February 26, 2025, Mixing times for exclusion processes, 6 lectures, Columbia University, United States
July 8-19, 2024, Invariant measures for exclusion processes, 4 lectures, Summer school on Integrable Probability, Charlottesville, United States
March 4-6, 2024, Mixing times for exclusion processes, 3 lectures, Chinese Academy of Sciences, China
May 2026: Recent progress on the Bernoulli-Laplace urn model, Bedlewo, Poland
April 1, 2026: Mixing times for the open ASEP, UBC Probability Seminar, Vancouver, Canada
March 9, 2026: Mixing times for the open ASEP at the triple point, Stanford University, Palo Alto, United States
March 6, 2026: Random walk approximation of the stationary distribution of the open ASEP, Columbia/Stony Brook Probability Day, Stony Brook, United States
see this page for a full list