Dominik Schmid
Personal homepage
Email: dschmid ( a t ) uni-bonn.de
About me
Currently, I'm a PostDoc at the University of Bonn. From October 2021 to September 2022, I was postdoctorial visiting research fellow at Princeton University, funded by the DAAD-PRIME-program. I received my PhD in June 2021 from the Technical University of Munich as a fellow of TopMath and the Studienstiftung des deutschen Volkes.
I'm interested in probability theory, especially
Mixing times for Markov chains
Limit theorems for interacting particle systems
Stochastic processes in random media
In March 2025, Evita Nestoridi and I organize a workshop on "Mixing times" at the Simons Center in Stony Brook. Previously, together with Ivan Corwin and Evita Nestoridi, I was co-organizing a workshop on "Asymmetric simple exclusion processes".
Preprints:
Limit profile for the ASEP with one open boundary (with Jimmy He)
The Sk shuffle block dynamics (with Evita Nestoridi and Amanda Priestley)
Random planar trees and the Jacobian conjecture (with Elia Bisi, Piotr Dyszewski, Nina Gantert, Samuel G. G. Johnston and Joscha Prochno)
On the number and size of Markov equivalence classes of random directed acyclic graphs (with Allan Sly)
Mixing times for the TASEP on the circle (with Allan Sly)
Accepted:
Approximating the stationary distribution of the ASEP with open boundaries (with Evita Nestoridi) to appear at Communications in Mathematical Physics
Mixing times and cutoff for the TASEP in the high and low density phase (with Dor Elboim) to appear at Probability and Mathematical Physics
Biased random walk on dynamical percolation (with Sebastian Andres, Nina Gantert and Perla Sousi) to appear at Annals of Probability
Publications:
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 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, Nina Gantert, Nicos Georgiou, Jimmy He, Samuel G. G. Johnston, Evita Nestoridi, Amanda Priestley, Joscha Prochno, Allan Sly, Perla Sousi
Teaching:
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)
Invited & contributed talks:
2024
July 8-19, 2024, Mini-Course on Invariant measures for exclusion processes, Summer school on Integrable Probability, Charlottesville, United States
May 13, 2024, Limit profiles for exclusion processes, One World Probability Seminar (jointly with Evita Nestoridi), online
May 7, 2024, Approximation of the stationary distribution of open ASEP, Probability Seminar, Münster, Germany
May 3, 2024, Approximation of the stationary distribution of open ASEP, 6th Cincinnati Symposium, United States
April 16, 2024, Biased random walk in dynamical percolation, Random walks: Interacting, Branching and more (CIRM) , Marseille, France
March 26, 2024, Approximation of the stationary distribution of open ASEP, Oberseminar Analysis and Probability, Leipzig, Germany
March 20, 2024, Approximation of the stationary distribution of open ASEP, Politechnika Warsaw, Poland
March 18, 2024, Biased random walk in dynamical percolation, Mathematical Physics Seminar, Universite de Geneva, Switzerland
March 7, 2024, Biased random walk in dynamical percolation, Probability Seminar, Tsinghua University, China
March 4-6, 2024, Mini-Course on Mixing times for exclusion processes, Chinese Academy of Sciences, China
February 29, 2024, Biased random walk in dynamical percolation, Probability Seminar NYU Shanghai, Shanghai, China
February 26, 2024, Approximation of the stationary distribution of open ASEP, Probability Seminar, Peking University , China
January 14, 2023, Markov equivalence classes of directed acyclic graphs, Stochastic processes and evolving networks, Frauenchiemsee, Germany
January 11, 2024, Approximation of the stationary distribution of open ASEP, Oberseminar Stochastik und Analysis, Dortmund, Germany
January 10, 2024, Approximation of the stationary distribution of open ASEP, Probability Seminar, Cologne, Germany
2023
November 21, 2023, Approximation of the stationary distribution of open ASEP, Probability and Geometry Seminar, Bochum, Germany
October 19, 2023, Markov equivalence classes of directed acyclic graphs, Discrete random structures, Bedlewo, Poland
September 21, 2023, Approximation of the stationary distribution of open ASEP, Rencontres de Probabilités, Rouen, France
September 14, 2023, Approximation of the stationary distribution of open ASEP, Heilbronn Meeting, University of Sussex, United Kingdom
July 27, 2023, Mixing times for exclusion processes, 43rd SPA Lisbon, session on "Mixing times for Markov chains", Lisbon, Portugal
July 7, 2023, Biased random walk on dynamical percolation, Nordic Congress of Mathematicians, Aalborg, Denmark
Jun 26, 2023, Mixing times for the TASEP on the circle, University Paris Cite, Paris, France
May 2, 2023, Biased random walk on dynamical percolation, Probability Seminar, Essen, Germany
April 26, 2023, Mixing times for the TASEP on the circle, Probability Seminar, Vienna, Austria
March 8, 2023, Biased random walk on dynamical percolation, Stochastiktage 2023, Essen, Germany
January 24, 2023, Biased random walk on dynamical percolation, Technion Probability Seminar, Haifa, Israel
January 16, 2023, Mixing times for exclusion processes, TopMath Alumnus Talk, Munich, Germany
2022
November 22, 2022, Mixing times for the simple exclusion process with open boundaries, Analysis and Probability Seminar Passau, Germany
October 27, 2022, Mixing times for the simple exclusion process with open boundaries, Oberseminar Stochastics, Bonn, Germany
October 26, 2022, Mixing times for the TASEP on the circle, Probability seminar IMPA, online
October 18, 2022, Markov equivalence classes of directed acyclic graphs, Dartmouth Combinatorics Seminar, online
October 10, 2022, Markov equivalence classes of directed acyclic graphs, Approximation and geometry in high dimensions, Bedlewo, Poland
September 16, 2022, Mixing times for the TASEP on the circle, Brown University, Providence, United States
September 9, 2022, Markov equivalence classes of directed acyclic graphs, Stony Brook University, Stony Brook, United States
September 7, 2022, Mixing times for the TASEP on the circle, Columbia Probability Seminar, New York, United States
September 5, 2022, Mixing times for the TASEP on the circle, Probability Seminar Virginia, Charlottesville, United States
August 1, 2022, Cutoff for the simple exclusion process with open boundaries, Hausdorff Trimester Programme, Bonn , Germany
July 25, 2022, Markov equivalence classes of directed acyclic graphs, Oberseminar Wahrscheinlichkeitstheorie, Munich, Germany
July 13, 2022, Mixing times for the TASEP on the circle, Probability Seminar Athens, Athens, Greece
June 30, 2022, Cutoff for the simple exclusion process with open boundaries, 42nd SPA Wuhan, session on "Mixing times for Markov chains", online
June 28, 2022, Mixing times for the TASEP on the circle, 42nd SPA Wuhan, session on "Interacting particle systems", online
March 14, 2022, Mixing times for the TASEP on the circle, MIT Mathematics Probability Seminar, Cambridge, United States
March 8, 2022, Mixing times for the TASEP on the circle, Cambridge Probability Seminar, Cambridge, United Kingdom
February 28, 2022, Mixing times for the TASEP on the circle, Oxford Probability Seminar, Oxford, United Kingdom
February 15, 2022, Mixing times for the TASEP on the circle, Probability Seminar University of Sussex, online
2021
December 17, 2021, Mixing times for the TASEP, München-Augsburg Stochastik Tag, Munich, Germany
November 10, 2021, Mixing times for the TASEP with open boundaries, UBC Probability Seminar, online
November 10, 2021, Mixing times for the TASEP with open boundaries, Probability Seminar, Princeton, United States
October 19, 2021, Mixing times for the TASEP with open boundaries, Random Matrix Theory Seminar KTH, online
September 30, 2021, The simple exclusion process - a general introduction, DMV-ÖMG-Jahrestagung, online
2020
November 18, 2020, Mixing times for the exclusion process, Probability Seminar Manchester, online
November 16, 2020, The TASEP on trees, Oberseminar Wahrscheinlichkeitstheorie, Munich, online
October 9, 2020, The TASEP on trees, Junior Integrable Probability Seminar, online
August 1 , 2020, Exclusion processes on Galton-Watson trees, One-World Symposium, online
May 5 , 2020, Mixing times for the exclusion process, TopMath Talk, online
March 1 , 2020, Mixing times for the simple exclusion process with open boundaries, Spring school "Complex networks", Darmstadt, Germany
2019
October 15, 2019, Mixing times for exclusion processes in random environment, Seminar "Topics in probability", Princeton, United States
March 14, 2019, Mixing times for the simple exclusion process, MASS Seminar University of Sussex, Brighton, United Kingdom
February 28, 2019, Exclusion processes on trees, Spring school "Selected topics in stochastic geometry" , Darmstadt, Germany
February 2, 2019, Exclusion processes in random environment, TopMath Winter Retreat, Brenner Autobahn, Austria
2018
December 5, 2018, Christmas talk: "Will Rudolph ever come back to Santa?", TopMath Talk, Munich, Germany
July 10, 2018, Mixing times for exclusion processes in random environment, 48. Probability summer school, Saint Flour, France
May 4, 2018, Mixing times for exclusion processes in random environment, AG Stochastische Geometrie, Karlsruhe, Germany
February 8, 2018, Mixing times for the exclusion process, Open problem seminar, Munich, Germany