Dominik Schmid
Personal homepage
Email:
d.schmid (at) uni-a (dot) de
About me
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
Preprints:
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)
Limit profile for the Bernoulli-Laplace urn (with Sam Olesker-Taylor)
The open ASEP with light particles (with Zongrui Yang)
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)
Journal Publications:
Limit profile for the ASEP with one open boundary (with Jimmy He), to appear at Annales de l'Institut Henri Poincaré
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.
Further Publications:V
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, Jimmy He, Samuel G. G. Johnston, Evita Nestoridi, Sam Olesker-Taylor, Assylbek Olzhabayev, Amanda Priestley, Joscha Prochno, Allan Sly, Perla Sousi, Zongrui Yang
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)
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:
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
Invited and contributed talks:
2025
February 17, 2025, Mixing times for the open ASEP at the triple point, Cincinnati Probability Seminar, Cincinnati, United States
2024
November 26, 2024, Mixing times for the open ASEP at the triple point, Probability Seminar, Cambridge, United Kingdom
October 25, 2024, Biased random walk in dynamical percolation, Columbia Probability Seminar, New York, United States
September 17, 2024, Mixing times for the open ASEP, Mixing times workshop, Bath, United Kingdom
August 13, 2024, Approximation of the stationary distribution of open ASEP, 11th Bernoulli Congress, Bochum, Germany
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, Universit de Genève, Switzerland
March 7, 2024, Biased random walk in dynamical percolation, Probability Seminar, Tsinghua University, 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, Université 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