Welcome to the pages of the Group

Stochastics is the branch of mathematics that deals with randomness. On the one hand, probability theory mathematically models random phenomena in order to subsequently subject them to precise analysis; on the other hand, mathematical statistics develops methods for the evaluation of data that quantify the uncertainty due to random influences during data collection. Accordingly, our subject area is called probability theory and mathematical statistics

Head of the Group

TU Ilmenau

Prof. Dr. Thomas Hotz

Address for Visitors:
Weimarer Str. 25 (Curiebau, Room C 315)

Mailing Address:
TU Ilmenau
PF 10 05 65
98684 Ilmenau

Thomas Hotz

+49 3677 69-3627


In our research we deal with theoretical as well as applied topics. Here are some keywords:

  • Statistics of geometric objects
  • Applications of measure concentration inequalities in statistics, especially for compressive sensing
  • Analysis of stochastic Petri nets

In addition, we offer statistical consulting services for university staff. In teaching we cover a wide range, from basic education for mathematicians but also for computer scientists and engineers to special courses.

Statistical advice

Since February 2018, the Department of Probability and Mathematical Statistics offers a statistical consulting service. This service is available to all students and employees who are involved in a research project at TU Ilmenau. We recommend that you make use of the consultation at an early stage of the project, ideally before data have been collected.

TU Ilmenau


Zimmermann, Armin; Hotz, Thomas; Integrating simulation and numerical analysis in the evaluation of generalized stochastic Petri nets. - In: ACM transactions on modeling and computer simulation : TOMACS.. - New York, NY : ACM Press, ISSN 1558-1195, Bd. 29 (2019), 4, S. 24:1-24:25 https://dx.doi.org/10.1145/3321518
Semper, Sebastian; Hotz, Thomas; Packing bounds for outer products with applications to compressive sensing. - In: Geometric science of information. - Cham : Springer, (2019), S. 135-143
TU Ilmenau / Michael Reichel (ari)


Our courses are intended for students of mathematics as well as for students of computer science, technical physics and engineering courses.