During his PhD studies, Péter Juhász researched stochastic network models that describe how complex systems emerge from random interactions. Such models are used to capture the structure of communication systems, biological networks, and collaborations, where randomness and group interactions play a key role.

Péter Juhász focused on how fundamental network characteristics, such as node degrees and connection patterns, scale in large systems and how interacting groups of nodes beyond simple pairs shape the overall network. The research provides new mathematical insights into how novel stochastic network models represent both local and global structures of complex systems, advancing their understanding.
The PhD study was completed at the Department of Mathematics, Faculty of Natural Sciences, Aarhus University.

This summary was prepared by the PhD student.

Time: Monday, 15 December 2025 at 14:15
Place: Building 1531, room 113, Lecture Theatre D1, Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000 Aarhus C
Title of PhD thesis: Stochastic Models of Higher-Order Networks – Point Processes and Topological Data Analysis
Contact information: Péter Juhász, e-mail: peter.juhasz@math.au.dk, tel.: +36 30 841 8085
Members of the assessment committee:
Professor Daniel Hug, Department of Mathematics, Karlsruhe Institute of Technology, Germany
Professor Remco van der Hofstad, Department of Mathematics and Computer Science, Eindhoven University of Technology, Netherlands
Associate Professor Markus Kiderlen (chair), Department of Mathematics, Aarhus University, Denmark
Main supervisor:
Associate Professor Christian Hirsch, Department of Mathematics, Aarhus University, Denmark
Co-supervisor:
Professor Claudia Strauch, Institute for Mathematics, Heidelberg University, Germany
Language: The PhD dissertation will be defended in English

The defence is public.
The PhD thesis is available for reading at the Graduate School of Natural Sciences/GSNS, Ny Munkegade 120, building 1521, 8000 Aarhus C