Research

Main research interests:

Random graphs, frozen percolation, random degree constrained process, random permutations

Publications

• 2026
  B. Ráth, M. Szőke: Critical time of the almost 2-regular random degree constrained process.
  Acta Mathematica Hungarica, accepted for publication.
• 2026
  B. Ráth, M. Szőke, L. Warnke: Local limit of the random degree constrained process.
  Electronic Journal of Probability, 31, 1-65.
• 2022
  B. Ráth, J. M. Swart, M. Szőke: A phase transition between endogeny and nonendogeny.
  Electronic Journal of Probability, 27, 1-43.

Further publication details are available on my MTMT and Google Scholar profiles.

Conference and Seminar Talks

• 2026
  The Brownian Separable Permuton
  Permuton Research Group Seminar, Budapest.
  📄 Slides (PDF)
• 2025
  Random Degree Constrained Process: Local Limit, Its Applications and Some Open Questions
  Kutszem, Budapest.
  📄 Slides (PDF)
• 2025
  Local Limit of the Random Degree Constrained Process
  ELTE Probability Theory and Statistics Seminar, Budapest.
  📄 Slides (PDF)
• 2024
  Local Limit of the Random Degree Constrained Process
  UC San Diego Probability Seminar (online).
  📄 Slides (PDF)
• 2022
  A phase transition between endogeny and nonendogeny
  Graphs, Groups, Stochastic Processes Workshop, Budapest.
  📄 Slides (PDF)