PhaseCAP: Phase Transitions in Combinatorics, Algorithms, Probability

PhaseCAP invokes the theory of phase transitions from statistical physics for insights into fundamental problems in Combinatorics, Algorithms, and Probability. PhaseCAP research semester programme will be organized in the first half of 2026.

Summary

How can we understand the underlying structure of a large-scale network? What local constraints impact the running time of an algorithm? In recent years physics intuition has become fruitful in tackling such questions. Key to this is the notion of a phase transition, that is, a drastic change in macroscopic behaviour (e.g. matter changing from frozen to liquid at some critical temperature) in models governed by local interactions. We aim to connect different communities –combinatorics, algorithms and probability– through the lens of such transitions. This will be achieved through three interactive 4-day workshops focused on problem-solving and collaboration.

  • Phase Transitions in Probability (30 March to 2 April 2026)
  • Phase Transitions in Combinatorics (14 to 17 April 2026)
  • Phase Transitions in Algorithms (26 to 29 May 2026)

This Research Semester Programme PhaseCAP is organized by:

Ferenc Bencs (CWI), Jop Briët (CWI), Serte Donderwinkel (Groningen University), Carla Groenland (TU Delft), Ross Kang (University of Amsterdam), Noela Müller (TU Eindhoven), Guus Regts (University of Amsterdam).

More information will follow.