Evolving Random Structures and Interactions (26w5652)

Organizers

Lutz Warnke (University of California San Diego)

Tom Bohman (Carnegie Mellon University)

Jane Gao (University of Waterloo)

Malwina Luczak (University of Manchester)

Mehtaab Sawhney (Columbia University)

Description

The Banff International Research Station will host the "Evolving Random Structures and Interactions" workshop in Banff from December 6 - 11, 2026.


Evolving random structures are discrete mathematical models that evolve randomly `step-by-step’ over time. Such evolving structures are powerful tools, and the topic has been receiving considerable attention from combinatorics, probability, computer science and related communities. For example, in combinatorics some of the best-known extremal constructions arise from natural evolving random hypergraph models, and in probability many interesting dynamic network models arise from carefully crafted evolving random graph models. Interestingly, in combinatorics and probability slightly different sets of ideas have been proposed for analyzing such random evolving structures, which in turn have also found applications in the analysis of randomized algorithms.



Our workshop brings together researchers that are familiar with the many different angles of evolving random structures (ranging from applications to theoretical analysis): the goal is to advance the field by facilitating the exchange of ideas, identifying new research directions, and fostering new research collaborations.


The Banff International Research Station
for Mathematical Innovation and Discovery (BIRS) is a collaborative
Canada-US-Mexico venture that provides an environment for creative
interaction as well as the exchange of ideas, knowledge, and methods
within the Mathematical Sciences, with related disciplines and with
industry. The research station is located at The Banff Centre in
Alberta and is supported by Canada's Natural Science and Engineering
Research Council (NSERC), the U.S. National Science Foundation (NSF),
and Alberta's Advanced Education and Technology.