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math.PR2025
Chase-escape with conversion on the complete graph
Matthew Junge, Sergio Rodríguez
We prove that chase-escape with conversion on the complete graph undergoes a phase transition at equal fitness and derive simple asymptotic formulas for the extinction probability,…
math.GN2025
Totally Disconnected (non-metric) Gelfand Duality
Sebastián Rodríguez, Xavier Caicedo
We characterize those algebras over a disconnected uniformly complete topological field which are representable as algebras of continuous functions on compact topological spaces, g…