316 citations · 1.6k across the 59 of their papers we have counts for
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A notion of continuity in discrete spaces and applications
Valerio Capraro
We propose a notion of continuous path for locally finite metric spaces, taking inspiration from the recent development of A-theory for locally finite connected graphs. We use this…
Groups associated to -factors
Nathanial P. Brown, Valerio Capraro
We extend recent work of the first named author, constructing a natural Hom semigroup associated to any pair of II-factors. This semigroup always satisfies cancelation, hence e…
Amenability, locally finite spaces, and bi-lipschitz embeddings
Valerio Capraro
We define the isoperimetric constant for any locally finite metric space and we study the property of having isoperimetric constant equal to zero. This property, called Small Neigh…
Existence of equilibria in countable games: an algebraic approach
Valerio Capraro, Marco Scarsini
Although mixed extensions of finite games always admit equilibria, this is not the case for countable games, the best-known example being Wald's pick-the-larger-integer game. Sever…