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math.AT2026
Avalanche homology of digraphs via sandpile dynamics
Henri Riihimäki, Jason P. Smith
We introduce avalanche homology as a new (di)graph homology theory, based on the dynamics of the sandpile model. Avalanche homology is the simplicial homology of the avalanche comp…
math.AT2023★ 1 cited
Foundations of Differential Calculus for modules over posets
Jacek Brodzki, Ran Levi, Henri Riihimäki
Let be a field and let be a small category. A -linear representation of , or a -module, is a functor from to the category of finite dimensional vector spaces…
math.AT2022★ 2 cited
Simplicial -connectivity of directed graphs with applications to network analysis
Henri Riihimäki
Directed graphs are ubiquitous models for networks, and topological spaces they generate, such as the directed flag complex, have become useful objects in applied topology. The sim…