8 citations · 8 across the 4 of their papers we have counts for
4 papers
Dimension Bounds for Systems of Equations with Graph Structure
Eddie Nijholt, Davide Sclosa
We introduce a broad class of equations that are described by a graph, which includes many well-studied systems. For these, we show that the number of solutions (or the dimension o…
A Random-Walk Concentration Principle for Occupancy Processes on Finite Graphs
Davide Sclosa, Michel Mandjes, Christian Bick
This paper concerns discrete-time occupancy processes on a finite graph. Our results can be formulated in two theorems, which are stated for vertex processes, but also applied to e…
From Combinatorics to Geometry: The Dynamics of Graph Gradient Diffusion
Davide Sclosa
We discuss a link between graph theory and geometry that arises when considering graph dynamical systems with odd interactions. The equilibrium set in such systems is not a collect…
Dynamical Systems on Graph Limits and Their Symmetries
Christian Bick, Davide Sclosa
The collective dynamics of interacting dynamical units on a network crucially depends on the properties of the network structure. Rather than considering large but finite graphs to…