3 papers
math.CO2024
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…
math.PR2024
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…
math.DS2023
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…