4 papers · 1 filter
On Interactions for Large Scale Interacting Systems
Kenichi Bannai, Jun Koriki, Makiko Sasada +2
Statistical mechanics explains the properties of macroscopic phenomena based on the movements of microscopic particles such as atoms and molecules. Movements of microscopic particl…
Topological Structures of Large Scale Interacting Systems via Uniform Functions and Forms
Kenichi Bannai, Yukio Kametani, Makiko Sasada
In this article, we investigate the topological structure of large scale interacting systems on infinite graphs, by constructing a suitable cohomology which we call the uniform coh…
On Uniform Functions on Configuration Spaces of Large Scale Interacting Systems
Kenichi Bannai, Makiko Sasada
Stochastic large scale interacting systems can be studied via the observables, i.e. functions on the underlying configuration space. In our previous article, we introduced the conc…
Varadhan's Decomposition of Shift-Invariant Closed -forms for Large Scale Interacting Systems on the Euclidean Lattice
Kenichi Bannai, Makiko Sasada
We rigorously formulate and prove for a relatively general class of interactions Varadhan's Decomposition of shift-invariant closed -forms for a large scale interacting system…