Author

C. Giardinà

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Preprint Oct 2026

Path space large deviation on a lattice for interacting particle systems

We investigate the path space large deviation principle (LDP) for a class of interacting particle systems on a fixed finite discrete torus. As an illustrative example, we use the partial exclusion process with maximal occupation of $s$ particles. We first verify the standard Kurtz-type law of large numbers for the orig...

C. Giardinà, T. Sasamoto · 1 citation

Preprint Oct 2026

Large spin large deviations for interacting particle systems

We propose a novel framework for analyzing the sample-path large deviations of interacting particle systems directly on a lattice by considering a large-spin limit ($s \to \infty$). Through an appropriate scaling of variables, the process concentrates around its deterministic trajectory, governed by the lattice diffusi...

C. Giardinà, T. Sasamoto · 1 citation