9 papers
Orthogonal Decomposition of Discretization-Induced Transport-Information Cost under Rank-Deficient Parametrizations
Koretaka Yuge
When we consider discretization of continuous probability distributions, it inevitably induces irreversible geometric distortion of local measure on the discretized support. While…
Unavoidable Canonical Nonlinearity Induced by Gaussian Measures Discretization
Koretaka Yuge
When we consider canonical averages for classical discrete systems, typically referred to as substitutional alloys, the map phi from many-body interatomic interactions to thermodyn…
Path-Integral Formulation of Unavoidable Canonical Nonlinearity: Dynamic Discretization Cost over Variable Supports
Koretaka Yuge
In the statistical thermodynamics of classical discrete systems, the map from microscopic interactions to thermodynamic equilibrium configurations generally exhibits complex nonlin…
Nonequilibrium Bounds for Canonical Nonlinearity Under Single-Shot Work
Koretaka Yuge, Yutaro Sakamoto
For classical discrete systems under constant composition (specifically substitutional alloys), canonical average acts as a map from a set of many-body interatomic interactions to…
Thermodynamic Approach for Nonlinearity within Canonical Ensemble
Koretaka Yuge
In the field of classical discrete systems, specifically substitutional alloys, this study introduces a stochastic thermodynamic approach to address nonlinearity within a canonical…
Geometric Study on Canonical Nonlinearity for FCC-based Binary Alloys
Koretaka Yuge, Ikumi Nishihara
For classical discrete systems under constant composition (typically reffered to as substitutional alloys), canonical average can act as a map from a set of many-body interatomic i…