Shigeo Kaneko

What does Tafel curvature measure? A signed composition law for electrochemical kinetics

Tafel curvature is often interpreted as a direct estimate of the reorganisation energy of an electrode reaction. This preprint examines the assumptions behind that interpretation using a decomposition of forward and backward rate constants into an affinity-dependent antisymmetric...

Renewal structure and critical dimension of causal set d'Alembertians

Plain-language summary Causal set theory models spacetime as a discrete collection of events ordered by cause and effect. On such a set, the wave operator, the basic rule for how a field propagates, has to be built from counts of events in the past. These constructions are nonloc...

Renewal structure and critical dimension of causal set d'Alembertians

Plain-language summary Causal set theory models spacetime as a discrete collection of events ordered by cause and effect. On such a set, the wave operator, the basic rule for how a field propagates, has to be built from counts of events in the past. These constructions are nonloc...

Asymptotic Sufficiency Depth, Volume VI: Projective Holonomy Contact and Observation-Relative Information Loss

Version 2 correction. In Theorem 3.5, Eqs. (18) and (19) now distinguish equality of the leading asymptotic terms of the forward and reverse hidden Kullback-Leibler losses from equality of their exact values. The two directions share the coefficient (1/2) Jπ,K(u) and, when this F...

Asymptotic Sufficiency Depth, Volume V: From a Fixed Borel Benchmark to Regime-Dependent Resurgent Geometry

Version 2 correction. Version 2 corrects one phase in the exceptional supercritical m = P − 3Q = 2 Stokes seed. In the fixed continuation basis, the corrected entry is (S0)P−1,P = exp(−iπΛ)A1. The numerical matrix value changes only on the scaled family (p,q) = (5g,g). The correc...

Asymptotic Sufficiency Depth, Volume V: From a Fixed Borel Benchmark to Regime-Dependent Resurgent Geometry

Version 2 correction. Version 2 corrects one phase in the exceptional supercritical m = P − 3Q = 2 Stokes seed. In the fixed continuation basis, the corrected entry is (S0)P−1,P = exp(−iπΛ)A1. The numerical matrix value changes only on the scaled family (p,q) = (5g,g). The correc...

A circulation bound on the frenetic component of branch selection

Plain-language summary Driven systems, from reacting chemical mixtures and active materials to living systems maintained away from equilibrium, can settle into more than one stable state. The maximum entropy production principle is often invoked to predict which state will be sel...