One-parameter extension of the Doi-Peliti formalism and relation with orthogonal polynomials

Jun Ohkubo

One-parameter extension of the Doi-Peliti formalism and relation with orthogonal polynomials

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1206.0062 v1 pith:P4I5W7WB submitted 2012-06-01 cond-mat.stat-mech physics.chem-ph

Jun Ohkubo This is my paper · ORCID

classification cond-mat.stat-mechphysics.chem-ph

keywords polynomialsformalismdoi-pelitiextensionorthogonaladditioncharlierchemical

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

An extension of the Doi-Peliti formalism for stochastic chemical kinetics is proposed. Using the extension, path-integral expressions consistent with previous studies are obtained. In addition, the extended formalism is naturally connected to orthogonal polynomials. We show that two different orthogonal polynomials, i.e., Charlier polynomials and Hermite polynomials, can be used to express the Doi-Peliti formalism explicitly.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity
hep-th 2026-07 conditional novelty 7.0 of 10

Polynomial changes of the initial state in Krylov complexity are solved exactly via Christoffel transforms of the spectral measure, yielding finite-band amplitude transfer and projected-kernel complexity formulas with...

Pith tools