Pith. sign in

REVIEW 1 cited by

A Study of Directional Entropy Arising from \(mathbb{Z} times mathbb{Z}_+\) Semigroup Actions

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 2505.10428 v1 pith:EFS2PBHR submitted 2025-05-15 math.DS

A Study of Directional Entropy Arising from \(mathbb{Z} times mathbb{Z}_+\) Semigroup Actions

Hasan Akin This is my paper
classification math.DS
keywords directionalentropymathbbactionsemphsemigrouparisingautomata
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

In this chapter, we investigate directional entropy for semigroup actions generated by one-dimensional linear cellular automata (LCAs) and the shift transformation on the compact metric space $\mathbb{Z}_m^{\mathbb{N}}$. This work provides a systematic study of both \emph{topological directional entropy} (TDE) within Milnor's geometric framework and \emph{measure-theoretic directional entropy} via the Kolmogorov--Sinai formalism.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

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

  1. SearchEyes: Towards Frontier Multimodal Deep Search Intelligence via Search World Simulation

    cs.AI 2026-07 unverdicted novelty 6.0

    SearchEyes unifies multimodal search-agent training via Perception-Knowledge Chains on Wikidata5M and Hop-Anchored Policy Optimization, claiming a 6.2-point average gain over the strongest open-source baseline on six ...