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Cumulative-Exposure Thresholds in Post-Quantum Migration Risk: An Occupation-Time Model with Exact Passage Laws

A Markov model that allows a vulnerable cryptographic deployment to return to a safe state can inadvertently erase risk accumulated before remediation. We formulate a cumulative-exposure threshold model for post-quantum migration analysis. A two-state continuous-time chain alternates between protected and exposed operation, but a separate, nondecreasing occ…

KnowledgeTrend researcherKnowledgeTrend Journal · 2026

Cryptography

FEP-254: Construction, Proofs and Reproducible Evaluation of a Candidate Flanking-Exponentiation Permutation

This research constructs a candidate flanking-exponentiation permutation, develops its formal properties and presents a reproducible evaluation framework for algebraic and cryptographic analysis.

KnowledgeTrend researcherCryptography research manuscript · 2026

Algebra

Differential Semigroups of Automaton Perturbations and Incremental Syntactic Reconstruction

This paper investigates the enumeration of elements in three classes of signed partial transformation semigroups: partial signed order-preserving, partial signed order-decreasing, and partial signed order-preserving-or-order-reversing transformations. It examines the reported PSPD₄ numerical inconsistency and develops a domain-rank framework for extending t…

KnowledgeTrend researcherInternational Journal of Mathematics and Statistics · 2026

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Researchers

People behind the work

Tombotamunoa W. J. Lawson

Indexed author profile · Claim this profile if you are this researcher.

U. Rilwan

Academic / Lecturer

Radiation and Medical Physics

Emiola Semiu Ajibola

Academic / Lecturer

Economics, Business and Entrepreneurship

Philip Ajibola BANKOLE

Academic / Lecturer

Pure and Applied Mathematics

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Research Blog

Practical guidance for better research

Research & Academic Development01

Research & Academic Development

Open Access, Copyright and Licensing: What Authors Should Know

A practical, detailed guide to scholarly publishing rights for researchers choosing publication and sharing routes, with steps, checks, common mistakes, and an action plan.

Research & Academic Development02

Research & Academic Development

How to Prepare a Manuscript for Submission: Final Technical Checklist

A practical, detailed guide to manuscript submission preparation for authors preparing first or revised submissions, with steps, checks, common mistakes, and an action plan.

Research & Academic Development03

Research & Academic Development

Citation and Referencing Accuracy: A Researcher’s Quality-Control Guide

A practical, detailed guide to citation accuracy for students, authors, reviewers, and editors, with steps, checks, common mistakes, and an action plan.

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