01
Published research
Peer-reviewed work across mathematics, information theory and interdisciplinary science.
Papers · Preprints
◆ Public archive · 01
Documents.
Published, written and shared. A living index of research and ideas, built for verification rather than volume.
02
Independent writings
Essays and working notes on knowledge, technology, wellbeing and responsibility.
Essays · Notes
03
Shared material
Open resources created to make complex ideas usable beyond specialist circles.
Open archive
Journal articles
Research, indexed.
Structure and Requirements for a Knowledge Architecture
Gatti, R. (2024). “Structure and Requirements for a Knowledge Architecture.” Preprints.
Launch Proposals for a Space Projectile
Gatti, R. (2024). “Launch Proposals for a Space Projectile.” HAL Open Science, France.
From Doppler Effect to Black Hole
Gatti, R. (2024). “From Doppler Effect to Black Hole.” HAL Open Science, France. ⟨hal-04699724⟩.
Gilbreath Equation, Gilbreath Polynomials, and Upper and Lower Bounds for Gilbreath Conjecture
Gatti, R. (2023). Mathematics, 11(18), 4006.
DIY Time Machine
Gatti, R. (2023). “DIY Time Machine.” ScienceOpen Preprints.
IdentityHypermatrix
Gatti, R. (2022). “IdentityHypermatrix.” From MathWorld — A Wolfram Web Resource.
HyperTr
Gatti, R. (2022). “HyperTr.” From MathWorld — A Wolfram Web Resource.
HyperDet
Gatti, R. (2022). “HyperDet.” From MathWorld — A Wolfram Web Resource.
Triangle Read by Rows Where Row m is the m-th Gilbreath Polynomial
Gatti, R. and OEIS Foundation Inc. (2022). Triangle read by rows where row m is the m-th Gilbreath polynomial and column n is the numerator of the coefficient of the n-th degree term.
Lowest Common Denominator of n-th Gilbreath Polynomial
Gatti, R. and OEIS Foundation Inc. (2022). a(n) is the lowest common denominator of n-th Gilbreath polynomial.
Number of Distinct Solutions for the Maximum Value of the Gilbreath Equation
Gatti, R. and OEIS Foundation Inc. (2022). Number of distinct solutions for the maximum value of the Gilbreath equation of an ordered sequence of n integers.
DeBruijnNewmanH
Gatti, R. (2021). “DeBruijnNewmanH.” From MathWorld — A Wolfram Web Resource.
Writings
Notes and proposals.
Spettrofotometria AAM
Il progetto mira a introdurre e sviluppare competenze spettrofotometriche all’interno dell’AAM, coinvolgendo soci e pubblico generalista in un percorso formativo e operativo…
Astroinformatics AAM: Data Science per l’Astronomia Amatoriale
Con la presente proposta si intende avviare un nuovo filone di ricerca all’interno dell’Associazione Astrofili Mantovani, basato sull’impiego di tecniche avanzate di elaborazione dati per l’analisi automatica e semiautomatica di fenomeni astrofisici transitori…
Progetto per una stazione radioastronomica
La radioastronomia è una branca della scienza che studia l’universo attraverso l’analisi delle onde radio emesse da stelle, galassie e altre sorgenti celesti…
My contribution to cybersecurity
Entropy is a powerful concept but its application is limited and context-specific. In particular, understanding security is not only about the properties of the system but also about the nature of information exchange and interpretation. The concept of entropy extends beyond its boundaries. In biology, quantum mechanics, meteorology and influencing various fields through metrics and probabilistic models…
Scienza e divulgazione UGIS
In questa nota proponiamo alcune attività di immediata attuazione da intraprendere nell’ambito della collaborazione con l’Unione Giornalisti Italiani Scientifici (UGIS)…
Ricerca radioastronomica AAM
Con la presente nota proponiamo all’Associazione Astrofili Mantovani un progetto di ricerca finalizzato al consolidamento dell’attività scientifica e all’apertura verso nuove aree di indagine. In particolare, intendiamo porre l’attenzione sul progetto di radioastronomia open source Whistle of Wind…
Accademia Nazionale Virgiliana: Ricerca e Divulgazione
Inevitabilmente, gli interessi dell’Accademia sono legati al territorio in cui opera ma vorrei che questa proposta non fosse limitata alle attività nel mantovano ma venisse intesa come modello estendibile…