Published

Journal Articles

• N. Cangiotti, Feynman diagrams beyond physics: from biology to economy, Mathematics, 12(9), 1295, 2024. 

• N. Cangiotti, M. Caponi, A. Maione and E. Vitillaro, Schrödinger-Maxwell equations driven by mixed local-nonlocal operators, Fractional Calculus and Applied Analysis, Online First Publishing, 2024. 

• N. Cangiotti, M. Caponi, A. Maione and E. Vitillaro, Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators, Milan Journal of Mathematics, Online First Publishing,  2023. 

• N. Cangiotti, M. Capolli, M. Sensi and S. Sottile, A survey on Lyapunov functions for epidemic compartmental models, Bollettino dell'Unione Matematica Italiana, Online First Publishing, 2023.

• N. Cangiotti, M. Capolli and M. Sensi, A generalization of unaimed fire Lanchester’s model in multi-battle warfare, Operational Research, 23, Article 38, 2023.

• F. Nappo, N. Cangiotti and C. Sisti, Confirming Mathematical Conjectures by Analogy, Erkenntnis, 2023, Online First Publishing, 2023.

• N. Cangiotti and F. Nappo, Reasoning by Analogy in Mathematical Practice, Philosophia Mathematica,  Online First Publishing, 2023.

• N. Cangiotti and M. Sensi, Exact solutions for a Solow-Swan model with non-constant returns to scale, Indian Journal of Pure and Applied Mathematics, Online First Publishing, 2022.

• N. Cangiotti and M. Sensi, Benford’s Law: a Number-Theoretical Perspective, Palestine Journal of Mathematics, 11(3), pp. 379-385, 2022.

• N. Cangiotti and M. Sensi, Notes on a conformal characterization of 2-dimensional Lorentzian manifolds with constant Ricci scalar curvature, U.P.B. Scientific Bulletin, Series A, 83(2), pp. 129-136, 2021. 

• N. Cangiotti and M. Sensi, A geometric characterization of VES and Kadiyala-type production functions. Filomat 35(5), pp. 1661-1670, 2021.

• S. Albeverio, N. Cangiotti and S. Mazzucchi, A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field. Communications in Mathematical Physics 37, pp. 1461-1503, 2020.

• N. Cangiotti and S. Mazzucchi, Ogawa Integrability and a Condition for Convergence in the Multidimensional Case, Journal of Stochastic Analysis 1(1) , Article 4, 2020. 

• S. Albeverio, N. Cangiotti and S. Mazzucchi, Generalized Feynman path integrals and applications to higher-order heat-type equations, Expositiones Mathematicae 36(3-4), pp. 406-429, 2018.

Conference proceedings

• M. Di Bello, N. Cangiotti and M. Loi, Classification Parity, Causal Equal Protection and Algorithmic Fairness. Abstract in: Proceedings of the 2nd European Workshop on Algorithmic Fairness (EWAF'23), 2023.

• D. Brunetto and N. Cangiotti, Online team working with emerging technologies in a university math class. In: 8th International Conference on Higher Education Advances (HEAd'22), Editorial Universitat Politècnica de València,  pp. 1263-1270, 2022. 

Forthcoming

•  D. Brunetto C. Bassi, N. Cangiotti and F. Nappo, PiGame 2023: una escape room matematica, soon in: Didattica della matematica. Dalla ricerca alle pratiche d’aula, 2024. 

Preprints

• M. Di Bello, N. Cangiotti and M. Loi, Causal Equal Protection as Algorithmic Fairness (2024).
  Preprint available on arXiv.

• N. Cangiotti, M. Capolli, Morrey-Campanato Functional Spaces for Carnot Groups (2023).
  Preprint available on arXiv.

• N. Cangiotti and A. Linzi, On projective spaces over local fields (2023).
  Preprint available on arXiv.

• N. Cangiotti and S. Grasso, Genus comparisons in the topological analysis of RNA structures (2023).
  Preprint available on arXiv.

• F. Nappo and N. Cangiotti, What is so special about analogue simulations? (2022).
  Preprint available on arXiv.

• N. Cangiotti and D. Taufer, Normal and pseudonormal numbers (2021).
  Preprint available on arXiv.

Working Paper

• N. Cangiotti and M. Loi, Group Fairness Is Not Derivable From Justice: a Mathematical Proof (2022). 

Reviewer for the following journal:

• Foundation of Physics (Springer)

• Electronic Research Archive (American Institute of Mathematical Sciences)