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• Polynomial and horizontally polynomial functions on Lie groups 

  Antonelli, Gioacchino; Le Donne, Enrico (Springer, 2022)

  We generalize both the notion of polynomial functions on Lie groups and the notion of horizontally affine maps on Carnot groups. We fix a subset S of the algebra g of left-invariant vector fields on a Lie group G and we ...

• Extremal polynomials in stratified groups 

  Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide (International Press, 2018)

  We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal sub-Riemannian extremals ...

• Matriisin Hessenbergin muoto 

  Holopainen, Niko (2013)

• On a Continuous Sárközy-Type Problem 

  Kuca, Borys; Orponen, Tuomas; Sahlsten, Tuomas (Oxford University Press (OUP), 2023)

  We prove that there exists a constant ϵ>0ϵ>0 with the following property: if K⊂R2K⊂R2 is a compact set that contains no pair of the form {x,x+(z,z2)}{x,x+(z,z2)} for z≠0z≠0⁠, then dimHK≤2−ϵdimH⁡K≤2−ϵ⁠.

• Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research 

  Abramovich, Sergei; Kuznetsov, Nikolay V.; Leonov, Gennady A. (MDPI AG, 2022)

  Fibonacci-like polynomials, the roots of which are responsible for a cyclic behavior of orbits of a second-order two-parametric difference equation, are considered. Using Maple and Wolfram Alpha, the location of the largest ...