Showing items with similar title or keywords.

• 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 ...

• Matriisin Hessenbergin muoto 

  Holopainen, Niko (2013)

• Polynomimatriisit 

  Lindberg, Antti (2014)

  Tämän tutkielman sisältö voidaan karkeasti jakaa kahteen osaan. Ensimmäisessä on tarkoituksena tarkastella polynomimatriiseja ja erityisesti osoittaa toimiviksi kaksi niiden muokkaamiseen soveltuvaa algoritmia. Algoritmit ...

• 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.

• On several notions of complexity of polynomial progressions 

  Kuca, Borys (Cambridge University Press, 2023)

  For a polynomial progression (x, x + P1(y), . . . , x + Pt(y)), we define four notions of complexity: Host Kra complexity, Weyl complexity, true complexity and algebraic complexity. The first two describe the smallest ...