Showing items with similar title or keywords.

• Topics in the geometry of non-Riemannian lie groups 

  Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017)

• Dimension of projection : Marstrand's theorem 

  Pesonen, Sofia (2022)

  Tässä tutkielmassa todistetaan Marstrandin projektiolause käyttäen apuna potentiaaliteoriaa. Projektiolauseen mukaan 2-ulotteisen Borel joukon ortogonaaliprojektion Hausdorffin dimensio on luvun 1 ja kyseisen Borel joukon ...

• Regularity and modulus of continuity of space-filling curves 

  Kauranen, Aapo; Koskela, Pekka; Zapadinskaya, Aleksandra (Magnes Press, 2019)

  We study critical regularity assumptions on space-filling curves that possess certain modulus of continuity. The bounds we obtain are essentially sharp, as demonstrated by an example.

• Dimension comparison and H-regular surfaces in Heisenberg groups 

  Arvila, Miro (2024)

  In this thesis we study a specific Carnot group which is the $n$-th Heisenberg group $\mathbb{H}^n = (\mathbb{R}^{2n+1}, \ast)$. Carnot groups are simply connected nilpotent Lie groups whose Lie algebra admits a stratification. ...

• On a class of singular measures satisfying a strong annular decay condition 

  Arroyo, Ángel; Llorente, José G. (American Mathematical Society, 2019)

  A metric measure space (X, d, t) is said to satisfy the strong annular decay condition if there is a constant C > 0 such that for each x E X and all 0 < r < R. If do., is the distance induced by the co -norm in RN, we ...