• A non-local approach to waves of maximal height for the Degasperis-Procesi equation 

      Arnesen, Mathias Nikolai (Journal article; Peer reviewed, 2019)
      We consider the non-local formulation of the Degasperis-Procesi equation , where L is the non-local Fourier multiplier operator with symbol . We show that all , pointwise travelling-wave solutions are bounded above by the ...
    • C*-algebras associated to Boolean dynamical systems 

      Carlsen, Toke Meier; Ortega Esparza, Eduard; Pardo, Enrique (Journal article; Peer reviewed, 2017-01-18)
      The goal of these notes is to present theC∗-algebraC∗(B,L,θ) of a Boolean dynamical system(B,L,θ), that generalizes theC∗-algebra associated to labelled graphs introduced by Bates and Pask, and todetermine its simplicity, ...
    • Catlin's boundary systems for sums of squares domains 

      Aidoo, Nicholas (Peer reviewed; Journal article, 2023)
      For any given sum of squares domain in Cn , we reduce the complexity in Catlin's multitype techniques by giving a complete normalization of the geometry. Using this normalization result, we present a more elementary proof ...
    • A converse to the Schwarz lemma for planar harmonic maps 

      Brevig, Ole Fredrik; Ortega-Cerdà, Joaquim; Seip, Kristian (Peer reviewed; Journal article, 2021)
      A sharp version of a recent inequality of Kovalev and Yang on the ratio of the (H1)∗ and H4 norms for certain polynomials is obtained. The inequality is applied to establish a sharp and tractable sufficient condition for ...
    • Decay and symmetry of solitary waves 

      Arnesen, Mathias Nikolai (Peer reviewed; Journal article, 2022)
    • Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids 

      Carlsen, Toke Meyer; Eilers, Søren; Ortega Esparza, Eduardo; Restorff, Gunnar (Journal article; Peer reviewed, 2018)
      We give conditions for when continuous orbit equivalence of one-sided shift spaces implies flow equivalence of the associated two-sided shift spaces. Using groupoid techniques, we prove that this is always the case for ...
    • Maximal norm Hankel operators 

      Brevig, Ole Fredrik; Seip, Kristian (Peer reviewed; Journal article, 2024)
    • Purely infinite crossed products by endomorphisms 

      Ortega Esparza, Eduardo; Pardo, E (Journal article; Peer reviewed, 2014)
      We study the crossed product C*-algebra associated to injective endomorphisms, which turns out to be equivalent to study the crossed product by the dilated automorphism. We prove that the dilation of the Bernoulli p -shift ...
    • Topological freeness for C*-correspondences 

      Carlsen, Toke; Kwasniewski, Bartosz K.; Ortega Esparza, Eduardo (Journal article; Peer reviewed, 2019)
      We study conditions that ensure uniqueness theorems of Cuntz–Krieger type for relative Cuntz–Pimsner algebras associated to a ⁎-correspondence X over a ⁎-algebra A. We give general sufficient conditions phrased in terms ...
    • Yang-Mills connections on quantum Heisenberg manifolds 

      Kang, Sooran; Luef, Franz; Judith, Packer (Journal article; Peer reviewed, 2020)
      We investigate critical points and minimizers of the Yang-Mills functional YM on quantum Heisenberg manifolds Dc µν, where the Yang-Mills functional is defined on the set of all compatible linear connections on finitely ...