Recent Submissions

  • Key Exchange in Special Circumstances 

    Fondevik, Elsie Mestl (Doctoral theses at NTNU;2024:246, Doctoral thesis, 2024)
  • Poissonian correlations of higher orders 

    Hauke, Manuel; Zafeiropoulos, Agamemnon (Peer reviewed; Journal article, 2023)
  • A note on Real line bundles with connection and Real smooth Deligne cohomology 

    Flydal, Peter Marius; Quick, Gereon; Svanes, Eirik Eik (Peer reviewed; Journal article, 2024)
    We define a Real version of smooth Deligne cohomology for manifolds with involution which interpolates between equivariant sheaf cohomology and smooth imaginary-valued forms. Our main result is a classification of Real ...
  • Internal Higher Category Theory 

    Martini, Louis (Doctoral theses at NTNU;2024:251, Doctoral thesis, 2024)
    The goal of this thesis is to lay the foundations for a theory of ∞-categories internal to an ∞-topos B. Our model for such internal ∞-categories is based on the notion of a complete Segal object, but can equivalently be ...
  • Curvature of the base manifold of a Monge–Ampère fibration and its existence 

    Wan, Xueyuan; Wang, Xu (Journal article; Peer reviewed, 2022)
    In this paper, we consider a special relative Kähler fibration that satisfies a homogenous Monge–Ampère equation, which is called a Monge–Ampère fibration. There exist two canonical types of generalized Weil–Petersson ...
  • Metric results on summatory arithmetic functions on Beatty sets 

    Technau, Marc; Zafeiropoulos, Agamemnon (Peer reviewed; Journal article, 2021)
  • On a remark by Ohsawa related to the Berndtsson-Lempert method for L2-holomorphic extension 

    Nguyen, Tai Terje Huu; Wang, Xu (Journal article; Peer reviewed, 2022)
    In [15, Remark 4.1], Ohsawa asked whether it is possible to prove Theorem 4.1 and Theorem 0.1 in [15] using the Berndtsson–Lempert method. We shall answer Ohsawa’s question affirmatively in this paper. Our approach also ...
  • Distributional Generating Series in Nonlinear Control Theory 

    Gray, W Steven; Pham, Natalie; Schmeding, Alexander (Chapter, 2024)
    In linear system theory, the commutative algebra of integrable functions under convolution does not have a unit unless one includes the Dirac delta or impulse function. In the broader context of nonlinear systems, such ...
  • Quipu Quivers and Nakayama Algebras with Almost Separate Relations 

    Fosse, Didrik (Journal article; Peer reviewed, 2023)
    A Nakayama algebra with almost separate relations is one where the overlap between any pair of relations is at most one arrow. In this paper we give a derived equivalence between such Nakayama algebras and path algebras ...
  • Spectral Invariance of ∗ -Representations of Twisted Convolution Algebras with Applications in Gabor Analysis 

    Austad, Are (Journal article; Peer reviewed, 2021)
    We show spectral invariance for faithful ∗-representations for a class of twisted convolution algebras. More precisely, if G is a locally compact group with a continuous 2-cocycle c for which the corresponding Mackey group ...
  • Cohomologies of complex manifolds with symplectic (1, 1)-forms 

    Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2023)
    Let (X,J) be a complex manifold with a non-degenerated smooth d-closed (1,1)-form ω. Then we have a natural double complex ∂ +∂Λ, where ∂Λ denotes the symplectic adjoint of the ∂-operator. Westudy the Hard Lefschetz Condition ...
  • Structure preserving and machine learning methods for mechanical systems 

    Çokaj, Ergys (Doctoral theses at NTNU;2024:253, Doctoral thesis, 2024)
  • Robust online active learning 

    Cacciarelli, Davide; Kulahci, Murat; Tyssedal, John Sølve (Journal article; Peer reviewed, 2023)
    In many industrial applications, obtaining labeled observations is not straightforward as it often requires the intervention of human experts or the use of expensive testing equipment. In these circumstances, active learning ...
  • Local Drift Forecasting with Simplified Ocean Models and Multi-Level Data Assimilation 

    Beiser, Florian (Doctoral theses at NTNU;2024:241, Doctoral thesis, 2024)
    Search-and-rescue operations at sea are supported by fast predictions of drift trajectories that are classically based on operational ocean models. This thesis promotes a complementary approach for drift forecasting based ...
  • ICLR 2022 Challenge for Computational Geometry & Topology: Design and Results 

    Myers, Adele; Utpala, Saiteja; Talbar, Shubham; Sanborn, Sophia; Shewmake, Christian; Donnat, Claire; Mathe, Johan; Lupo, Umberto; Sonthalia, Rishi; Cui, Xinyue; Szwagier, Tom; Pignet, Arthur; Bergsson, Andri; Hauberg, Søren; Nielsen, Dmitriy; Sommer, Stefan; Klindt, David; Hermansen, Erik; Vaupel, Melvin; Dunn, Benjamin Adric; Xiong, Jeffrey; Aharony, Noga; Noga, Aharony; Pe’er, Itsik; Ambellan, Felix; Hanik, Martin; Nava-Yazdani, Esfandiar; von Tycowicz, Christoph; Miolane, Nina (Peer reviewed; Journal article, 2022)
    This paper presents the computational challenge on differential geometry and topology that was hosted within the ICLR 2022 workshop “Geometric and Topo- logical Representation Learning”. The competition asked participants ...
  • A dichotomy for extreme values of zeta and Dirichlet L-functions 

    Bondarenko, Andrii; Darbar, Pranendu; Hagen, Markus Valås; Heap, Paul Winston; Seip, Kristian (Peer reviewed; Journal article, 2023)
    We exhibit large values of the Dedekind zeta function of a cyclotomic field on the critical line. This implies a dichotomy whereby one either has improved lower bounds for the maximum of the Riemann zeta function, or large ...
  • 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 ...
  • The Confidence Density for Correlation 

    Taraldsen, Gunnar (Peer reviewed; Journal article, 2021)
    Inference for correlation is central in statistics. From a Bayesian viewpoint, the final most complete outcome of inference for the correlation is the posterior distribution. An explicit formula for the posterior density ...
  • Using aromas to search for preserved measures and integrals in Kahan’s method 

    Bogfjellmo, Geir; Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf Rustad; Quispel, Gilles Reinout Willem (Peer reviewed; Journal article, 2023)
    The numerical method of Kahan applied to quadratic differential equations is known to often generate integrable maps in low dimensions and can in more general situations exhibit preserved measures and integrals. Computerized ...
  • Structure preserving deep learning 

    Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia (Peer reviewed; Journal article, 2021)
    Over the past few years, deep learning has risen to the foreground as a topic of massive interest, mainly as a result of successes obtained in solving large-scale image processing tasks. There are multiple challenging ...

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