Blar i Institutt for matematiske fag på tidsskrift "Advances in Mathematics"
Viser treff 1-16 av 16
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Auslander's formula and correspondence for exact categories
(Peer reviewed; Journal article, 2022)The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this paper we introduce the category of admissibly finitely presented functors and use it to give a version of Auslander correspondence ... -
Auslander-Gorenstein algebras and precluster tilting
(Journal article; Peer reviewed, 2018)We generalize the notions of n-cluster tilting subcategories and τselfinjective algebras into n-precluster tilting subcategories and τn-selfinjective algebras, where we show that a subcategory naturally associated to ... -
Boundary maps, germs and quasi-regular representations
(Peer reviewed; Journal article, 2022) -
Categorification and the quantum Grassmannian
(Peer reviewed; Journal article, 2022) -
Change of rings and singularity categories
(Journal article, 2019)We investigate the behavior of singularity categories and stable categories of Gorenstein projective modules along a morphism of rings. The natural context to approach the problem is via change of rings, that is, the ... -
Completeness of certain exponential systems and zeros of lacunary polynomials
(Journal article; Peer reviewed, 2023)Let Γ be a subset of {0, 1, 2, ...}. We show that if Γhas ‘gaps’ then the completeness and frame properties of the system {tk e2πint : n ∈ Z, k ∈ Γ} differ from those of the classical exponential systems. This phenomenon ... -
Composition series of arbitrary cardinality in modular lattices and abelian categories
(Journal article; Peer reviewed, 2023)For a certain family of complete modular lattices, we prove a “Jordan–Hölder–Schreier-like” theorem with no assumptions on cardinality or well-orderedness. This family includes both lattices with are both join- and ... -
Deformations and Balian-Low theorems for Gabor frames on the adeles
(Journal article; Peer reviewed, 2022) -
Geometric Hodge filtered complex cobordism
(Peer reviewed; Journal article, 2023)We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every smooth manifold with a filtration on its de Rham complex with complex coefficients. Using a refinement of the Pontryagin–Thom ... -
The gradient flow of infinity-harmonic potentials
(Peer reviewed; Journal article, 2021)We study the streamlines of ∞-harmonic functions in planar convex rings. We include convex polygons. The points where streamlines can meet are characterized: they lie on certain curves. The gradient has constant norm along ... -
Homotopy-coherent algebra via Segal conditions
(Peer reviewed; Journal article, 2021)Many homotopy-coherent algebraic structures can be described by Segal-type limit conditions determined by an “algebraic pattern”, by which we mean an ∞-category equipped with a factorization system and a collection of ... -
Monotone, free, and boolean cumulants: a shuffle algebra approach
(Journal article; Peer reviewed, 2018)The theory of cumulants is revisited in the “Rota way”, that is, by following a combinatorial Hopf algebra approach. Monotone, free, and boolean cumulants are considered as infinitesimal characters over a particular ... -
Pair Correlation estimates for the zeros of the zeta function via semidefinite programming
(Peer reviewed; Journal article, 2020)In this paper we study the distribution of the non-trivial zeros of the Riemann zeta-function ζ(s) (and other L-functions) using Montgomery's pair correlation approach. We use semidefinite programming to improve upon ... -
A shuffle algebra point of view on operator-valued probability theory
(Peer reviewed; Journal article, 2022) -
The multiplicative Hilbert matrix
(Journal article; Peer reviewed, 2016) -
Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type
(Journal article; Peer reviewed, 2017)We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem for the anomalous diffusion equation ∂tu−Lμ[φ(u)]=0. Here Lμ can be any nonlocal symmetric degenerate ...