Results 111 to 120 of about 36,312 (298)
Recurrence on affine Grassmannians [PDF]
Ergodic Theory and Dynamical Systems, 2018 We study the action of the affine group$G$of$\mathbb{R}^{d}$on the space$X_{k,\,d}$of$k$-dimensional affine subspaces. Given a compactly supported Zariski dense probability measure$\unicode[STIX]{x1D707}$on$G$, we show that$X_{k,d}$supports a$\unicode[STIX]{x1D707}$-stationary measure$\unicode[STIX]{x1D708}$if and only if the$(k+1)\text{th}$Lyapunov ...
Yves Benoist, Caroline Bruère
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Feynman integrals of Grassmannians
Physical Review D, 2022 We embed Feynman integrals in the subvarieties of Grassmannians through homogenization of the integrands in projective space, then obtain GKZ-systems satisfied by those scalar integrals. The Feynman integral can be written as linear combinations of the hypergeometric functions of a fundamental solution system in neighborhoods of regular singularities ...
Feng, Tai-Fu +2 more
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Some applications of canonical metrics to Landau–Ginzburg models
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley +1 more source
The Core of a Grassmannian Frame
Journal of Fourier Analysis and Applications, 2023 Let $X=\{x_i\}_{i=1}^m$ be a set of unit vectors in $\RR^n$. The coherence of $X$ is $\coh(X):=\max_{i\not=j}|\langle x_i, x_j\rangle|$. A vector $x\in X$ is said to be isolable if there are no unit vectors $x'$ arbitrarily close to $x$ such that $|\langle x', y\rangle|n$ vectors for $\RR^n$ has the property that each vector in the core makes angle $ $
Peter G. Casazza +2 more
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The mathematics of dots and pixels: On the theoretical foundations of image halftoning
GAMM-Mitteilungen, Volume 48, Issue 1, March 2025.Abstract The evolution of image halftoning, from its analog roots to contemporary digital methodologies, encapsulates a fascinating journey marked by technological advancements and creative innovations. Yet the theoretical understanding of halftoning is much more recent.
Felix Krahmer, Anna Veselovska
wiley +1 more source
Critical Varieties in the Grassmannian
Communications in Mathematical Physics, 2023 54 pages, 24 figures; v2: bibliography updated, various exposition ...
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Grassmannians and pseudosphere arrangements [PDF]
Journal de l’École polytechnique — Mathématiques, 2021 We extend vector configurations to more general objects that have nicer combinatorial and topological properties, called weighted pseudosphere arrangements. These are defined as a weighted variant of arrangements of pseudospheres, as in the Topological Representation Theorem for oriented matroids.
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On the natural nullcones of the symplectic and general linear groups
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Consider a group acting on a polynomial ring S$S$ over a field K$\mathbb {K}$ by degree‐preserving K$\mathbb {K}$‐algebra automorphisms. Several key properties of the invariant ring can be deduced by studying the nullcone of the action, that is, the vanishing locus of all nonconstant homogeneous invariant polynomials.
Vaibhav Pandey +2 more
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Shift orbits for elementary representations of Kronecker quivers
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let r∈N⩾3$r \in \mathbb {N}_{\geqslant 3}$. We denote by Kr$K_r$ the wild r$r$‐Kronecker quiver with r$r$ arrows γi:1⟶2$\gamma _i \colon 1 \longrightarrow 2$ and consider the action of the group Gr⊆Aut(Z2)$G_r \subseteq \operatorname{Aut}(\mathbb {Z}^2)$ generated by δ:Z2⟶Z2,(x,y)↦(y,x)$\delta \colon \mathbb {Z}^2 \longrightarrow \mathbb {Z}^2,
Daniel Bissinger
wiley +1 more source
Geometric Poisson brackets on Grassmannians and conformal spheres [PDF]
, 2009 In this paper we relate the geometric Poisson brackets on the Grassmannian of 2-planes in R^4 and on the (2,2) Moebius sphere. We show that, when written in terms of local moving frames, the geometric Poisson bracket on the Moebius sphere does not ...
Beffa, G. Mari, Eastwood, M.
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