Results 81 to 90 of about 26,527 (250)

Grassmannian Sigma Models

Advances in Theoretical and Mathematical Physics
51 pages, 7 ...
Bykov, Dmitri, Krivorol, Viacheslav
openaire   +3 more sources

Robust and Differentially Private Principal Component Analysis

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 18, Issue 6, December 2025.
ABSTRACT Recent advances have sparked significant interest in the development of privacy‐preserving Principal Component Analysis (PCA). However, many existing approaches rely on restrictive assumptions, such as assuming sub‐Gaussian data or being vulnerable to data contamination.
Minwoo Kim, Sungkyu Jung
wiley   +1 more source

Torus quotient of the Grassmannian $G_{n,2n}$

Comptes Rendus. Mathématique, 2023
Let $G_{n,2n}$ be the Grassmannian parameterizing the $n$-dimensional subspaces of $\mathbb{C}^{2n}$. The Picard group of $G_{n,2n}$ is generated by a unique ample line bundle $\mathcal{O}(1)$.
Nayek, Arpita, Saha, Pinakinath
doaj   +1 more source

A note on higher integrability of projections

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3699-3708, December 2025.
Abstract Let t∈[1,2)$t \in [1,2)$ and p>2/(2−t)$p > 2/(2 - t)$. I construct a t$t$‐Frostman Borel measure μ$\mu$ on [0,1]2$[0,1]^{2}$ such that πθμ∉Lp$\pi _{\theta }\mu \notin L^{p}$ for every θ∈S1$\theta \in S^{1}$. This answers a question of Peres and Schlag.
Tuomas Orponen
wiley   +1 more source

Polygon spaces and Grassmannians

, 1996
We study the moduli spaces of polygons in R^2 and R^3, identifying them with subquotients of 2-Grassmannians using a symplectic version of the Gel'fand-MacPherson correspondence. We show that the bending flows defined by Kapovich-Millson arise as a reduction of the Gel'fand-Cetlin system on the Grassmannian, and with these determine the pentagon and ...
Hausmann, Jean-Claude, Knutson, Allen
openaire   +4 more sources

Conformal optimization of eigenvalues on surfaces with symmetries

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley   +1 more source

Grassmannians of secant varieties [PDF]

Forum Mathematicum, 2001
AMS-TeX with amsppt style, 12 ...
CHIANTINI, LUCA, Coppens M.
openaire   +5 more sources

A Hilton–Milner theorem for exterior algebras

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Recent work of Scott and Wilmer and of Woodroofe extends the Erdős–Ko–Rado theorem from set systems to subspaces of k$k$‐forms in an exterior algebra. We prove an extension of the Hilton–Milner theorem to the exterior algebra setting, answering in a strong way a question asked by these authors.
Denys Bulavka, Francesca Gandini, Russ Woodroofe   +2 more
wiley   +1 more source

Existence and orthogonality of stable envelopes for bow varieties

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley   +1 more source