Results 31 to 40 of about 43,110 (140)

Centrality of star and monotone factorisations

Bulletin of the London Mathematical Society, EarlyView.
Abstract A factorisation problem in the symmetric group is central if conjugate permutations always have the same number of factorisations. We give the first fully combinatorial proof of the centrality of transitive star factorisations that is valid in all genera, which answers a natural question of Goulden and Jackson from 2009.
Jesse Campion Loth, Amarpreet Rattan
wiley   +1 more source

On Noncommutative and semi-Riemannian Geometry

, 2002
We introduce the notion of a semi-Riemannian spectral triple which generalizes the notion of spectral triple and allows for a treatment of semi-Riemannian manifolds within a noncommutative setting.
Alexander Strohmaier, Baum, Bognar, Cipriani, Connes, Connes, Dixmier, Gracia-Bondia, Hawkins, Kalau, Kastler, Kopf, Landi, O’Neill, Parfionov, Reed, Taylor   +16 more
core   +3 more sources

Maximal symplectic torus actions

Bulletin of the London Mathematical Society, EarlyView.
Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley   +1 more source

The noncommutative Lorentzian cylinder as an isospectral deformation

, 2003
We present a new example of a finite-dimensional noncommutative manifold, namely the noncommutative cylinder. It is obtained by isospectral deformation of the canonical triple associated to the Euclidean cylinder. We discuss Connes' character formula for
Brodzki, Connes, Connes, Connes, Connes, Connes, Dubois-Violette, Elliot, Estrada, Gracia-Bondı́a, Green, Kamani, Konechny, Landsman, Langmann, Nest, Parfionov, Ramazan, Rennie, Rieffel, Rieffel, Rieffel, Rieffel, Schweitzer, Seiberg, Strohmaier, Várilly, Várilly, W. D. van Suijlekom   +28 more
core   +1 more source

Fat equator effect and minimality in immersions and submersions of the sphere

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley   +1 more source

A parametrized compactness theorem under bounded Ricci curvature

, 2017
We prove a parametrized compactness theorem on manifolds of bounded Ricci curvature, upper bounded diameter and lower bounded injectivity radius.Comment: 17 pages. Final version to appear in Front. Math. China. Reformulation of Theorem B to Corollary 1,
Li, Xiang, Xu, Shicheng
core   +1 more source

A note on the magnetic Steklov operator on functions

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar, Katie Gittins, Georges Habib, Norbert Peyerimhoff   +3 more
wiley   +1 more source

The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.
Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source