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Driessel ["Computing canonical forms using flows", Linear Algebra and Its Applications 2004] introduced the notion of quasi-projection onto the range of a linear transformation from one inner product space into another inner product space.…

General Mathematics · Mathematics 2007-05-23 Kenneth R. Driessel , Alf Gerisch

Under suitable conditions a flow on a torus $C^{(p)}$--close, with $p$ large enough, to a quasi periodic diophantine rotation is shown to be conjugated to the quasi periodic rotation by a map that is analytic in the perturbation size. This…

We show that the group C*-algebra of any elementary amenable group is quasidiagonal. This is an offspring of recent progress in the classification theory of nuclear C*-algebras.

Operator Algebras · Mathematics 2014-09-24 Narutaka Ozawa , Mikael Rordam , Yasuhiko Sato

We obtain limit theorems (Stable Laws and Central Limit Theorems, both Gaussian and non-Gaussian) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost Anosov flows, constructed here. The proofs of the limit…

Dynamical Systems · Mathematics 2020-03-24 Henk Bruin , Dalia Terhesiu , Mike Todd

The completion of a (normed) $C^*$-algebra $A_0[\| \cdot \|_0]$ with respect to a locally convex topology $\tau$ on $A_0$ that makes the multiplication of $A_0$ separately continuous is, in general, a quasi *-algebra, and not a locally…

Mathematical Physics · Physics 2009-04-07 F. Bagarello , M. Fragoulopoulou , A. Inoue , C. Trapani

There are two different spectral flows on the N=2 superconformal algebras (four in the case of the Topological algebra). The usual spectral flow, first considered by Schwimmer and Seiberg, is an even transformation, whereas the spectral…

High Energy Physics - Theory · Physics 2009-10-30 Beatriz Gato-Rivera

These are lecture notes for a Master 2 course on rough differential equations driven by weak geometric Holder p-rough paths, for any p>2. They provide a short, self-contained and pedagogical account of the theory, with an emphasis on flows.…

Classical Analysis and ODEs · Mathematics 2014-04-04 Ismael Bailleul

We introduce a parabolic flow of almost Kahler structures, providing an approach to constructing canonical geometric structures on symplectic manifolds. We exhibit this flow as one of a family of parabolic flows of almost Hermitian…

Differential Geometry · Mathematics 2012-11-27 Jeffrey Streets , Gang Tian

Suppose B is an ultraproduct of finite dimensional C^\ast-algebras. We consider mapping and injectability properties for separable C^\ast-algebras into B. In the case of approximately finite C^\ast-algebras, we obtain a classification of…

Operator Algebras · Mathematics 2007-05-23 F. Javier Thayer

In this paper we present some results on a family of geometric flows introduced by Bourguignon that generalize the Ricci flow. For suitable values of the scalar parameter involved in these flows, we prove short time existence and provide…

Differential Geometry · Mathematics 2017-04-25 Giovanni Catino , Laura Cremaschi , Zindine Djadli , Carlo Mantegazza , Lorenzo Mazzieri

In 2007, Chow and Glickenstein considered a linear semi-discrete analogue of the second-order curve shortening flow for smooth closed curves. In this article, we consider linear semi-discrete analogues of the polyharmonic curve diffusion…

Classical Analysis and ODEs · Mathematics 2025-02-11 James McCoy , Jahne Meyer

Mean curvature flows of hypersurfaces have been extensively studied and there are various different approaches and many beautiful results. However, relatively little is known about mean curvature flows of submanifolds of higher…

Differential Geometry · Mathematics 2011-04-19 Mu-Tao Wang

In this paper, we study inextensible flows of partially null and pseudo null curves in E_1^4. We give neccessary and sufficent conditions for inextensible flows of partially null and pseudo null curves in E_1^4

Differential Geometry · Mathematics 2013-03-13 Zuhal Kucukarslan Yuzbasi , Mehmet Bektas

We review some recent results on the mean curvature flows of Lagrangian submanifolds from the perspective of geometric partial differential equations. These include global existence and convergence results, characterizations of first-time…

Differential Geometry · Mathematics 2011-04-19 Mu-Tao Wang

We define two conformal structures on $S^1$ which give rise to a different view of the affine curvature flow and a new curvature flow, the ``$Q$-curvature flow". The steady state of these flows are studied. More specifically, we prove four…

Analysis of PDEs · Mathematics 2007-05-23 Yilong Ni , Meijun Zhu

In this paper we study almost proximal extensions of minimal flows. Let $\pi: (X,T)\rightarrow (Y,T)$ be an extension of minimal flows. $\pi$ is called an almost proximal extension if there is some $N \in \mathbb{N}$ such that the…

Dynamical Systems · Mathematics 2021-12-21 Yang Cao , Song Shao

We develop the theory of quasi-$F^e$-splittings, quasi-$F$-regularity, and quasi-$+$-regularity.

Algebraic Geometry · Mathematics 2024-04-11 Hiromu Tanaka , Jakub Witaszek , Fuetaro Yobuko

The concept of derivation for Lie-Yamaguti algebras is generalized in this paper. A quasi-derivation of an LY-algebra is embedded as derivation in a larger LY-algebra. The relationship between quasi-derivations and robustness of…

Rings and Algebras · Mathematics 2019-01-14 Jie Lin , Yao Ma , Liangyun Chen

Starting from a (non-associative) quasi-Poisson structure, the derivation of a Roytenberg-type algebra is presented. From the Jacobi identities of the latter, the most general form of Bianchi identities for fluxes (H,f,Q,R) is then derived.…

High Energy Physics - Theory · Physics 2015-06-05 Ralph Blumenhagen , Andreas Deser , Erik Plauschinn , Felix Rennecke

Assuming a-priori a smooth generating vector field, we introduce a generally covariant measure of the flow geometry called the referential gradient of the flow. The main result is the explicit relation between the referential gradient and…

Mathematical Physics · Physics 2014-11-21 J. K. Edmondson