Results 91 to 100 of about 92,426 (217)

Rough integrators on Banach manifolds [PDF]

arXiv, 2014
We introduce a notion of p-rough integrator on any Banach manifolds, for any $p\geq 1$, which plays the role of weak geometric Holder p-rough paths in the usual Banach space setting. The awaited results on rough differential equations driven by such objects are proved, and a canonical representation is given if the manifold is equipped with a ...
arxiv  

Quantitative expansivity for ergodic Zd$\mathbb {Z}^d$‐actions

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We study expansiveness properties of positive measure subsets of ergodic Zd$\mathbb {Z}^d$‐actions along two different types of structured subsets of Zd$\mathbb {Z}^d$, namely, cyclic subgroups and images of integer polynomials. We prove quantitative expansiveness properties in both cases, strengthening combinatorial results from two distinct ...
Alexander Fish, Sean Skinner
wiley   +1 more source

The number of equilibria of smooth infinite economies with separable utilities [PDF]

We construct an index theorem for smooth infinite economies with separable utilities that shows that generically the number of equilbria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of ...
Covarrubias, Enrique
core   +1 more source

From the conformal anomaly to the Virasoro algebra

Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.
Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley   +1 more source

On the continuity of the map square root of nonnegative isomorphisms in Hilbert spaces

Revista Integración, 2015
Let H be a real (or complex) Hilbert space. Every nonnegative operator L ∈ L(H) admits a unique nonnegative square root R ∈ L(H), i.e., a nonnegative operator R ∈ L(H) such that R2 = L.
Jeovanny de Jesus Muentes Acevedo
doaj  

Quasi-differentiable Banach manifold and phase-diagram of invariant parabolic differential equation in such manifold [PDF]

arXiv, 2019
The purpose of this paper is twofold. First we study a class of Banach manifolds which are not differentiable in traditional sense but they are quasi-differentiable in the sense that a such Banach manifold has an embedded submanifold such that all points in that submanifold are differentiable and tangent spaces at those points can be defined.
arxiv  

The Banach manifold $C^k(M,N)$ [PDF]

arXiv, 2018
Let $M$ be a closed manifold and let $N$ be a connected manifold without boundary. For each $k\in\mathbb{N}$ the set of $k$ times continuously differentiable maps between $M$ and $N$ has the structure of a smooth Banach manifold where the underlying manifold topology is the compact-open $C^k$ topology.
arxiv  

On the delbar-equation in a Banach space [PDF]

arXiv, 1999
We show that on the unit ball of a certain separable Banach space there is a smooth delbar-closed (0,1)-form which is not locally delbar-exact. Further, the Dolbeault isomorphism theorem does not generalize to arbitrary Banach spaces. Lastly, the Newlander-Nirenberg theorem does not generalize to arbitrary smooth integrable almost complex Banach ...
arxiv  

Determinacy of equilibria of smooth infinite economies [PDF]

This paper deals with generic determinacy of equilibria for infinite dimensional consumption spaces. Our work could be seen as an infinite-dimensional analogue of Dierker and Dierker (1972), by characterising equilibria of an economy as a zero of the ...
Covarrubias, Enrique
core   +1 more source

Correction to: Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces [PDF]

, 2021
Mazyar Ghani Varzaneh, Sebastian Riedel
openalex   +1 more source