Zobrazeno 1 - 10
of 937
pro vyhledávání: '"Rosenberg, Steven P."'
This paper contains corrections to Madea, Rosenberg, Torres-Ardila, "The Geometry of Loop Spaces II: Characteristic Classes," Advances in Math. (287), 2016, 485-518. The main change is that results about $\pi_1({\rm Diff}(M))$ are replaced by results
Externí odkaz:
http://arxiv.org/abs/2405.00651
Autor:
Rosenberg, Steven
In this note, we compute the reproducing kernel for the RKHS of functions on $\mathbb{R}^n$ in a sufficiently high Sobolev norm.
Externí odkaz:
http://arxiv.org/abs/2307.08696
We give examples of spin $4$-manifolds with boundary that do not admit metrics of positive scalar curvature and nonnegative mean curvature. These manifolds in fact have the stronger property that the conformal Laplacian with appropriate boundary cond
Externí odkaz:
http://arxiv.org/abs/2302.05521
While natural gradients have been widely studied from both theoretical and empirical perspectives, we argue that some fundamental theoretical issues regarding the existence of gradients in infinite dimensional function spaces remain underexplored. We
Externí odkaz:
http://arxiv.org/abs/2202.06232
Autor:
Rosenberg, Steven, Xu, Jie
We introduce an iterative scheme to solve the Yamabe equation $ - a\Delta_{g} u + S u = \lambda u^{p-1} $ on small domains $(\Omega,g)\subset {\mathbb R}^n$ equipped with a Riemannian metric $g$. Thus $g$ admits a conformal change to a constant scala
Externí odkaz:
http://arxiv.org/abs/2110.14543
We study the diffeomorphism and isometry groups of manifolds $\overline {M_p}$, $p\in\mathbb Z$, which are circle bundles over a closed $4n$-dimensional integral symplectic manifold. Equivalently, $\overline{M_p}$ is a compact $(4n+1)$-dimensional co
Externí odkaz:
http://arxiv.org/abs/2011.01800
Publikováno v:
Sustainable Cities and Society (2022): 103984
Commercial buildings account for approximately 35% of total US electricity consumption, of which nearly two-thirds is met by fossil fuels resulting in an adverse impact on the environment. This adverse impact can be mitigated by lowering energy consu
Externí odkaz:
http://arxiv.org/abs/2004.06633
While the study of a single network is well-established, technological advances now allow for the collection of multiple networks with relative ease. Increasingly, anywhere from several to thousands of networks can be created from brain imaging, gene
Externí odkaz:
http://arxiv.org/abs/2004.04765
Autor:
Rosenberg, Steven, Xu, Jie
We produce a series of Central Limit Theorems (CLTs) associated to compact metric measure spaces $(K,d,\eta)$, with $\eta$ a reasonable probability measure. For the first CLT, we can ignore $\eta$ by isometrically embedding $K$ into ${\mathcal C}(K)$
Externí odkaz:
http://arxiv.org/abs/2001.02793
Autor:
Gold, Dara, Rosenberg, Steven
Gradient descent, or negative gradient flow, is a standard technique in optimization to find minima of functions. Many implementations of gradient descent rely on discretized versions, i.e., moving in the gradient direction for a set step size, recom
Externí odkaz:
http://arxiv.org/abs/1901.09057