Environmental deformations dynamically shift the grid cell spatial metric
نویسندگان
چکیده
منابع مشابه
Θ-deformations as Compact Quantum Metric Spaces
LetM be a compact spin manifold with a smooth action of the ntorus. Connes and Landi constructed θ-deformations Mθ of M , parameterized by n×n real skew-symmetric matrices θ. TheMθ’s together with the canonical Dirac operator (D,H) on M are an isospectral deformation of M . The Dirac operator D defines a Lipschitz seminorm on C(Mθ), which defines a metric on the state space of C(Mθ). We show th...
متن کاملΘ-deformations as Quantum Compact Metric Spaces
Let M be a compact spin manifold with a smooth action of the ntorus. Connes and Landi constructed θ-deformations Mθ of M , parameterized by n × n skew-symmetric matrices θ. The Mθ’s together with the canonical Dirac operator (D,H) on M are an isospectral deformation of M . The Dirac operator D defines a Lipschitz seminorm on C(Mθ), which defines a metric on the state space of C(Mθ). We show tha...
متن کاملHarmonic spinors and local deformations of the metric
Let (M, g) be a compact Riemannian spin manifold. The AtiyahSinger index theorem yields a lower bound for the dimension of the kernel of the Dirac operator. We prove that this bound can be attained by changing the Riemannian metric g on an arbitrarily small open set.
متن کاملImproving grid performance by dynamically deploying applications
Grid applications are normally deployed on computing nodes beforehand, which may cause the undesirable situation that some of these nodes (with hot applications deployed) are always busy whereas the others are consistently idle. Therefore, the overall performance (e.g. throughput and load balancing) of such a Grid system would be seriously degraded. In this paper, we present the idea of Hierarc...
متن کاملVisualizing Spatial Autocorrelation with Dynamically Linked Windows Visualizing Spatial Autocorrelation with Dynamically Linked Windows 1
Several recent efforts have focused on adding exploratory data analysis functionality to geographic information systems (GIS) by integrating established statistical software with a GIS. In this paper, we outline an alternative approach, where the functionality is built from scratch, using a combination of small libraries of dedicated functions, rather than relying on the full scope of existing ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: eLife
سال: 2018
ISSN: 2050-084X
DOI: 10.7554/elife.38169