Elevated effective dimension in tree-like nanomagnetic Cayley structures.
Sign Up to like & getrecommendations! Published in 2019 at "Nanoscale"
DOI: 10.1039/c9nr07510k
Abstract: Using state-of-the-art electron-beam lithography, Ising-type nanomagnets may be defined onto nearly any two-dimensional pattern imaginable. The ability to directly observe magnetic configurations achieved in such artificial spin systems makes them a perfect playground for the… read more here.
Keywords: effective dimension; cayley; tree; artificial spin ... See more keywords
Generalised spectral dimensions in non-perturbative quantum gravity
Sign Up to like & getrecommendations! Published in 2022 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/acd0fc
Abstract: The seemingly universal phenomenon of scale-dependent effective dimensions in non-perturbative theories of quantum gravity has been shown to be a potential source of quantum gravity phenomenology. The scale-dependent effective dimension from quantum gravity has only… read more here.
Keywords: quantum gravity; gravity; effective dimension; non perturbative ... See more keywords
Bayesian one- and two-sided inference on the local effective dimension
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DOI: 10.1214/25-ejs2389
Abstract: It is a challenge to manage infinite- or high-dimensional data in situations where storage, transmission, or computation resources are constrained. In the simplest scenario when the data consists of a noisy infinite-dimensional signal, we introduce… read more here.
Keywords: effective dimension; local effective; sided inference; two sided ... See more keywords
Counting-Based Effective Dimension and Discrete Regularizations
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e25030482
Abstract: Fractal-like structures of varying complexity are common in nature, and measure-based dimensions (Minkowski, Hausdorff) supply their basic geometric characterization. However, at the level of fundamental dynamics, which is quantum, structure does not enter via geometric… read more here.
Keywords: dimension discrete; based effective; effective dimension; measure based ... See more keywords