A neural microcircuit model for a scalable scale‐invariant representation of time
Sign Up to like & getrecommendations! Published in 2019 at "Hippocampus"
DOI: 10.1002/hipo.22994
Abstract: Scale‐invariant timing has been observed in a wide range of behavioral experiments. The firing properties of recently described time cells provide a possible neural substrate for scale‐invariant behavior. Earlier neural circuit models do not produce… read more here.
Keywords: time cells; scale invariant; neural microcircuit; time ... See more keywords
Conformal and pure scale-invariant gravities in d dimensions
Sign Up to like & getrecommendations! Published in 2025 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2025)202
Abstract: We consider conformal and scale-invariant gravities in d dimensions, with a special focus on pure R2 gravity in the scale-invariant case. In four dimensions, the structure of these theories is well known. However, in dimensions… read more here.
Keywords: gravities dimensions; invariant gravities; gravity; degrees freedom ... See more keywords
Refined Blow-up Behavior for Reaction-Diffusion Equations with Non Scale Invariant Exponential Nonlinearities
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-025-10447-1
Abstract: We consider positive radial decreasing blow-up solutions of the semilinear heat equation \begin{equation*} u_t-\Delta u=f(u):=e^{u}L(e^{u}),\quad x\in \Omega,\ t>0, \end{equation*} where $\Omega=\mathbb{R}^n$ or $\Omega=B_R$ and $L$ is a slowly varying function (which includes for instance logarithms… read more here.
Keywords: equation; blow behavior; behavior reaction; scale invariant ... See more keywords
Fractal dimension analogous scale-invariant derivative of Hirsch’s index
Sign Up to like & getrecommendations! Published in 2022 at "Applied Network Science"
DOI: 10.1007/s41109-021-00443-x
Abstract: We propose a scale-invariant derivative of the h- index as “ h -dimension”, which is analogous to the fractal dimension of the h- index for institutional performance analysis. The design of h- dimension comes from… read more here.
Keywords: invariant derivative; dimension analogous; index; dimension ... See more keywords
On supersymmetric geometric flows and R2 inflation from scale invariant supergravity
Sign Up to like & getrecommendations! Published in 2017 at "Annals of Physics"
DOI: 10.1016/j.aop.2017.06.016
Abstract: Abstract Models of geometric flows pertaining to R 2 scale invariant (super) gravity theories coupled to conformally invariant matter fields are investigated. Related to this work are supersymmetric scalar manifolds that are isomorphic to the… read more here.
Keywords: scale invariant; geometric evolution; geometric flows; gravity ... See more keywords
Interlayer and Intralayer Scale Aggregation for Scale-invariant Crowd Counting
Sign Up to like & getrecommendations! Published in 2021 at "Neurocomputing"
DOI: 10.1016/j.neucom.2021.01.112
Abstract: Crowd counting is an important vision task, which faces challenges on continuous scale variation within a given scene and huge density shift both within and across images. These challenges are typically addressed using multi-column structures… read more here.
Keywords: scale invariant; intralayer scale; crowd counting; interlayer ... See more keywords
Scale-specific dynamics of high-amplitude bursts in EEG capture behaviorally meaningful variability
Sign Up to like & getrecommendations! Published in 2021 at "NeuroImage"
DOI: 10.1016/j.neuroimage.2021.118425
Abstract: Cascading high-amplitude bursts in neural activity, termed avalanches, are thought to provide insight into the complex spatially distributed interactions in neural systems. In human neuroimaging, for example, avalanches occurring during resting-state show scale-invariant dynamics, supporting… read more here.
Keywords: scale invariant; amplitude bursts; high amplitude; variability ... See more keywords
MAPPING PROPERTIES OF A SCALE INVARIANT CASSINIAN METRIC AND A GROMOV HYPERBOLIC METRIC
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972717000570
Abstract: We consider a scale invariant Cassinian metric and a Gromov hyperbolic metric. We discuss a distortion property of the scale invariant Cassinian metric under Möbius maps of a punctured ball onto another punctured ball. We… read more here.
Keywords: cassinian metric; scale invariant; metric gromov; invariant cassinian ... See more keywords
BerkSEL: A scale-invariant laser beyond the Schawlow-Townes two-mirror strategy
Sign Up to like & getrecommendations! Published in 2024 at "Nature Communications"
DOI: 10.1038/s41467-024-46338-0
Abstract: I argue that a surface emitting laser that remains single mode irrespective of its size, a scale-invariant laser, should of necessity also waste light at the edge. This is a fundamental departure from the Schawlow-Townes… read more here.
Keywords: laser; schawlow townes; invariant laser; townes two ... See more keywords
Scale-invariant magnetic anisotropy in RuCl3 at high magnetic fields
Sign Up to like & getrecommendations! Published in 2020 at "Nature Physics"
DOI: 10.1038/s41567-020-1028-0
Abstract: In RuCl 3 , inelastic neutron scattering and Raman spectroscopy reveal a continuum of non-spin-wave excitations that persists to high temperature, suggesting the presence of a spin liquid state on a honeycomb lattice. In the… read more here.
Keywords: magnetic fields; scale invariant; high magnetic; magnetic anisotropy ... See more keywords
Scale-invariant breathing oscillations and transition of the electron energization mechanism in magnetized discharges
Sign Up to like & getrecommendations! Published in 2024 at "Applied Physics Letters"
DOI: 10.1063/5.0195056
Abstract: Scale-invariant breathing oscillations are observed in similar magnetized discharges at different spatiotemporal scales via fully kinetic particle-in-cell simulations. With an increase in the similarity invariant B/p, i.e., the ratio of magnetic field to pressure, breathing… read more here.
Keywords: energization; scale invariant; electron energization; energization mechanism ... See more keywords