In tunable 3D fractal lattices with spectral dimension ds from 2 to 3, the Anderson transition critical disorder increases from 0 to 16.6 and the critical exponent decreases inversely with ds.
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Absence of Diffusion in Certain Random Lattices
12 Pith papers cite this work. Polarity classification is still indexing.
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cond-mat.dis-nn 3 cond-mat.quant-gas 2 cond-mat.mes-hall 1 cond-mat.soft 1 cs.DC 1 cs.LG 1 hep-th 1 physics.hist-ph 1 physics.optics 1verdicts
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First experimental demonstration of 3D Anderson localization of microwaves in disordered metal aggregates, distinguished from diffusion via scaling analysis of transmitted beam width.
Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.
Introduces Distributed Level-Blocked MPK combining RACE cache blocking with MPI, reporting substantial speedups up to 4x on 832 cores for matrix power kernels across scientific sparse matrices.
On the Bethe lattice the LLT percolation transition is mean-field while the Anderson transition is not, showing LLT reproduces some low-disorder features but fails to capture quantum critical properties.
Random Matrix Theory detects overfitting via growing Correlation Traps in weight spectra during the anti-grokking phase of neural network training.
A tunable microscopic model of network liquids with a liquid-liquid phase transition, analyzed via RFOT theory, predicts nanonucleation near the glass transition and links thermodynamic and kinetic anomalies when matched to water-like conditions.
Interactions and quasiperiodic driving in the Lieb-Liniger kicked-boson model generate synthetic dimensions that realize Anderson localization and its critical behavior in up to four effective dimensions.
Time-domain Maxwell simulations of disordered high-index particle packs yield dynamical, spectral, and spatial signatures consistent with three-dimensional Anderson localization of vector light.
Coupling a skin-localized non-Hermitian chain to a delocalized chain induces a pseudo mobility edge in complex energy that separates localized and extended states, with a quantized winding number characterizing transitions under mixed boundary conditions.
Enrico Fermi's legacy from his Varenna lectures has shaped milestones in laser spectroscopy, Bose-Einstein condensation, and quantum information science.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
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Detecting overfitting in Neural Networks during long-horizon grokking using Random Matrix Theory
Random Matrix Theory detects overfitting via growing Correlation Traps in weight spectra during the anti-grokking phase of neural network training.
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The Legacy of Enrico Fermi to Varenna
Enrico Fermi's legacy from his Varenna lectures has shaped milestones in laser spectroscopy, Bose-Einstein condensation, and quantum information science.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.