## 18 Citations

### The Surprising Accuracy of Benford’s Law in Mathematics

- MathematicsAm. Math. Mon.
- 2020

Benford’s law is proved to be an empirical “law” governing the frequency of leading digits in numerical data sets, and the observed behavior is related to classical results in Diophantine approximation as well as recent deep conjectures in this area.

### The L2 Discrepancy of Irrational Lattices

- Mathematics
- 2013

It is well known that, when α has bounded partial quotients, the lattices \(\big\{\big(k/N,\{k\alpha \}\big)\big\}_{k=0}^{N-1}\) have optimal extreme discrepancy. The situation with the L 2…

### Bionic Birdlike Imaging Using a Multi-Hyperuniform LED Array

- PhysicsSensors
- 2021

By comparing the experimental results with the images captured with a conventional digital camera, it has been demonstrated that the proposed imaging system forms images with less chromatic moiré patterns and color misregistration artifacts.

### Counting in generic lattices and higher rank actions

- Mathematics
- 2021

We consider the problem of counting lattice points contained in domains in R defined by products of linear forms and we show that the normalized discrepancies in these counting problems satisfy…

### Elementary geometry on the integer lattice

- Mathematics
- 2018

The n-dimensional integer lattice, denoted by $${{\mathbb {Z}}}^n$$Zn, is the subset of $${{\mathbb {R}}}^n$$Rn consisting of those points whose coordinates are all integers. In this expository…

### Genetic determination and layout rules of visual cortical architecture

- Biology
- 2017

This dissertation provides a biologically plausible scheme for quantitatively encoding functional visual cortical architecture by genetic information that circumvents the alleged information bottleneck and devise maximum entropy models of three-dimensional functional visual cortex architectures in different geometries.

### Hyperuniformity of quasicrystals

- Physics
- 2017

Hyperuniform systems, which include crystals, quasicrystals and special disordered systems, have attracted considerable recent attention, but rigorous analyses of the hyperuniformity of quasicrystals…

### Effect of window shape on the detection of hyperuniformity via the local number variance

- Physics
- 2016

Hyperuniform many-particle systems in d-dimensional space Rd, which includes crystals, quasicrystals, and some exotic disordered systems, are characterized by an anomalous suppression of density…

### Pell equation and randomness

- Mathematics
- 2015

Finding the integer solutions of a Pell equation is equivalent to finding the integer lattice points in a long and narrow tilted hyperbolic region, located along a straight line passing through the…