# Complexities of Human Promoter Sequences

## TL;DR

This study uses the diffusion entropy approach to analyze 4737 human promoter sequences, revealing scale-invariance with a wide range of exponents and asymmetric Gaussian distributions.

## Contribution

It introduces the application of diffusion entropy to characterize scale-invariance in human promoter sequences, highlighting asymmetries in the distribution of exponents.

## Key findings

- Scale-invariance exponents range from 0.3 to 0.9, centered at 0.66.
- Distribution of exponents is asymmetric and fits Gaussian functions.
- Distinct left and right branches indicate different underlying properties.

## Abstract

By means of the diffusion entropy approach, we detect the scale-invariance characteristics embedded in the 4737 human promoter sequences. The exponent for the scale-invariance is in a wide range of $[ {0.3,0.9} ]$, which centered at $\delta_c = 0.66$. The distribution of the exponent can be separated into left and right branches with respect to the maximum. The left and right branches are asymmetric and can be fitted exactly with Gaussian form with different widths, respectively.