13 citations · 20 across the 5 of their papers we have counts for
5 papers
Scaling features in the Olami-Feder-Christensen model
Naveen Kumar, Rahul Chhimpa, Avinash Chand Yadav
We consider the Olami-Feder-Christensen (OFC) model on a square lattice with open boundary conditions. The model exhibits self-organized criticality and explains the Gutenberg-Rich…
Continuity of higher-order derivatives for integrated density of states of the discrete Anderson model with respect to the disorder parameter
Dhriti Ranjan Dolai, Naveen Kumar
We derive quantitative continuity estimates for the higher-order derivatives of the integrated density of states (IDS) with respect to the disorder parameter for the Anderson model…
Energy fluctuations in one dimensional Zhang sandpile model
Naveen Kumar, Suram Singh, Avinash Chand Yadav
We consider the Zhang sandpile model in one-dimension (1D) with locally conservative (or dissipative) dynamics and examine its total energy fluctuations at the external drive time…
Linking space-time correlations for a class of self-organized critical systems
Naveen Kumar, Suram Singh, Avinash Chand Yadav
The hypothesis of self-organized criticality explains the existence of long-range `space-time' correlations, observed inseparably in many natural dynamical systems. A simple link b…
Scaling theory for the noise
Avinash Chand Yadav, Naveen Kumar
We show that in a broad class of processes that show a spectrum, the power also explicitly depends on the characteristic time scale. Despite an enormous amount of work, thi…