3 papers
cond-mat.stat-mech2021
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…
cond-mat.stat-mech2019
Scaling in simple continued fraction
Avinash Chand Yadav
We consider a class of real numbers, a subset of irrational numbers and certain mathematical constants, for which the elements in the simple continued fraction appears to be random…
cond-mat.stat-mech2016
Exact solution for a sample space reducing stochastic process
Avinash Chand Yadav
Stochastic processes wherein the size of the state space is changing as a function of time offer models for the emergence of scale-invariant features observed in complex systems. I…