3 citations · 7 across the 11 of their papers we have counts for
8 papers · 1 filter
Fractal dimension for Inhomogeneous graph-directed attractors
Shivam Dubey, Saurabh Verma
In this paper, we define inhomogeneous Graph-Directed (GD) separation conditions for a given inhomogeneous GD Iterated Function Systems (IFS), and estimate the upper box dimension…
Hausdorff dimension and infinitesimal similitudes on complete metric spaces
S. Verma
In this paper, we answer a question of Nussbaum, Priyadarshi, and Lunel [Positive operators and Hausdorff dimension of invariant sets, Trans. Amer. Math. Soc. 364(2) (2012) 1029-10…
Dimensional analysis of fractal interpolation functions
S. Verma, S. Jha
We provide a rigorous study on dimensions of fractal interpolation function defined on a closed and bounded interval of which is associated to a continuous function wi…
Quantization dimension and stability for infinite self-similar measures with respect to geometric mean error
Mrinal K. Roychowdhury, Saurabh Verma
Let be a Borel probability measure associated with an iterated function system consisting of a countably infinite number of contracting similarities and an infinite probability…
A study on Quantization Dimension in complete metric spaces
Mrinal K. Roychowdhury, S. Verma
The primary objective of the present paper is to develop the theory of quantization dimension of an invariant measure associated with an iterated function system consisting of fini…
Bivariate functions of bounded variation: Fractal dimension and fractional integral
S. Verma, P. Viswanathan
In contrast to the univariate case, several definitions are available for the notion of bounded variation for a bivariate function. This article is an attempt to study the Hausdorf…