25 citations · 28 across the 10 of their papers we have counts for
11 papers
Quantization dimensions for inhomogeneous bi-Lipschitz Iterated Function Systems
Amit Priyadarshi, Mrinal K. Roychowdhury, Manuj Verma
Let be a Borel probability measure on a -dimensional Euclidean space , , with a compact support, and let be a probabili…
Fractal dimensions of fractal transformations and Quantization dimensions for bi-Lipschitz mappings
Manuj Verma, Amit Priyadarshi, Saurabh Verma
In this paper, we study the fractal dimension of the graph of a fractal transformation and also determine the quantization dimension of a probability measure supported on the graph…
Quantization dimensions for the bi-Lipschitz recurrent Iterated function systems
Amit Priyadarshi, Mrinal K. Roychowdhury, Manuj Verma
In this paper, the quantization dimensions of the Borel probability measures supported on the limit sets of the bi-Lipschitz recurrent iterated function systems under the strong op…
Vector-valued fractal functions: Fractal dimension and Fractional calculus
Manuj Verma, Amit Priyadarshi, Saurabh Verma
There are many research available on the study of real-valued fractal interpolation function and fractal dimension of its graph. In this paper, our main focus is to study the dimen…
Fractal dimension for a class of complex-valued fractal interpolation functions
Manuj Verma, Amit Priyadarshi, Saurabh Verma
There are many research papers dealing with fractal dimension of real-valued fractal functions in the recent literature. The main focus of the present paper is to study fractal dim…
WawPart: Workload-Aware Partitioning of Knowledge Graphs
Amitabh Priyadarshi, Krzysztof J. Kochut
Large-scale datasets in the form of knowledge graphs are often used in numerous domains, today. A knowledge graphs size often exceeds the capacity of a single computer system, espe…
AWAPart: Adaptive Workload-Aware Partitioning of Knowledge Graphs
Amitabh Priyadarshi, Krzysztof J. Kochut
Large-scale knowledge graphs are increasingly common in many domains. Their large sizes often exceed the limits of systems storing the graphs in a centralized data store, especiall…
Graphs of continuous functions and fractal dimension
Manuj Verma, Amit Priyadarshi
In this paper, we show that, for any , a given strictly positive real-valued continuous function on whose graph has upper box-counting dimension less than or eq…
On the box dimension of graph of harmonic functions on the Sierpiński gasket
Abhilash Sahu, Amit Priyadarshi
In this paper, we have obtained bounds for the box dimension of graph of harmonic function on the Sierpiński gasket. Also we get upper and lower bounds for the box dimension of gra…
Existence of multiple solutions of a p-Laplacian equation on the Sierpinski Gasket
Abhilash Sahu, Amit Priyadarshi
In this paper we study the following boundary value problem involving the weak p-Laplacian. \begin{equation*} \quad -M(\|u\|_{\mathcal{E}_p}^p)Δ_p u = h(x,u) \; \text{in}\; \mathca…
A System of p-Laplacian Equations on the Sierpinski Gasket
Abhilash Sahu, Amit Priyadarshi
In this paper we study a system of boundary value problems involving weak p-Laplacian on the Sierpiński gasket in . Parameters are real and …