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4 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…
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…