10 papers
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…
Quantization coefficients for uniform distributions on the boundaries of regular polygons
Joel Hansen, Itzamar Marquez, Mrinal K. Roychowdhury +1
In this paper, we give a general formula to determine the quantization coefficients for uniform distributions defined on the boundaries of different regular -sided polygons insc…
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…
Quantization for a mixture of uniform distributions associated with probability vectors
Mrinal Kanti Roychowdhury, Wasiela Salinas
The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite…
Quantization for uniform distributions on hexagonal, semicircular, and elliptical curves
Gabriela Pena, Hansapani Rodrigo, Mrinal Kanti Roychowdhury +2
In this paper, first we have defined a uniform distribution on the boundary of a regular hexagon, and then investigated the optimal sets of -means and the th quantization err…
Local dimensions and quantization dimensions in dynamical systems
Mrinal Kanti Roychowdhury, Bilel Selmi
Let be a Borel probability measure generated by a hyperbolic recurrent iterated function system defined on a nonempty compact subset of . We study the Hausdorff an…