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math.DS2012
Invariance And Inner Fractals In Polynomial And Transcendental Fractals
Nabarun Mondal, Partha P. Ghosh
A lot of formal and informal recreational study took place in the fields of Meromorphic Maps, since Mandelbrot popularized the map z <- z^2 + c. An immediate generalization of the…
nlin.CD2012
A General Class of Collatz Sequence and Ruin Problem
Nabarun Mondal, Partha P. Ghosh
In this paper we show the probabilistic convergence of the original Collatz (3n + 1) (or Hotpo) sequence to unity. A generalized form of the Collatz sequence (GCS) is proposed subs…
cs.DM2012
A Pseudo Random Number Generator from Chaos
Nabarun Mondal, Partha P. Ghosh
A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of x= cot2(x). Digital computer simulation of this function iteration exh…