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math.DS2012
Quantization dimension for Gibbs-like measures on cookie-cutter sets
Mrinal Kanti Roychowdhury
In this paper using Banach limit we have determined a Gibbs-like measure supported by a cookie-cutter set which is generated by a single cookie-cutter mapping . For su…
math.DS2012
Topological pressure and fractal dimensions of cookie-cutter-like sets
Mrinal Kanti Roychowdhury
The cookie-cutter-like set is defined as the limit set of a sequence of classical cookie-cutter mappings. For this cookie-cutter set it is shown that the topological pressure funct…