Malabika Pramanik

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math.CA2024

Measures supported on partly normal numbers

Malabika Pramanik, Junqiang Zhang

A real number $x$ is normal with respect to an integer base $b \geq 2$ if its digit expansion in this base is ``equitable'', in the sense that for $k \geq 1$ , every ordered sequenc…

math.CA2024

On odd-normal numbers

Malabika Pramanik, Junqiang Zhang

A real number $x$ is considered normal in an integer base $b \geq 2$ if its digit expansion in this base is ``equitable'', ensuring that for each $k \geq 1$ , every ordered sequence…

math.CA2023

Distances in sparse sets of large Hausdorff dimension

Malabika Pramanik, K S Senthil Raani

The distance set $Δ (E)$ of a set $E$ consists of all non-negative numbers that represent distances between pairs of points in $E$ . This paper studies sparse (less than full-dimensi…