Sourav Bhattacharya

collaborators

Showing math.DSShow all

4 papers · 1 filter

math.DS2025

Triod twist cycles and circle rotations

Sourav Bhattacharya, Ashish Yadav

We study the problem of relating cycles on a \emph{triod} $Y$ to \emph{circle rotations}. We prove that the simplest cycles on a \emph{triod}~ $Y$ with a given \emph{rotation number…

math.DS2025

Forcing among exact patterns of triods

Sourav Bhattacharya

We obtain a complete characterization of \emph{topologically exact patterns} on \emph{triods}. Based on their \emph{rotation number} $I ¨ $ , these \emph{exact patterns} are grouped i…

math.DS2024

Twist like behavior in non-twist patterns of triods

Sourav Bhattacharya, Ashish Yadav

We prove a sufficient condition for a \emph{pattern} $I ¨ $ on a \emph{triod} $T$ to have \emph{rotation number} $I ¨ _{I ¨} $ coincide with an end-point of its \emph{forced rotation inter…

math.DS2024

Forcing Minimal Interval Patterns as Interval Exchange Transformations

Sourav Bhattacharya

We prove that any over-twist pattern is conjugate to an interval exchange transformation with bounded number of segments of isometry, restricted on one of its cycles. The bound is…