Diyath Pannipitiya

collaborators

3 papers

math-ph2025

A dynamical approach to studying the Lee-Yang zeros for the Potts Model on the Cayley Tree

Diyath Pannipitiya, Roland Roeder

Let $Z_{n} (z, t)$ denote the partition function of the $q$ -state Potts Model on the rooted binary Cayley tree of depth~ $n$ . Here, $z = e^{- h / T}$ and $t = e^{- J / T}$ with $h…

math.DS2024

To Symbolic Dynamics Through The Thue-Morse Sequence

Diyath Pannipitiya

The celebrated Thue-Morse sequence, or the Prouhet-Thue-Morse sequence (A010060 in the OEIS), has a number of interesting properties and is a rich source to many (counter)examples.…

math.DS2024

A note on the hyperbolicity of the non-wandering sets of real quadratic maps

Diyath Pannipitiya

The goal of this paper is to discuss about the hyperbolicity of the non-wandering set $NW (f_{c})$ of real quadratic function $f_{c} (x) = x^{2} + c$ when $c \in (- \infty, - 2]$ . Even…