3 papers
math.DS2019
Lyapunov exponents of polynomials with respect to certain weighted Lyubich's measures
Shrihari Sridharan, Atma Ram Tiwari
In this paper, we consider a monic, centred, hyperbolic polynomial of degree , restricted on its Julia set and compute its Lyapunov exponents with respect to certain weigh…
math.DS2019
Distribution of typical orbits for a skew-product map generated by random dynamics of finitely many rational maps
Shrihari Sridharan, Sharvari Neetin Tikekar, Atma Ram Tiwari
In this paper, we consider the dynamics of a skew-product map defined on the Cartesian product of the symbolic one-sided shift space on symbols and the complex sphere where we…
math.DS2019
The dependence of Lyapunov exponents of polynomials on its coefficients
Shrihari Sridharan, Atma Ram Tiwari
In this paper, we consider the family of hyperbolic quadratic polynomials parametrised by a complex constant; namely with and the family of hyperbo…