4 papers
On the escape rate for intermittent maps with holes shrinking around the indifferent fixed point
Claudio Bonanno, Sharvari Neetin Tikekar
We study non-uniformly expanding maps of the unit interval with a parabolic fixed point at the origin that admit an ergodic absolutely continuous invariant measure, which may be fi…
Weak Formulation of the Laplacian on the Full Shift Space
Shrihari Sridharan, Sharvari Neetin Tikekar
We consider a Laplacian on the one-sided full shift space over a finite symbol set, which is constructed as a renormalized limit of finite difference operators. We propose a weak d…
Dirichlet eigenvalues of the Laplacian on full one-sided shift space
Shrihari Sridharan, Sharvari Neetin Tikekar
The full one sided shift space over finite symbols is approximated by an increasing sequence of finite subsets of the space. The Laplacian on the space is then defined as a renorma…
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…