34 citations · 46 across the 9 of their papers we have counts for
9 papers
Contracting Boundary of a Cusped Space
Abhijit Pal, Rahul Pandey
Let be a finitely generated group. Cashen and Mackay proved that if the contracting boundary of with the topology of fellow travelling quasi-geodesics is compact then i…
Strongly Contracting Geodesics in a Tree of Spaces
Abhijit Pal, Suman Paul
Let X be a tree of proper geodesic spaces with edge spaces strongly contracting and uniformly separated from each other by a number depending on the contraction function of edge sp…
Acylindrical Hyperbolicity of Subgroups
Abhijit Pal, Rahul Pandey
Suppose is a finitely generated group and is a subgroup of . Let denote the contracting boundary of with the topology of fel…
Complex of Relatively Hyperbolic Groups
Abhijit Pal, Suman Paul
In this article, we prove a combination theorem for a complex of relatively hyperbolic groups. It is a generalization of Martin's \cite{martin} work for combination of hyperbolic g…
Height in Splitting of Relatively Hyperbolic Groups
Abhijit Pal
Given a finite graph of relatively hyperbolic groups with its fundamental group relatively hyperbolic and edge groups quasi-isometrically embedded and relatively quasiconvex in ver…
Notes on Stable Teichmuller quasigeodesics
Abhijit Pal
In this note, we prove that for a cobounded,Lipschitz path $γ:I\to\TT$, if the pull back bundle over is a strongly relatively hyperbolic metric space then there…
Relative Hyperbolic Extensions of Groups and Cannon-Thurston Maps
Abhijit Pal
Let be a short exact sequence of pairs of finitely generated groups with strongly hyperbolic relative to proper subgroup . As…
Relative Hyperbolicity, Trees of Spaces and Cannon-Thurston Maps
Mahan Mj, Abhijit Pal
We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of a vertex space into a tree of (strongly) relatively hyperbolic spaces satisfyin…
Study Of A Planar Lattice Model With Interaction
Kisor Mukhopadhyay, Abhijit Pal, Soumen Kumar Roy
A planar square lattice model with 3-d spins interacting with nearest neighbours through a potential - is studied by Monte Carlo technique. Lattice sizes from 10…