18 citations · 18 across the 9 of their papers we have counts for
9 papers
Finiteness of Cannon--Thurston fibers
Indranil Bhattacharyya, Rakesh Halder, Nir Lazarovich +1
Let be a proper map between proper hyperbolic metric spaces. A Cannon--Thurston map is a continuous extension . We prove that in most known sett…
Embeddings of trees of hyperbolic metric spaces and Cannon--Thurston maps
Rakesh Halder, Pranab Sardar
Given a tree of hyperbolic metric spaces a la Bestvina--Feighn (\cite{BF}), and a hyperbolic subspace of with an induced tree of hyperbolic spaces structure over…
Reduced-order modeling of large-scale turbulence using Koopman -variational autoencoders
Rakesh Halder, Benet Eiximeno, Oriol Lehmkuhl
Reduced-order models (ROMs) are very popular for surrogate modeling of full-order computational fluid dynamics (CFD) simulations, allowing for real-time approximation of complex fl…
Surjectivity of the Cannon--Thurston map in metric (graph) bundles
Rakesh Halder
Metric (graph) bundles generalize the notion of fiber bundles to the context of geometric group theory and were introduced by Mj and Sardar. Suppose is a metric (graph) bundle…
On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups
Rakesh Halder, Pranab Sardar
In this short note, we prove the existence of weakly malnormal, virtually free, quasiconvex subgroups in any nonelementary hyperbolic group. This extends a result of Ilya Kapovich,…
Landing rays and ray Cannon-Thurston maps
Rakesh Halder, Mahan Mj, Pranab Sardar
In this paper, we describe a procedure to construct pairs of hyperbolic groups with the following properties. 1) Every geodesic ray in converges to a point $ξ_γ\in \p…
Reduced-order modeling of unsteady fluid flow using neural network ensembles
Rakesh Halder, Mohammadmehdi Ataei, Hesam Salehipour +2
The use of deep learning has become increasingly popular in reduced-order models (ROMs) to obtain low-dimensional representations of full-order models. Convolutional autoencoders (…
A Combination Theorem for Trees of Metric Bundles
Rakesh Halder
Motivated by the work of Bestvina-Feighn ([BF92]) and Mj-Sardar ([MS12]), we define trees of metric bundles subsuming both the trees of metric spaces and the metric bundles. Then w…
Non-intrusive reduced-order modeling using convolutional autoencoders
Rakesh Halder, Krzysztof Fidkowski, Kevin Maki
The use of reduced-order models (ROMs) in physics-based modeling and simulation almost always involves the use of linear reduced basis (RB) methods such as the proper orthogonal de…