18 citations · 20 across the 10 of their papers we have counts for
10 papers
Recovering Riemannian Geometry from Diffusion
Amandip Sangha
We present an intrinsic reconstruction of Riemannian geometry from a symmetric, strongly local diffusion semigroup. Starting from a diffusion operator and its associated first- and…
Entropy-Smooth Structures on Topological Manifolds
Amandip Sangha
We introduce an information-theoretic framework for smooth structures on topological manifolds, replacing coordinate charts with small-scale entropy data of local probability probe…
Spectral Fusion Deformations for Locally Compact Quantum Groups
Amandip Sangha
We develop a deformation framework for -algebras equipped with a coaction of a locally compact quantum group, formulated intrinsically at the level of spectral subspaces deter…
An Information-Theoretic Reconstruction of Curvature
Amandip Sangha
We develop an intrinsic information-theoretic approach for recovering Riemannian curvature from the small-time behaviour of heat diffusion. Given a point and a two-plane in the tan…
An Information-Theoretic Route to Isoperimetric Inequalities via Heat Flow and Entropy Dissipation
Amandip Sangha
We develop an information-theoretic approach to isoperimetric inequalities based on entropy dissipation under heat flow. By viewing diffusion as a noisy information channel, we mea…
Jet Functors and Weil Algebras in Automatic Differentiation: A Geometric Analysis
Amandip Sangha
We present a differential-geometric formulation of automatic differentiation (AD) based on jet functors and Weil algebras. In this framework, forward- and reverse-mode differentiat…
Spectral-Geometric Deformations of Function Algebras on Manifolds
Amandip Sangha
We introduce an intrinsic deformation of the algebra of smooth functions on a compact Riemannian manifold using only the Laplace spectral decomposition. The construction twists the…
Energy Estimation for Virtual Servers Using Resource Utilization and Machine Learning
Amandip Sangha
Estimating the energy use of virtual servers is difficult because physical power interfaces and privileged host counters are typically accessible only on the underlying physical ho…
Deformation of operator algebras by Borel cocycles
Jyotishman Bhowmick, Sergey Neshveyev, Amandip Sangha
Assume that we are given a coaction δof a locally compact group G on a C*-algebra A and a T-valued Borel 2-cocycle ωon G. Motivated by the approach of Kasprzak to Rieffel's deforma…
KK-fibrations arising from Rieffel deformations
Amandip Sangha
The bundle map $π_{h}: Γ((A_{tJ})_{t\in [0,1]})\lra A_{hJ}$, for every , of the continuous field associated to the Rieffel deformation o…