Work

Spectral gap bounds on H-type groups

Year: 2023

Type: preprint

Abstract: In this note we provide bounds on the spectral gap for the Dirichlet sub-Laplacians on $H$-type groups. We use probabilistic techniques and in particular small deviations of the corresponding hypoelliptic Brownian motion.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2305.01126

Authors: Carfagnini, Marco, Gordina, Maria

Institutions: University of California San Diego, University of Connecticut

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Asymptotics and ergodicity of hypoelliptic random processes, Probabilistic Methods in Analysis, Geometry, and Beyond

OpenAlex ID: W4367860100

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