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An Uncertainty Principle for Solutions of the Schrödinger Equation on H-Type Groups
(Cambridge University Press, 2020-04-02)
In this paper we consider uncertainty principles for solutions of certain partial differential equations on H -type groups. We first prove that, on H -type groups, the heat kernel is an average of Gaussians in the central ...
Hardy's uncertainty principle and unique continuation property for stochastic heat equations
(EDP Sciences, 2020-02-14)
The goal of this paper is to prove a qualitative unique continuation property at two points in time for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy’s ...
A Fair and Scalable Mechanism for Resource Allocation: The Multilevel QPQ Approach
(IEEE, 2020-12-29)
In this paper the problem of distributing resources among a collection of users (or players) is explored. These players have independent preferences to get these resources and can be dishonest about their preferences in ...
Bearing Assessment Tool for Longitudinal Bridge Performance
(Springer, 2020-11)
This work provides an unsupervised learning approach based on a single-valued performance indicator to monitor the global behavior of critical components in a viaduct, such as bearings. We propose an outlier detection ...