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Insights into the dynamic trajectories of protein filament division revealed by numerical investigation into the mathematical model of pure fragmentation
(Public Library Of Science, 2021-09-03)
The dynamics by which polymeric protein filaments divide in the presence of negligible growth, for example due to the depletion of free monomeric precursors, can be described by the universal mathematical equations of 'pure ...
Age of Information in a Decentralized Network of Parallel Queues with Routing and Packets Losses
(Korean Institute of Communications and Information Sciences, 2022-02)
The paper deals with age of information (AoI) in a network of multiple sources and parallel queues with buffering capabilities, preemption in service and losses in served packets. The queues do not communicate between each ...
Dynamical versions of Hardy's uncertainty principle: A survey
(American Mathematical Society, 2021-06-03)
The Hardy uncertainty principle says that no function is better localized together with its Fourier transform than the Gaussian. The textbook proof of the result, as well as one of the original proofs by Hardy, refers to ...
Age of Information of a Server with Energy Requirements
(PeerJ, 2021-03-01)
We investigate a system with Poisson arrivals to two queues. One queue stores the status updates of the process of interest (or data packets) and the other handles the energy that is required to deliver the updates to the ...
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 ...
From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
(Elsevier, 2018-09-07)
The aim of this paper is to establish uniqueness properties of solutions of the Helmholtz and Laplace equations. In particular, we show that if two solutions of such equations on a domain of Rd agree on two intersecting d ...
Size-Based Routing Policies: Non-Asymptotic Analysis and Design of Decentralized Systems
(MDPI, 2021-04-12)
Size-based routing policies are known to perform well when the variance of the distribution of the job size is very high. We consider two size-based policies in this paper: Task Assignment with Guessing Size (TAGS) and ...
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 ...
Analysis of an optimal policy in dynamic bipartite matching models
(Elsevier, 2022-04)
[EN] A dynamic bipartite matching model is given by a bipartite matching graph which determines the possible matchings between the various types of supply and demand items. Both supply and demand items arrive to the system ...