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Now showing items 11-20 of 122
On Deterministic and Stochastic Multiple Pathogen Epidemic Models
(MDPI, 2021-08-12)
In this paper, we consider a stochastic epidemic model with two pathogens. In order to analyze the coexistence of two pathogens, we compute numerically the expectation time until extinction (the mean persistence time), ...
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 ...
Discrete Carleman estimates and three balls inequalities
(Springer, 2021-12)
[EN]We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrodinger operators. These quantitatively connect the discrete setting in which the unique continuation property fails and ...
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 ...
Optimal performance of parallel-server systems with job size prediction errors
(Elsevier, 2021-05-12)
[EN] Modern communication networks integrate distributed computing architectures, in which customers are processed in parallel. We show how to minimize the waiting time of customer’s jobs by leveraging a simple threshold-based ...
Age of Information of Parallel Server Systems with Energy Harvesting
(MDPI, 2021-11-21)
Motivated by current communication networks in which users can choose different transmission channels to operate and also by the recent growth of renewable energy sources, we study the average Age of Information of a status ...
Load-balancing for multi-skilled servers with Bernoulli routing
(Springer, 2022)
[EN] We study the optimal Bernoulli routing in a multiclass queueing system with a dedicated server for each class as well as a common (or multi-skilled) server that can serve jobs of all classes. Jobs of each class arrive ...
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 ...