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pro vyhledávání: '"P Pare"'
We consider a susceptible-infected-susceptible (SIS) epidemic model in which a large group of individuals decide whether to adopt partially effective protection without being aware of their individual infection status. Each individual receives a sign
Externí odkaz:
http://arxiv.org/abs/2410.20303
Autor:
Paré, Dylan M., Chuss, David T., Karpovich, Kaitlyn, Butterfield, Natalie O., Iulliano, Jeffrey Inara, Pan, Xing, Wollack, Edward J., Zhang, Qizhou, Morris, Mark R., Nilsson, Matthilda, Zhao, Roy J.
The nature of the magnetic field structure throughout the Galactic Center (GC) has long been of interest. The recent Far-InfraREd Polarimetric Large-Area CMZ Exploration (FIREPLACE) Survey reveals preliminary connections between the seemingly distinc
Externí odkaz:
http://arxiv.org/abs/2410.10597
Autor:
Butler, Brooks A., Paré, Philip E.
This letter explores the implementation of a safe control law for systems of dynamically coupled cooperating agents. Under a CBF-based collaborative safety framework, we examine how the maximum safety capability for a given agent, which is computed u
Externí odkaz:
http://arxiv.org/abs/2410.16280
In this paper, we develop a framework for the automatic taxiing of aircraft between hangar and take-off given a graph-based model of an airport. We implement a high-level path-planning algorithm that models taxiway intersections as nodes in an undire
Externí odkaz:
http://arxiv.org/abs/2410.03890
This work explores a collaborative method for ensuring safety in multi-agent formation control problems. We formulate a control barrier function (CBF) based safety filter control law for a generic distributed formation controller and extend our previ
Externí odkaz:
http://arxiv.org/abs/2410.03885
Autor:
Paré, Robert
Partial difference operators for a large class of functors between presheaf categories are introduced, extending our difference operator from \cite{Par24} to the multivariable case. These combine into the Jacobian profunctor which provides the settin
Externí odkaz:
http://arxiv.org/abs/2409.09494
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network
In this paper, we propose an SIR spread model in a population network coupled with an infrastructure network that has a pathogen spreading in it. We develop a threshold condition to characterize the monotonicity and peak time of a weighted average of
Externí odkaz:
http://arxiv.org/abs/2409.08430
A population of structures unique to the Galactic Center (GC), known as the non-thermal filaments (NTFs), has been studied for over 40 years, but much remains unknown about them. In particular, there is no widely-accepted and unified understanding fo
Externí odkaz:
http://arxiv.org/abs/2408.16745
We study the impact of parameter estimation and state measurement errors on a control framework for optimally mitigating the spread of epidemics. We capture the epidemic spreading process using a susceptible-infected-removed (SIR) epidemic model and
Externí odkaz:
http://arxiv.org/abs/2408.03447
Autor:
Paré, Robert
We establish a calculus of differences for taut endofunctors of the category of sets, analogous to the classical calculus of finite differences for real valued functions. We study how the difference operator interacts with limits and colimits as cate
Externí odkaz:
http://arxiv.org/abs/2407.21129