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04/03/2023
Algebraic and Geometric Models for Space Networking
In this paper we introduce some new algebraic and geometric perspectives...
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01/27/2023
Hydrodynamic and symbolic models of hypercomputation
Dynamical systems and physical models defined on idealized continuous ph...
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12/22/2021
The Universal ℓ^p-Metric on Merge Trees
Adapting a definition given by Bjerkevik and Lesnick for multiparameter ...
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11/05/2021
Computability and Beltrami fields in Euclidean space
In this article, we pursue our investigation of the connections between ...
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07/20/2021
Looking at Euler flows through a contact mirror: Universality and undecidability
The dynamics of an inviscid and incompressible fluid flow on a Riemannia...
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04/09/2021
Turing universality of the incompressible Euler equations and a conjecture of Moore
In this article we construct a compact Riemannian manifold of high dimen...
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12/23/2020
Constructing Turing complete Euler flows in dimension 3
Can every physical system simulate any Turing machine? This is a classic...
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12/10/2020