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An algorithm based on 3-braids to solve tangle equations arising in the action of Gin DNA invertase
(2010-03)
"The tangle model of Ernst and Sumners is an effective tool in the topological analysis of enzymes, a particular application of which aims at deducing the mechanism of action of site-specific recombination mediated by the ...
Control of mechanical systems on Lie groups based on vertically transverse functions
(2008-06)
"The transverse function approach to control provides a unified setting to deal with practical stabilization and tracking of arbitrary trajectories for controllable driftless systems. Controllers derived from that approach ...
Braid solutions to the action of the Gin enzyme
(2010-08)
"The topological analysis of enzymes, an active research topic, has allowed the application of the tangle model of Ernst and Sumners to deduce the action mechanism of several enzymes, modeled as 2-string tangles. By first ...
On the transversality of functions at the core of the transverse function approach to control
(2011-12)
"The transverse function approach to control, introduced by Morin and Samson in the early 2000s, is based on functions that are transverse to a set of vector fields in a sense formally similar to, although strictly speaking ...
Computing the Conway polynomial of several closures of oriented 3-braids
(2012-03)
"This paper deals with polynomial invariants of a class of oriented 3-string tangles and the knots (or links) obtained by applying six different closures. In Cabrera-Ibarra (2004) [1], expressions were given to compute the ...
Systems of 3-braid equations
(2014)
"The tangle model is a useful topological tool in the study of the mechanism of action of certain enzymes on DNA molecules. In particular, the model proves helpful to determine the topological structure of the DNA molecules ...
Conditions to Flatten the Curvature Tensor Associated with a Symmetric Affine Connection
(Hindawi, 2022)
"In this study, we present a problem that consists in flattening the curvature associated with an affine connection on R2 . This problem involves distributions and symmetric affine connections defined on a differential ...