### Recent Submissions

• #### Stability index of linear random dynamical systems ﻿

(2021)
Article
Open Access
Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution ...
• #### The Kummerian property and maximal pro-p-Galois groups ﻿

(American Mathematical Society (AMS), 2020-01)
Article
Open Access
Review of "The Kummerian property and maximal pro-p-Galois groups", Journal of Algebra 525 (2019), 284-310 (https://www.sciencedirect.com/science/article/abs/pii/S0021869319300493)
• #### Computing subfields of number fields and applications to Galois group computations ﻿

(American Mathematical Society (AMS), 2020-01)
Article
Open Access
Review of "Computing subfields of number fields and applications to Galois group computations", Jounal of Symbolic Computations, 93 (2019) 1-20 (https://www.sciencedirect.com/science/article/abs/pii/S0747717118300439)
• #### Quintessential inflation for exponential type potentials: scaling and tracker behavior ﻿

(springer-Verlag, 2021-02)
Article
Open Access
We will show that for exponential type potentials of the form V(f)~e-¿fn/Mnpl, which are used to depict quintessential inflation, the solutions whose initial conditions take place during the slow roll phase in order to ...
• #### Multiquadratic fields generated by characters of A_n ﻿

(American Mathematical Society (AMS), 2020-02)
Article
Open Access
Review of "Multiquadratic fields generated by characters of A_n" of M. Dawsey, K. Ono, I. Wagner, Journal of Algebra 533 (2019) 339-343. [Retrieved: 21 April 2021]. Available to:https://www.sciencedirect.com/science/arti ...
• #### Lübeck's classification of representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups ﻿

(American Mathematical Society (AMS), 2020-07)
Article
Open Access
Review of "Lübeck's classification of representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups", Jounal of Number Theory, 206 (2020) 182-193. [Retrieved: 21 April 2021]. ...

(2020-03-31)
Article
Open Access
• #### A picture of solar-sail heteroclinic enhanced connections between Lissajous libration point orbits ﻿

(2020-03-09)
Article
Restricted access - publisher's policy
The dynamics of solar-sail maneuvers are conceptually different from classical control maneuvers where one considers impulsive changes in the velocity of a spacecraft. Solar-sail orbits are continuous in both position and ...
• #### Rotation–translation coupling analysis on perturbed spacecraft relative translational motion ﻿

(2020-10-17)
Article
Restricted access - publisher's policy
This paper explores an accurate and complete spacecraft six-degree-of-freedom coupled relative motion model using the dual quaternion representation. Based on this technique, we build a scheme capable of describing both ...
• #### Algebraic statistics in practice: applications to networks ﻿

(2020-01-01)
Article
Open Access
Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and combinatorics to provide insight into knotty problems in mathematical ...
• #### A contact geometry framework for field theories with dissipation ﻿

(2020-03-01)
Article
Open Access
We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of k-contact structure and k-contact Hamiltonian system. This is a generalization ...
• #### Galois action on $\bar{\mathbb Q}$-isogeny classes of abelian $L$-surfaces with quaternionic multiplication ﻿

(2017-12-08)
Article
Open Access
We construct a projective Galois representation attached to an abelian L-surface with quaternionic multiplication, describing the Galois action on its Tate module. We prove that such representation characterizes the Galois ...