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Non-Hermitian Hamiltonians with unitary and antiunitary symmetries
(Academic Press Inc Elsevier Science, 2014-03)
We analyse several non-Hermitian Hamiltonians with antiunitary symmetry from the point of view of their point-group symmetry. It enables us to predict the degeneracy of the energy levels and to reduce the dimension of the ...
Testing for symmetry and conditional symmetry using asymmetric kernels
(Springer Heidelberg, 2015-08)
We derive nonparametric tests of symmetry using asymmetric kernels with either vanishing or fixed bandwidths. The idea is to split the sample around the symmetry point and then test whether the distributions to the right ...
Geometric Singular Perturbation Theory for Systems with Symmetry
(2020-01-01)
In this paper we focus on a class of symmetric vector fields in the context of singularly perturbed fast-slow dynamical systems. Our main question is to know how symmetry properties of a dynamical system are affected by ...
Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
(Gauthier-Villars/ElsevierParis, 2015-12)
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights −Δu = '|X| POT. β' '|V| POT. Q-1' v, −Δv = '|X|POT. α' '|U| POT. P−1' u in Ω, u= v = 0 on ∂Ω, ...
Symmetry and symmetry breaking for minimizers in the trace inequality
(World Scientific, 2011-11)
We consider symmetry properties of minimizers in the variational characterization of the best constant in the trace inequality C∥u∥^p_L^q(∂B_ρ) ≤∥u∥^p_W1,p(Bρ) in the ball Bρ of radius ρ. When p is fixed minimizers in this ...
Chiral symmetry restoration and pion properties in a q-deformed NJL model
(Sociedade Brasileira de Física, 2006)
Static and dynamic properties of [hkl] low-symmetry trilayers
(Wiley, 2016-01-28)
Admissible reversing and extended symmetries for bijective substitutions
(Springer, 2023)
In this paper, we deal with reversing and extended symmetries of subshifts generated by bijective substitutions. We survey some general algebraic and dynamical properties of these subshifts and recall known results regarding ...