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Invariant manifolds play an important role in the study of the qualitative dynamical behaviors for nonlinear stochastic partial differential equations. However, the geometric shape of these manifolds...
Let G denote either a special orthogonal group or a symplectic group defined over the complex numbers. We prove the following saturation result for G: given dominant weights λ1, . . . , λr such that...
Using adjoint representation of Lie algebras, we calculate the automorphism group and ad-invariant metric on six dimensional solvable real Lie algebras with 5, 4 and 3 dimensional nilradicals.
In this paper it is shown that in case of trace class perturbations the singular part of Pushnitski μ -invariant does not depend on the angle variable. This gives an alternative proof of integer-value...
This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynami...
We propose a computation of real motivic zeta functions for real polynomial functions, using Newton polyhedron. As a consequence we show that the weights are blow-Nash invariants of convenient weighte...
The aim of this paper is to introduce and study quadratic Hom-Lie algebras, which are Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms. We provide several onstructions leading t...
We study 2-player impartial games, so called invariant subtraction games, of the type, given a set of allowed moves the players take turn in moving one single piece on a large Chess board towards the ...
A poset has the non-messing-up property if it has two covering sets of disjoint saturated chains so that for any labeling of the poset, sorting the labels along one set of chains and then sorting the ...
We consider the Yamabe invariant of a compact orbifold with finitely many singular points. We prove a fundamental inequality for the estimate of the invariant from above, which also includes a criteri...
We construct a complete locally convex topological vector space X of countable algebraic dimension and a continuous linear operator T : X → X such that T has no non-trivial closed invariant subspaces.
We exhibit an encoding of knots into processes in the -calculus such that knots are ambient isotopic if and only their encodings are weakly bisimilar.
We study in detail the structure of phase space in the neighborhood of stable periodic orbits in a rotating 3D potential of galactic type.We have used the color and rotation method to investigate the ...
We derive a formula for the ¯μ–invariant of a Seifert fibered homology sphere in terms of the –invariant of its Dirac operator. As a consequence, we obtain a vanishing result for the index of ce...
Classical generalization of general relativity is considered as gravitational alternative for unified description of the early-time inflation with late-time cosmic acceleration. The structur and cosmo...

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