The degree of the inverse of a polynomial automorphism.
Synthesis of stochastic optimal control for a convex optimization problem in Hilbert spaces
Si studia il problema della sintesi per un problema di controllo stocastico con equazione di stato lineare e funzione costo convessa.
Synthesis of stochastic optimal control for a convex optimization problem in Hilbert spaces
Si studia il problema della sintesi per un problema di controllo stocastico con equazione di stato lineare e funzione costo convessa.
Search for homogeneous polynomial invariants and a cubic-homogeneous mapping without quadratic invariants.
Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse
Injectivity onto a star-shaped set for local homeomorphisms in n-space
We provide a number of either necessary and sufficient or only sufficient conditions on a local homeomorphism defined on an open, connected subset of the n-space to be actually a homeomorphism onto a star-shaped set. The unifying idea is the existence of "auxiliary" scalar functions that enjoy special behaviours along the paths that result from lifting the half-lines that radiate from a point in the codomain space. In our main result this special behaviour is monotonicity, and the auxiliary function...
On the span invariant for cubic similarity
Given a real n×n matrix A, we make some conjectures and prove partial results about the range of the function that maps the n-tuple x into the entrywise kth power of the n-tuple Ax. This is of interest in the study of the Jacobian Conjecture.
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