Results 21 to 30 of about 51,079 (125)
Some advances in analytic hypoellipticity
Bruno Pini Mathematical Analysis SeminarWe present a brief survey on the theory of the real analytic regularity for the solutions to sums of squares of vector fields satisfying the Hörmander condition.
Marco Mughetti
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On Li–Yau gradient estimate for sum of squares of vector fields up to higher step [PDF]
Communications in Analysis and Geometry, 2020 In this paper, we generalize the Cao-Yau's gradient estimate for the sum of squares of vector fields up to higher step under assumption of the generalized curvature-dimension inequality. With its applications, by deriving a curvature-dimension inequality, we are able to obtain the Li-Yau gradient estimate for the CR heat equation in a closed ...
Der-Chen Chang +2 more
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Nonnegative polynomials and their Carath\'eodory number
, 2014 In 1888 Hilbert showed that every nonnegative homogeneous polynomial with real coefficients of degree $2d$ in $n$ variables is a sum of squares if and only if $d=1$ (quadratic forms), $n=2$ (binary forms) or $(n,d)=(3,2)$ (ternary quartics).
Naldi, Simone
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Abstract algebra, projective geometry and time encoding of quantum information
, 2005 Algebraic geometrical concepts are playing an increasing role in quantum applications such as coding, cryptography, tomography and computing. We point out here the prominent role played by Galois fields viewed as cyclotomic extensions of the integers ...
Planat, Michel R. P., Saniga, Metod
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New Dependencies of Hierarchies in Polynomial Optimization
, 2019 We compare four key hierarchies for solving Constrained Polynomial Optimization Problems (CPOP): Sum of Squares (SOS), Sum of Diagonally Dominant Polynomials (SDSOS), Sum of Nonnegative Circuits (SONC), and the Sherali Adams (SA) hierarchies.
Ahmadi A. A. +17 more
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Gevrey hypoellipticity for sums of squares of vector fields in $ \R^2 $ with quasi-homogeneous polynomial vanishing [PDF]
Indiana University Mathematics Journal, 2015 Analytic and Gevrey hypo-ellipticity are studied for operators of the form in R2. We assume that the vector fields Dx and pj(x,y)Dy satisfy Hormander's condition, that is, that they as well as their Poisson brackets generate a two-dimensional vector space. It is also assumed that the polynomials pj are quasi-homogeneous of degreemj, that is, that pj(λx,
BOVE, ANTONIO, Tartakoff, David S.
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Infinite dimensional moment problem: open questions and applications
, 2017 Infinite dimensional moment problems have a long history in diverse applied areas dealing with the analysis of complex systems but progress is hindered by the lack of a general understanding of the mathematical structure behind them.
Infusino, Maria, Kuhlmann, Salma
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Hölder-continuity of the solutions for operators which are a sum of squares of vector fields plus a potential [PDF]
Proceedings of the American Mathematical Society, 1994 In this paper we study the local Hölder-regularity of weak solutions to L u + V u = 0 \mathcal {L}u + Vu = 0 where L \mathcal {L} is a Hörmander hypoelliptic operator and the potential V belongs to a new class of functions which is the ...
DI FAZIO, Giuseppe, G. CITTI
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Sums of hermitian squares and the BMV conjecture
, 2008 Recently Lieb and Seiringer showed that the Bessis-Moussa-Villani conjecture from quantum physics can be restated in the following purely algebraic way: The sum of all words in two positive semidefinite matrices where the number of each of the two ...
C.J. Hillar +16 more
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A remark on Kohn's theorem on sums of squares of complex vector fields
Advances in Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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