Author: Jean-Pierre Gabardo
Publisher: American Mathematical Soc.
ISBN: 0821825518
Category : Mathematics
Languages : en
Pages : 111
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Book Description
In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.
Author: Jean-Pierre Gabardo
Publisher: American Mathematical Society(RI)
ISBN: 9781470400668
Category : Fourier analysis
Languages : en
Pages : 111
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Book Description
In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.
Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
ISBN: 0821825585
Category : Mathematics
Languages : en
Pages : 105
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Book Description
This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.
Author: Ralph Howard
Publisher: American Mathematical Soc.
ISBN: 0821825690
Category : Mathematics
Languages : en
Pages : 82
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Book Description
This memoir investigates a method that generalizes the Chern-Federer kinematic formula to arbitrary homogeneous spaces with an invariant Riemannian metric, and leads to new formulas even in the case of submanifolds of Euclidean space.
Author: J. F. Jardine
Publisher: American Mathematical Soc.
ISBN: 0821825909
Category : Mathematics
Languages : en
Pages : 101
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Book Description
This work defines the higher spinor classes of an orthogonal representation of a Galois group. These classes are higher-degree analogues of the Fröhlich spinor class, which quantify the difference between the Stiefel-Whitney classes of an orthogonal representation and the Hasse-Witt classes of the associated form. Jardine establishes various basic properties, including vanishing in odd degrees and an induction formula for quadratic field extensions. The methods used include the homotopy theory of simplicial presheaves and the action of the Steenrod algebra on mod 2 étale cohomology.
Author: George Allan Hagedorn
Publisher: American Mathematical Soc.
ISBN: 0821826050
Category : Mathematics
Languages : en
Pages : 142
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Book Description
The principal results of this paper involve the extension of the time-dependent Born-Oppenheimer approximation to accommodate the propagation of nuclei through generic, minimal multiplicity electron energy level crossings. The Born-Oppenheimer approximation breaks down at electron energy level crossings, which are prevalent in molecular systems. We classify generic, minimal multiplicity level crossings and derives a normal form for the electron Hamiltonian near each type of crossing. We then extend the time-dependent Born-Oppenheimer approximation to accommodate the propagation of nuclei through each type of electron energy level crossing.
Author: Kunio Murasugi
Publisher: American Mathematical Soc.
ISBN: 0821825704
Category : Mathematics
Languages : en
Pages : 118
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Book Description
There are three chapters to the memoir. The first defines and develops the notion of the index of a graph. The next chapter presents the general application of the graph index to knot theory. The last section is devoted to particular examples, such as determining the braid index of alternating pretzel links. A second result shows that for an alternating knot with Alexander polynomial having leading coefficient less than 4 in absolute value, the braid index is determined by polynomial invariants.
Author: Oscar Zariski
Publisher: American Mathematical Soc.
ISBN: 082181205X
Category : Algebraic functions
Languages : en
Pages : 99
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Book Description
Author: David Soudry
Publisher: American Mathematical Soc.
ISBN: 0821825682
Category : Mathematics
Languages : en
Pages : 113
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Book Description
On t.p. "o2olo+o1" and "on" are subscript.
Author: F. Thomas Farrell
Publisher: American Mathematical Soc.
ISBN: 0821825534
Category : Mathematics
Languages : en
Pages : 151
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Book Description
The authors' argument is a spiritual descendent of earlier work of Adler and Weiss, Sinaĭ, and Bowen, and involves a close study of triangulations. The discussion is long and technical, but the outline of the proof is sketched clearly in Section 1 for the special case of [italic]F an expanding immersion. A concluding section lists problems on hyperbolic sets, Markov partitions, and related matters; remarks on topological invariants, including the conjectured vanishing of Pontryagin classes for manifolds supporting Anosov diffeomorphisms, may be of particular interest.
