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21.
Volume of a small Extrinsic Ball in a Submanifold 总被引:1,自引:0,他引:1
For a submanifold Mp R, we determine a two-term asymptoticformula for vol (Mp B(x)) for x Mp as 0. The second termis a quadratic curvature invariant of the second fundamentalform of the imbedding. Imbedded spheres are characterized amongcompact hypersurfaces by this term. 相似文献
22.
Ross G. Pinsky 《Random Structures and Algorithms》2015,46(2):362-390
Consider a permutation σ ∈ Sn as a deck of cards numbered from 1 to n and laid out in a row, where σj denotes the number of the card that is in the j‐th position from the left. We study some probabilistic and combinatorial aspects of the shuffle on Sn defined by removing and then randomly reinserting each of the n cards once, with the removal and reinsertion being performed according to the original left to right order of the cards. The novelty here in this nonstandard shuffle is that every card is removed and reinserted exactly once. The bias that remains turns out to be quite strong and possesses some surprising features. © 2013 Wiley Periodicals, Inc. Random Struct. Alg., 46, 362–390, 2015 相似文献
23.
Ross G. Pinsky 《Proceedings of the American Mathematical Society》1999,127(11):3319-3327
We consider the inhomogeneous equation
where , and , and give criteria on , and which determine whether for all and all the solution blows up in finite time or whether for and sufficiently small, the solution exists for all time.
24.
The spectral gaps and thus the exponential rates of convergenceto equilibrium are compared for ergodic one-dimensional diffusionson an interval. One of the results may be thought of as thediffusion analogue of a recent result for the spectral gap ofone-dimensional Schrödinger operators. The similaritiesand differences between spectral gap results for diffusionsand for Schrödinger operators are also discussed. 相似文献
25.
The effect of instanton-anti-instanton interactions on current correlation functions in massless QCD
William F. Palmer Stephen S. Pinsky 《Zeitschrift fur Physik C Particles and Fields》1980,3(3):209-222
The leading order effects, away from the Dilute Gas Approximation, of instanton-antiinstanton interactions are studied in massless QCD. Propagation and current correlation functions are computed in the interacting dilute gas. While no mass is generated, power law corrections are achieved for the correlation function entering intoe + e ? annihilation. 相似文献
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28.
Ross Pinsky 《Journal of Differential Equations》2009,246(6):2561-2576
Consider the equation
(0.1) 相似文献
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30.
Pinsky M Casanova D Alemany P Alvarez S Avnir D Dryzun C Kizner Z Sterkin A 《Journal of computational chemistry》2008,29(2):190-197
We introduce a new mathematical tool for quantifying the symmetry contents of molecular structures: the Symmetry Operation Measures. In this approach, we measure the minimal distance between a given structure and the structure which is obtained after applying a selected symmetry operation on it. If the given operation is a true symmetry operation for the structure, this distance is zero; otherwise it gives an indication of how different the transformed structure is from the original one. Specifically, we provide analytical solutions for measures of all the improper rotations, S n p, including mirror symmetry and inversion, as well as for all pure rotations, C n p. These measures provide information complementary to the Continuous Symmetry Measures (CSM) that evaluate the distance between a given structure and the nearest structure which belongs to a selected symmetry point-group. 相似文献