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A family of infinite measure preserving odometers is presented which exhibit examples ofp-recurrent but notp+1-recurrent ergodic transformations for everyp>1. 相似文献
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Becker-Szendy R Bratton CB Cady R Casper D Dye ST Gajewski W Goldhaber M Haines TJ Halverson PG Jones TW Kielczewska D Kropp WR Learned JG LoSecco JM Matsuno S McGrew C Mudan MS Price L Reines F Schultz J Sobel HW Stone JL Sulak LR Svoboda R Wittel F 《Physical review D: Particles and fields》1991,43(4):1413-1415
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J. O. Halverson und F. H. Smith 《Fresenius' Journal of Analytical Chemistry》1939,118(5-6):172-173
Ohne Zusammenfassung 相似文献
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Halverson JD Lee WB Grest GS Grosberg AY Kremer K 《The Journal of chemical physics》2011,134(20):204905
Molecular dynamics simulations were conducted to investigate the dynamic properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N = 1600 monomers per chain which corresponds to roughly 57 entanglement lengths for comparable linear polymers. The ring melts were found to diffuse faster than their linear counterparts, with both architectures approximately obeying a D ~ N(-2.4) scaling law for large N. The mean-square displacement of the center-of-mass of the rings follows a sub-diffusive behavior for times and distances beyond the ring extension [linear span]R(g)(2)[linear span], neither compatible with the Rouse nor the reptation model. The rings relax stress much faster than linear polymers, and the zero-shear viscosity was found to vary as η(0) ~ N(1.4 ± 0.2) which is much weaker than the N(3.4) behavior of linear chains, not matching any commonly known model for polymer dynamics when compared to the observed mean-square displacements. These findings are discussed in view of the conformational properties of the rings presented in the preceding paper [J. D. Halverson, W. Lee, G. S. Grest, A. Y. Grosberg, and K. Kremer, J. Chem. Phys. 134, 204904 (2011)]. 相似文献
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J. O. Halverson und Olaf Bergeim 《Fresenius' Journal of Analytical Chemistry》1920,59(8-9):364-365
Ohne Zusammenfassung 相似文献
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Gottlieb-Röse Eichloff Grimmer Röhrig D. P. Ross van Lennep J. D. Ruys W. Bremer W. Greifenhagen C. Huyge A. A. Bonnema C. J. König W. C. Moog Orla-Jensen J. van Haarst M. Siegfeld O. Richter H. Droop Ross Gerber Wendler A. Sichler J. Golding Hesse Fr. Kundrat A. Rosam W. R. Bloor B. G. Lellan E. P. Harding G. Parkin Ch. Porcher A. A. A. Utt J. O. Halverson N. G. Redmond Klein Janoss H. F. Lichtenberg L. Fr. Rosengren Mats Weibull Rusche L. Lindet J. Boes H. Weyland 《Analytical and bioanalytical chemistry》1919,58(10-11):516-525
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J. K. Brooks Kazuyuki Saitô JD Maitland Wright 《Rendiconti del Circolo Matematico di Palermo》2003,52(1):5-14
LetA be aC*-algebra with second dualA″. Let (φ
n)(n=1,...) be a sequence in the dual ofA such that limφ
n(a) exists for eacha εA. In general, this does not imply that limφ
n(x) exists for eachx εA″. But if limφ
n(p) exists whenever p is the range projection of a positive self-adjoint element of the unit ball ofA, then it is shown that limφ
n(x) does exist for eachx inA″. This is a non-commutative generalisation of a celebrated theorem of Dieudonné. A new proof of Dieudonné’s theorem, for
positive measures, is given here. The proof of the main result makes use of Dieudonné’s original theorem. 相似文献