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  • 1
    Electronic Resource
    Electronic Resource
    A Method of Electron Diffraction Intensity Correction in Combination with High-Resolution Electron Microscopy (1996)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 52 (1996), S. 152-157 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: An empirical method is proposed for partially correcting the distortion of electron diffraction intensity caused by Ewald-sphere curvature, crystal bending, thickness inhomogeneity etc. The method is based on the combination of electron diffraction and high-resolution electron microscopy. It has been tested with a crystal of high-temperature superconducting oxide YBa2Cu3O7−x and shown to be effective.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767395012682
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On Interacting Systems of Hilbert-Space-Valued Diffusions (1998)
    Springer
    Applied mathematics & optimization 37 (1998), S. 151-188 
    Details
    ISSN: 1432-0606
    Keywords: Key words. Martingale problem, Nuclear, Interacting Hilbert-space-valued diffusions, McKean—Vlasov equation, Propagation of chaos. AMS Classification. Primary 60J60, Secondary 60B10.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. A nonlinear Hilbert-space-valued stochastic differential equation where L -1 (L being the generator of the evolution semigroup) is not nuclear is investigated in this paper. Under the assumption of nuclearity of L -1 , the existence of a unique solution lying in the Hilbert space H has been shown by Dawson in an early paper. When L -1 is not nuclear, a solution in most cases lies not in H but in a larger Hilbert, Banach, or nuclear space. Part of the motivation of this paper is to prove under suitable conditions that a unique strong solution can still be found to lie in the space H itself. Uniqueness of the weak solution is proved without moment assumptions on the initial random variable. A second problem considered is the asymptotic behavior of the sequence of empirical measures determined by the solutions of an interacting system of H -valued diffusions. It is shown that the sequence converges in probability to the unique solution Λ 0 of the martingale problem posed by the corresponding McKean—Vlasov equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002459900072
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Asymptotic behavior of a system of interacting nuclear-space-valued stochastic differential equations driven by Poisson random measures (1994)
    Springer
    Applied mathematics & optimization 30 (1994), S. 175-201 
    Details
    ISSN: 1432-0606
    Keywords: Poisson random measure ; McKean-Vlasov equation ; Empirical measure ; Primary 60B10 ; 60F05 ; Secondary 46F25 ; 60G57 ; 60H10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we study a system of interacting stochastic differential equations taking values in duals of nuclear spaces driven by Poisson random measures. We also consider the McKean-Vlasov equation associated with the system. We show that under suitable conditions the system has a unique solution and the sequence of its empirical distributions converges to the solution of the McKean-Vlasov equation when the size of the system tends to infinity. The results are applied to the voltage potentials of a large system of neurons and the limiting distribution of the empirical measure is obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01189454
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  • 4
    Electronic Resource
    Electronic Resource
    Exponential Convergence for a System of Conuclear Space-Valued Diffusions with Mean-Field Interaction (1999)
    Springer
    Applied mathematics & optimization 39 (1999), S. 281-307 
    Details
    ISSN: 1432-0606
    Keywords: Key words. Exponential convergence rate, Exponential tightness, Measure-valued process, Stochastic differential equation. AMS Classification. Primary 60F10, Secondary 60H10, 60J60.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. We consider an interacting system of n diffusion processes X n j (t): t∈[0,1] , j=1,2,. . ., n , taking values in a conuclear space Φ' . Let ζ n t =(1/n)Σ n j=1 δ Xnj(t) be the empirical process. It has been proved that ζ n , as n→∞ , converges to a deterministic measure-valued process which is the unique solution of a nonlinear differential equation. In this paper we show that, under suitable conditions, ζ n converges to ζ at an exponential rate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002459900107
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  • 5
    Electronic Resource
    Electronic Resource
    Binding affinity of bicarbonate and formate in herbicide-resistant D1 mutants of Synechococcus sp. PCC 7942 (1992)
    Springer
    Photosynthesis research 34 (1992), S. 397-408 
    Details
    ISSN: 1573-5079
    Keywords: bicarbonate effect ; cyanobacterium ; D1 protein ; herbicide-resistance ; Photosystem II ; (Synechococcus sp. PCC 7942)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract We examined the effects of mutations at amino acid residues S264 and F255 in the D1 protein on the binding affinity of the stimulatory anion bicarbonate and inhibitory anion formate in Photosystem II (PS II) in Synechococcus sp. PCC 7942. Measurements on the rates of oxygen evolution in the wild type and mutant cells in the presence of different concentrations of formate with a fixed bicarbonate concentration and vice versa, analyzed in terms of an equilibrium activator-inhibitor model, led to the conclusion that the equilibrium dissociation constant for bicarbonate is increased in the mutants, while that of the formate remains unchanged (11±0.5 mM). The hierarchy of the equilibrium dissociation constant for bicarbonate (highest to lowest, ±2 μM) was: D1-F255L/S264A (46 μM)〉D1-F255Y/ S264A (31 μM)≈D1-S264A (34 μM)≈D1-F255Y (33 μM)〉wild type (25 μM). The data suggest the importance of D1-S264 and D1-F255 in the bicarbonate binding niche. A possible involvement of bicarbonate and these two residues in the protonation of QB -, the reduced secondary plastoquinone of PS II, in the D1 protein is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00029814
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  • 6
    Electronic Resource
    Electronic Resource
    Cord-slope form of Taylor's expansion in univariate global optimization (1994)
    Springer
    Journal of optimization theory and applications 80 (1994), S. 441-464 
    Details
    ISSN: 1573-2878
    Keywords: Global optimization ; univariate functions ; interval arithmetic ; Taylor's formula
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Interval arithmetic and Taylor's formula can be used to bound the slope of the cord of a univariate function at a given point. This leads in turn to bounding the values of the function itself. Computing such bounds for the function, its first and second derviatives, allows the determination of intervals in which this function cannot have a global minimum. Exploiting this information together with a simple branching rule yields an efficient algorithm for global minimization of univariate functions. Computational experience is reported.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207774
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