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  • 1
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 52 (1996), S. 571-576 
    ISSN: 1399-0047
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A family G xylanase from Aspergillus niger has been crystallized using the vapor-diffusion method. Several crystal forms could be obtained using various sodium salts as precipitants. Three of the crystal forms belong to space groups P21, P212121 and P43 and have cell parameters of approximately a = b = 85.1, c = 113.6 Å and α = β = γ = 90°. These crystal forms can be converted into one another by flash freezing or macroseeding. A fourth crystal form is cubic (space group P213) with unit-cell axes of a = b = c = 112.3 Å. Data sets for three of the four crystal forms have been collected, extending to a maximum resolution of 2.4 Å. The structures of the monoclinic and orthorhombic crystals have been solved by molecular replacement by combining the crystallographic information of the different crystal forms. Refinement of the orthorhombic crystal form is now in progress.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    International journal of game theory 21 (1992), S. 151-160 
    ISSN: 1432-1270
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract In the classical secretary problem the decision maker can only observe the relative ranks of the items presented. Recently, Ferguson — building on ideas of Stewart — showed that, in a game theoretic sense, there is no advantage if the actual values of the random variables underlying the relative ranks can be observed (game of googol). We extend this to the case where the number of items is unknown with a known upper bound. Corollary 3 extends one of the main results in [HK] toall randomized stopping times. We also include a modified, somewhat more formal argument for Ferguson's result.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Mathematische Zeitschrift 96 (1967), S. 50-57 
    ISSN: 1432-1823
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 13 (1969), S. 150-164 
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Two concepts of mixing for null-preserving transformations are introduced, both coinciding with (strong) mixing if there is a finite invariant measure. The authors believe to offer the correct answer to the old problem of defining mixing in infinite measure spaces. A sequence of sets is called semiremotely trivial if every subsequence contains a further subsequence with trivial remote σ-algebra (=tail σ-field). A transformation T is called mixing if (T −n A) is semiremotely trivial for every set A of finite measure; completely mixing if this is true for every measurable A. Thus defined mixing is exactly the condition needed to generalize certain theorems holding in finite measure case. For invertible non-singular transformations complete mixing implies the existence of a finite equivalent invariant mixing measure. If no such measure exists, complete mixing implies that for any two probability measures π1,π2, $$\pi _1 ,\pi _2 ,\pi _1 \circ T^{ - n} - \pi _2 \circ T^{ - n} \to 0$$ in total variation norm.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 76 (1987), S. 411-420 
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The basic convergence theorems for finite state Markov chains are extended to the nonlinear case. An operatorT inl 1 of a finite space with counting measure is called nonexpansive if ‖Tf-Tg‖1≦‖f-g‖1 holds for allf, g. It is shown that, for anyf, there exists an integer p〉=1 such thatT pnf converges. Sufficient conditions forp=1 are given. In the case of continuous parameter nonexpansive semigrous {T t, t〉=0},T tf converges fort→∞. The main tool is a geometric theorem on isometriesS of compact subsets of the abovel 1: It is shown that any orbit underS is finite. The exponential speed of convergence does not extend from the Markov chain case to nonlinearT.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 64 (1983), S. 269-274 
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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