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  • 1
    Electronic Resource
    Electronic Resource
    COMPARISON OF PERCEPTS FOUND WITH COCHLEAR IMPLANT DEVICES (1983)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 405 (1983), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1983.tb31654.x
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  • 2
    Electronic Resource
    Electronic Resource
    A connection between Strassen's and Donsker-Varadhan's laws of the iterated logarithm (1991)
    Springer
    Probability theory and related fields 87 (1991), S. 365-388 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A connection is given between various functional laws of the iterated logarithm for Brownian motion due to Donsker and Varadhan, Csáki, Chung, Strassen, and the author.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01312216
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  • 3
    Electronic Resource
    Electronic Resource
    Long time existence for the heat equation with a noise term (1991)
    Springer
    Probability theory and related fields 90 (1991), S. 505-517 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We consider the equationu t =u xx +u γ W forx on a finite interval, with Dirichlet boundary conditions. W is spacetime white noise. The initial condition is continuous and nonnegative. We show existence and uniqueness for all time, provided 1 ≧γ〈3/2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01192141
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  • 4
    Electronic Resource
    Electronic Resource
    The compact support property for solutions to the heat equation with noise (1992)
    Springer
    Probability theory and related fields 93 (1992), S. 325-358 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We consider all solutions of a martingale problem associated with the stochastic pde $$u_t = \tfrac{1}{2}u_{xx} + u^\gamma \dot W$$ and show thatu(t,·) has compact support for allt≧0 ifu(0,·) does and if γ〈1. This extends a result of T. Shiga who derived this compact support property for γ≦1/2 and complements a result of C. Mueller who proved this property fails if γ≧1.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01193055
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  • 5
    Electronic Resource
    Electronic Resource
    Blowup for the heat equation with a noise term (1993)
    Springer
    Probability theory and related fields 97 (1993), S. 287-320 
    Details
    ISSN: 1432-2064
    Keywords: 60H15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In this paper we study blow up of the equation $$u_t = u_{xx} + u^\gamma \dot W_{tx}$$ , where $$\dot W_{tx}$$ is a two-dimensional white noise field and where Dirichlet boundary conditions are enforced. It is known that if γ〈3/2, then the solution exists for all time; in this paper we show that if γ is much larger than 3/2, then the solution blows up in finite time with positive probability. We prove this by considering how peaks in the solution propagate. If a peak of high mass forms, we rescale the equation and divide the mass of the peak into a collection of peaks of smaller mass, and these peaks evolve almost independently. In this way we compare the evolution ofu to a branching process. Large peaks are regarded as particles in this branching process. Offspring are peaks which are higher by some factor. We show that the expected number of offspring is greater than one when γ is much larger than 3/2, and thus the branching process survives with positive probability, corresponding to blowup in finite time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01195068
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  • 6
    Electronic Resource
    Electronic Resource
    Neue Strahlungsmeßgeräte (Thermoelemente) von gesteigerter Empfindlichkeit und Einstellschnelligkeit (1931)
    Springer
    Naturwissenschaften 19 (1931), S. 416-419 
    Details
    ISSN: 1432-1904
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Natural Sciences in General
    Notes: Zusammenfassung 1. Es wird ein neues Legierungsverfahren zur Herstellung von Mikrothermoelementen und magnetischen Feinfolien sowie von Mikrotragdrähten und Galvanometer- und Elektrometersaiten von gesteigerter Festigkeit beschrieben. 2. An Hand von Vergleichsmessungen durch Herrn Dr.H. Theissing in der Physikalisch-Technischen Reichsanstalt wird aufgezeigt, daß hiernach Vakuumthermoelemente für Strahlungsmessungen herstellbar sind, welche vermöge verminderter Wärmekapazität dieMollschen Thermoelemente und die Radiometer an Empfindlichkeit und Einstellgeschwindigkeit noch wesentlich übertreffen.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01516392
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  • 7
    Electronic Resource
    Electronic Resource
    Über sehr dünne, durchsichtige Metallfolien (1926)
    Springer
    Naturwissenschaften 14 (1926), S. 43-46 
    Details
    ISSN: 1432-1904
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Natural Sciences in General
    Notes: Zusammenfassung Es wird die Gewinnung von sehr dünnen, hochdurchsichtigen freien Metallfolien aus Nickel, Gold, Platin, Silber, Eisen bis teilweise zu Stärken von 1 · 10−6 cm herab beschrieben und ein Überblick über das Verhalten der Folien in mechanischer, chemischer, elektrischer und besonders optischer Hinsicht an Hand spektrographischer Aufnahmen und spektralphotometrischer Messungen gegeben.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01506832
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  • 8
    Electronic Resource
    Electronic Resource
    A phase transition for a stochastic PDE related to the contact process (1994)
    Springer
    Probability theory and related fields 100 (1994), S. 131-156 
    Details
    ISSN: 1432-2064
    Keywords: 60H15 ; 35R60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We consider the one-dimensional heat equation, with a semilinear term and with a nonlinear white noise term. R. Durrett conjectured that this equation arises as a weak limit of the contact process with longrange interactions. We show that our equation possesses a phase transition. To be more precise, we assume that the initial function is nonnegative with bounded total mass. If a certain parameter in the equation is small enough, then the solution dies out to 0 in finite time, with probability 1. If this parameter is large enough, then the solution has a positive probability of never dying out to 0. This result answers a question of Durett.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01199262
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  • 9
    Electronic Resource
    Electronic Resource
    Long-time existence for signed solutions of the heat equation with a noise term (1998)
    Springer
    Probability theory and related fields 110 (1998), S. 51-68 
    Details
    ISSN: 1432-2064
    Keywords: AMS Mathematics Subject Classification (1991): Primary 60H15; secondary 35R60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. Let ? be the circle [0,J] with the ends identified. We prove long-time existence for the following equation. Here, =(t,x) is 2-parameter white noise, and we assume that u 0(x) is a continuous function on ?. We show that if g(u) grows no faster than C 0(1+|u|)γ for some γ〈3/2, C 0〉0, then this equation has a unique solution u(t,x) valid for all times t〉0.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004400050144
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  • 10
    Electronic Resource
    Electronic Resource
    Strassen's law for local time (1983)
    Springer
    Probability theory and related fields 63 (1983), S. 29-41 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00534174
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