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  • 1
    Electronic Resource
    Electronic Resource
    Rigorous bounds for critical temperatures of O(N) spin models by transformations of block spin type (1996)
    Springer
    Letters in mathematical physics 37 (1996), S. 349-362 
    Details
    ISSN: 1573-0530
    Keywords: 82B20 ; 82B41 ; 82B28 ; random walk ; block spin transformation ; trimming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We obtain new upper bounds of critical temperatures of N-vector (Heisenberg) models. We apply a transformation of block spin type to random walk representations of the spin models, which was developed by Fröhlich et al. more than a decade ago. Though the transformation is applied just one time, the upper bounds are considerably improved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00343198
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Stochastic evolution equations in Hilbert spaces (1995)
    Springer
    Applied mathematics & optimization 32 (1995), S. 255-279 
    Details
    ISSN: 1432-0606
    Keywords: Stochastic PDEs ; Nonlinear monotone operators ; Difference approximations ; 60H15 ; 35R60 ; 47H17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we consider Ito's stochastic differential equation in Hilbert spaces. A strong solution is generated by the difference approximation. A regularity result is obtained for solutions to a class of parabolic stochastic partial differential equations. Hyperbolic stochastic evolution equations are also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01187902
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    Paper (German National Licenses)
    Fulltext
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