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  • Articles  (26)
  • Springer  (25)
  • American Institute of Physics (AIP)
  • 2015-2019  (9)
  • 1995-1999  (17)
  • Mathematics  (17)
  • Medicine  (9)
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  • Articles  (26)
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  • 1
    Electronic Resource
    Electronic Resource
    Time-space polynomial martingales cenerated by a discrete-time martingale (1995)
    Springer
    Journal of theoretical probability 8 (1995), S. 417-432 
    Details
    ISSN: 1572-9230
    Keywords: Discrete-parameter martingales ; discrete-parameter Markov processes ; Hermite polynomials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We investigate, for a given martingaleM={M n: n≥0}, the conditions for the existence of polynomialsP(·,·) of two variables, “time” and “space,” and of arbitrary degree in the latter, such that{P(n, M n)} is a martingale for the natural filtration ofM. Denoting by ℘ the vector space of all such polynomials, we ask, in particular, when such a sequence can be chosen so as to span ℘. A complete necessary and sufficient condition is obtained in the case whenM has independent increments. For generalM, we obtain a necessary condition which entails, under mild additional hypotheses, thatM is necessarily Markovian. Considering a slightly more general class of polynomials than ℘ we obtain necessary and sufficient conditions in the case of general martingales also. It is moreover observed that in most of the cases, the set ℘ determines the law of the martingale in a certain sense.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02212886
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  • 2
    Electronic Resource
    Electronic Resource
    On Best Equivariance and Admissibility of Simultaneous MLE for Mean Direction Vectors of Several Langevin Distributions (1998)
    Springer
    Annals of the Institute of Statistical Mathematics 50 (1998), S. 715-727 
    Details
    ISSN: 1572-9052
    Keywords: Admissibility of estimators ; Bayes estimators ; best equivariant estimator ; Langevin distribution ; mean direction vector ; Stein effect
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The circular normal distribution, CN(μ, κ), plays a role for angular data comparable to that of a normal distribution for linear data. We establish that for the curved and for the regular exponential family situations arising when κ is known, and unknown respectively, the MLE $$\widehat\mu$$ of the mean direction μ is the best equivariant estimator. These results are generalized for the MLE $$\widehat{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{\mu } }$$ of the mean direction vector $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{\mu } = (\mu _1 , \ldots ,\mu _p )'$$ in the simultaneous estimation problem with independent CN(μ $$_i$$ , ϰ), i = 1,..., p, populations. We further observe that $$\widehat{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{\mu } }$$ is admissible both when κ is known or unknown. Thus unlike the normal theory, Stein effect does not hold for the circular normal case. This result is generalized for the simultaneous estimation problem with directional data in q-dimensional hyperspheres following independent Langevin distributions, L( $$L(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{\mu } _i ,\kappa ),i = 1, \ldots ,p$$ .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1003712930390
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  • 3
    Electronic Resource
    Electronic Resource
    Full range solution of half space neutron transport problem (1995)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 46 (1995), S. 40-60 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Based on the fact that the complete set of eigenfunctions of a half-range problem in [0,U] is also part of a larger set that is complete in the full-range [ −U,U], a full-range boundary condition is introduced for solving the half-range problem. Specifically, this condition expresses the solution at the boundary valid for allu ε [ −U,U] as the sum of a given forward component inu ε [0,U] and the unknown backward component inu ε [ −U, 0). Thus the basically ill-posed nature of the half-range problem, viz., that is required to find the response in [ —U,U] from given data in [0,U], is formulated over the entire domain at the boundary as compared to the usual approach that expresses the boundary condition only over [0,U]. This allows us, through a two-step process that considers the full-range properties of the eigenfunctions in [ —U,U] only, to obtainnumerically exact extrapolated end-point and CaseX-function. This means, because of the relationship of these fundamental half-range data with standard half-range expansion coefficientsa 0+ andA(v) [2], that the transient integral of the half-range solution has been reduced to mechanical quadratures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00952255
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  • 4
    Electronic Resource
    Electronic Resource
    A symplectic structure for connections on surfaces with boundary (1996)
    Springer
    Communications in mathematical physics 175 (1996), S. 657-671 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract For compact surfaces with one boundary component, and semisimple gauge groups, we construct a closed gauge invariant 2-form on the space of flat connections whose boundary holonomy lies in a fixed conjugacy class. This form descends to the moduli space under the action of the full gauge group, and provides an explicit description of a symplectic structure for this moduli space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02099512
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  • 5
    Electronic Resource
    Electronic Resource
    A Mathematical Construction of the Non-Abelian Chern-Simons Functional Integral (1997)
    Springer
    Communications in mathematical physics 186 (1997), S. 563-579 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: We construct rigorously an infinite dimensional distribution which corresponds to the Chern-Simons (CS) functional integral associated with a principal fiber bundle over R 3 with structure group a compact connected Lie group. We determine the ‘moments’ of the CS distribution and show that these coincide with those used in informal studies of the CS integral. A locality property of the CS distribution is proven. The complexified theory of Fröhlich and King is also discussed within our framework.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002200050120
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  • 6
    Electronic Resource
    Electronic Resource
    A new 2-form for connections on surfaces with boundary (1995)
    Springer
    Letters in mathematical physics 34 (1995), S. 135-147 
    Details
    ISSN: 1573-0530
    Keywords: 53C05 ; 58D27 ; 81T13
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A natural gauge-invariant 2-form is introduced on the space of connections over a compact oriented surface with boundary. It is shown that this 2-form descends to the moduli space of flat connections, under a group of based gauge transformations. An explicit expression (in terms of holonomy variations) is given for the resulting 2-form, and it is related to the symplectic structure of the extended moduli space introduced by L. C. Jeffrey.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00739092
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  • 7
    Electronic Resource
    Electronic Resource
    Yang-Mills on Surfaces with Boundary: Quantum Theory and Symplectic Limit (1997)
    Springer
    Communications in mathematical physics 183 (1997), S. 661-705 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: The quantum field measure for gauge fields over a compact surface with boundary, with holonomy around the boundary components specified, is constructed. Loop expectation values for general loop configurations are computed. For a compact oriented surface with one boundary component, let $ be the moduli space of flat connections with boundary holonomy lying in a conjugacy class $ in the gauge group G. We prove that a certain natural closed 2-form on $ , introduced in an earlier work by C. King and the author, is a symplectic structure on the generic stratum of $ for generic $ . We then prove that the quantum Yang-Mills measure, with the boundary holonomy constrained to lie in $ , converges in a natural sense to the corresponding symplectic volume measure in the classical limit. We conclude with a detailed treatment of the case $ , and determine the symplectic volume of this moduli space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002200050047
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  • 8
    Electronic Resource
    Electronic Resource
    Analgesic efficacy and pharmacokinetics of topical nimesulide gel in healthy human volunteers: double-blind comparison with piroxicam, diclofenac and placebo (1998)
    Springer
    European journal of clinical pharmacology 54 (1998), S. 541-547 
    Details
    ISSN: 1432-1041
    Keywords: Key words Nimesulide ; Topical gel ; Analgesia
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Medicine
    Notes: Abstract Objective: The present study was conducted to compare the analgesic efficacy of a new topical gel formulation of nimesulide (10 mg of pure drug) with that of placebo, diclofenac and piroxicam gels (10 mg of pure drug) in three parallel groups in a double-blinded, randomized fashion with vehicle placebo. The analgesic activity of nimesulide was subsequently correlated with its pharmacokinetic profile. Methods: The drugs were applied on a fixed marked area on the skin of the right forearm. Pain stimulus was administered using a modification of the Hollander method, before and at 15, 30, 60, 120 min and 240 min post-treatment. The pain experienced by the subjects was ranked separately on the visual analogue scale (VAS) and the ten-point category scale. Antinociception induced by the treatments was evaluated through the placebo-related ratings (PRR) and total pain relief (TOTPAR) analysis. The plasma concentration of nimesulide was estimated using high-performance liquid chromatography (HPLC). Results: Nimesulide exhibited better efficacy than diclofenac, piroxicam and placebo. It demonstrated faster onset of action in concordance with earlier studies. Peak analgesic effect was observed at 120 min post-treatment, which correlated with the pharmacokinetic profile of the drug in gel formulation. In this study, diclofenac was found to be superior to piroxicam though both drugs exhibited peak analgesic effect at 60 min post-treatment. In the modified Hollander method, a good correlation was found between the ten point category scale and the VAS, indicating that it may serve as a sensitive and reliable method for the screening of analgesic drugs. Conclusion: The superior analgesic activity of nimesulide (as gel formulation), correlating with its pharmacokinetic profile, indicates that the topical route of administration may be a safe and effective alternative to the presently used oral and rectal routes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002280050510
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  • 9
    Electronic Resource
    Electronic Resource
    The semiclassical limit forSU(2) andSO(3) gauge theory on the torus (1995)
    Springer
    Communications in mathematical physics 169 (1995), S. 297-313 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We prove that forSU(2) andSO(3) quantum gauge theory on a torus, holonomy expectation values with respect to the Yang-Mills measure converge, asT↓0, to integrals with respect to a symplectic volume measure µ0 on the moduli space of flat connections on the bundle. These moduli spaces and the symplectic structures are described explicitly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02099474
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  • 10
    Electronic Resource
    Electronic Resource
    Potentiation of GSK-3-catalyzed Alzheimer-like phosphorylation of human tau by cdk5 (1997)
    Springer
    Molecular and cellular biochemistry 167 (1997), S. 99-105 
    Details
    ISSN: 1573-4919
    Keywords: cdk5 ; tau protein ; protein kinases ; Alzheimer disease ; paired helical filaments ; microtubules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract Tau protein from Alzheimer disease (AD) brain is hyperphosphorylated by both proline-dependent protein kinases (PDPKs) and non-PDPKs. It is presently unclear how PDPKs and non-PDPKs interact in tau hyperphosphorylation. Previously we have shown that non-PDPKs can positively modulate the activity of a PDPK (GSK-3) in tau phosphorylation (Singh et al. (1995) FEBS Lett. 358, 267-272). In this study we have investigated whether (A) non-PDPKs can also modulate the activity of the PDPK, cdk5, (B) a PDPK can modulate the activities of another PDPK, as well as non-PDPKs. We found that, like GSK-3, the activity of cdk5 is stimulated if tau were first prephosphorylated by any of several non-PDPKs (A-kinase, C-kinase, CK-1, CaM-kinase II). Prephosphorylation of tau by cdk5 stimulated both the rate and extent of a subsequent phosphorylation catalyzed by GSK-3. Under these conditions thr 231 phosphorylation was especially enhanced (9-fold). No significant stimulation of phosphorylation was obser ved when the order of these kinases was reversed (i.e. GSK-3 followed by cdk5). By contrast, prephosphorylation of tau by cdk5 served to inhibit subsequent phosphorylation catalyzed by C-kinase and CK-1, but not by A-kinase or CaM-kinase II. Our results suggest that in tau hyperphosphorylation in AD brain, cdk5-catalyzed phosphorylation may serve to up-regulate the activity of GSK-3 and down-regulate the activities of C-kinase and CK-1. (Mol Cell Biochem 167: 99-105, 1997)
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006883924775
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