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  • Sesame  (3)
  • correlation functions  (3)
  • Anther dimensions  (2)
  • Springer  (6)
  • 1
    Electronic Resource
    Electronic Resource
    Block Renormalization Group Approach for Correlation Functions of Interacting Fermions (1997)
    Springer
    Letters in mathematical physics 42 (1997), S. 261-270 
    Details
    ISSN: 1573-0530
    Keywords: block renormalization group ; correlation functions ; ferminos.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Inspired by a decomposition of the lattice Laplacian operator into massive terms (coming from the use of the block renormalization group transformation for bosonic systems), we establish a telescopic decomposition of the Dirac operator into massive terms, with a property named ‘orthogonality between scales’. Making a change of Grassmann variables and writing the initial fields in terms of the eigenfunctions of the operators related to this decomposition, we propose a multiscale structure for the generating function of interacting fermions. Due to the orthogonality property we obtain simple formulas, establishing a trivial link between the correlation functions and the effective potential theories. In particular, for the infrared analysis of some asymptotically free models, the two point correlation function is written as a dominant term (decaying at large distances as the free propagator) plus a correction with faster decay, and the study of both terms is straightforward once the effective potential theory is controlled.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007391002152
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  • 2
    Electronic Resource
    Electronic Resource
    Multiscale Formalism for Correlation Functions of Fermions. Infrared Analysis of the Tridimensional Gross–Neveu Model (1999)
    Springer
    Journal of statistical physics 95 (1999), S. 665-692 
    Details
    ISSN: 1572-9613
    Keywords: correlation functions ; fermions ; infrared analysis ; tridimensional Gross–Neveu model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present a multiscale formalism for fermionic systems (with a smooth UV cutoff ) establishing a trivial link between the correlation functions and the effective potential flow, and study the k-point truncated functions of the tridimensional Gross–Neveu model. A new efficient method is used to bound these correlation functions and show polynomial tree decay for long distances. We are guided by a block lattice mechanism with a property of orthogonality between terms in different scales, which leads to simple formulas for the correlations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004547426881
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  • 3
    Electronic Resource
    Electronic Resource
    Genetic and environmental variation in anther, pollen and pistil dimensions in sesame (1996)
    Springer
    Sexual plant reproduction 9 (1996), S. 228-232 
    Details
    ISSN: 1432-2145
    Keywords: Male transmission ; Anther dimensions ; Pollen dimensions ; Pistil dimensions ; Sesame ; Sesamum indicum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Measurements of anther (length, width, depth), pollen grain (percent fertility, polar diameter, equatorial diameter, polar diameter/equatorial diameter ratio, volume) and pistil (stigma length, style length, ovary length, total pistil length, stigma width, style width, ovary width) were taken on 12 diverse sesame (Sesamum indicum L.) genotypes on each of four collection dates in 1994. Highly significant differences among genotype means were obtained for all characters except polar diameter. Highly significant differences among environment (collection date) means were found for ten of the 15 characters measured. Highly significant genotype x environment interactions were obtained for all characters except anther length. For the anther characters measured, relatively high repeatability values were found, ranging from 99.8% for length to 87.6% for depth. For the pollen grain characters measured, the repeatability values ranged from 67.6% for percent fertility to 23.1% for polar diameter. For the pistil characters measured, the repeatability values ranged from 94.0% for style width to 49.6% for total pistil length. These results indicate that genotype and environment influence anther, pollen grain and pistil characters. Variation in some of these morphological aspects could influence the consistency and interpretation of male transmission studies on both the applied and evolutionary levels.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02173103
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  • 4
    Electronic Resource
    Electronic Resource
    Genetic and environmental variation in anther, pollen and pistil dimensions in sesame (1996)
    Springer
    Sexual plant reproduction 9 (1996), S. 228-232 
    Details
    ISSN: 1432-2145
    Keywords: Key words Male transmission ; Anther dimensions ; Pollen dimensions ; Pistil dimensions ; Sesame ; Sesamum indicum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract  Measurements of anther (length, width, depth), pollen grain (percent fertility, polar diameter, equatorial diameter, polar diameter/equatorial diameter ratio, volume) and pistil (stigma length, style length, ovary length, total pistil length, stigma width, style width, ovary width) were taken on 12 diverse sesame (Sesamum indicum L.) genotypes on each of four collection dates in 1994. Highly significant differences among genotype means were obtained for all characters except polar diameter. Highly significant differences among environment (collection date) means were found for ten of the 15 characters measured. Highly significant geno- type × environment interactions were obtained for all characters except anther length. For the anther characters measured, relatively high repeatability values were found, ranging from 99.8% for length to 87.6% for depth. For the pollen grain characters measured, the repeatability values ranged from 67.6% for percent fertility to 23.1% for polar diameter. For the pistil characters measured, the repeatability values ranged from 94.0% for style width to 49.6% for total pistil length. These results indicate that genotype and environment influence anther, pollen grain and pistil characters. Variation in some of these morphological aspects could influence the consistency and interpretation of male transmission studies on both the applied and evolutionary levels.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004970050036
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  • 5
    Electronic Resource
    Electronic Resource
    Genetic variation for in vitro sesame pollen germination and tube growth (1997)
    Springer
    Theoretical and applied genetics 95 (1997), S. 1218-1222 
    Details
    ISSN: 1432-2242
    Keywords: Key words In vitro pollen germination ; Sesame ; Sesamum indicum L ; Male transmission
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract   In vitro pollen germination and tube length studies are valuable in elucidating mechanisms (germination capacity and rate, tube growth rate) possibly associated with genetic differences in male transmission. On each of two collection dates, the percentage germination and tube length of the binucleate pollen grains from five diverse sesame (Sesamum indicum L.) genotypes were determined at eight times (30, 60, 90, 120, 150, 180, 240, 300 min) after inoculation on a semisolid medium containing 10% (100 g l-1) sucrose (C12H22O11), 0.4% (4 g l-1) purified agar (Fisher Lot 914409), 0.1% (1 g l-1) calcium nitrate [Ca(NO3)2 ⋅ 4H2O] and 0.01% (100 mg l-1) boric acid (H3BO3). Before heating, the pH of the medium was adjusted to 7.0 with a 0.1 N potassium hydroxide (KOH) solution. Over the five genotypes, 5% germination was found 30 min after inoculation and a maximum of 37% germination 120 min after inoculation with no significant changes thereafter. As indicated by the highly significant genotype×time after inoculation interaction, the genotypes differed in the time at which germination was initiated and maximum germination attained. Over all five genotypes, the tube length was 91 μm 30 min after inoculation, reaching a maximum of 1000 μm 300 min after inoculation. As shown by the highly significant genotype×time after inoculation interaction, the genotypes differed in the time at which tube length was observed and the maximum tube length was attained. Little or no relationship between percent germination and tube length was observed among the genotypes. For both percent germination and tube length, the statistical significance of collection date and its interactions with genotype and time after inoculation indicated that environment in the form of collection date was also an influencing factor. These results indicated that genetic differences among genotypes were present for in vitro germination capacity, germination rate and tube growth rate and that these factors singly or in combination could alter male transmission of genetic elements.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001220050684
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  • 6
    Electronic Resource
    Electronic Resource
    Orthogonality between scales and wavelets in a representation for correlation functions. The lattice dipole gas and (∇φ)4 models (1993)
    Springer
    Journal of statistical physics 73 (1993), S. 695-721 
    Details
    ISSN: 1572-9613
    Keywords: Orthogonality between scales ; correlation functions ; block renormalization group ; dipole gas
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Exact formulas for the correlation functions of lattice scalar field models in Zd,d⩾3, such as the dipole gas and anharmonic crystal are derived in terms of the effective action generated aftern applications of the block renormalization group transformation. Utilizing the orthogonality between different momentum scales (relations due to the wavelets implicit in the structure of the block renormalization group transformation), the formulas are quite simple, isolate the dominant term, and, in the thermodynamic andn→∞ limits, reduce the analysis to local estimates of the effective action. Based on a large-small field analysis, the two-point function is determined and it is shown how to extend the results to general correlations. The results proved here show the usefulness of the “orthogonality-of-scales” property for the study of correlation functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01054346
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