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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 103 (1995), S. 25-43 
    ISSN: 1432-2064
    Keywords: 31C15 ; 60J25 ; 60J30 ; 60J45
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We introduce a new Skorohod topology for functions of several variables. Since ann-variable function may be viewed as a one-variable function with values in the set of (n−1)-variable functions, this topology is defined by induction from the classical Skorohod topology for one-variable functions. This allows us to define the notion of completen-parameter symmetric Markov processes: Such processes are, for any 1≤p≤n, rawp-parameter Markov processes (in the sense of our previous paper [17]) with values in the space of (n−p)-variable functions. We prove, for these processes and their Bochner subordinates, a maximal inequality which implies the continuity of additive functionals associated with finite energy measures. We finally present several important examples.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 103 (1995), S. 45-71 
    ISSN: 1432-2064
    Keywords: 31C15 ; 60J25 ; 60J30 ; 60J45
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We study a class of multiparameter symmetric Markov processes. We prove that this class is stable by subordination in Bochner's sense. We show then that for these processes, a probabilistic and an analytic potential theory correspond to each other. In particular, additive functionals are associated with finite energy measures, hitting probabilities are estimated by capacities, quasicontinuity corresponds to path-continuity. In the last section, examples show that many earlier results, as well as new ones, in this domain can be obtained by our method.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1432-203X
    Keywords: Key words Somaclonal variation ; Allium cyaneum ; Fluorescence in situ hybridization ; Autotetraploid regenerants
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Investigations were performed to confirm the optimal in vitro culture condition for callus induction and plant regeneration, to observe if somoclonal variation occurs among regenerated plants at the ploidy level and to analyse the chromosomal location of 5S and 18S-26S rRNA gene families using fluorescence in situ hybridization in callus-derived plants of Allium cyaneum. High-est callus initiation was achieved with bulb explants cultured on MS medium supplemented with 2,4-D and BAP at 1 mg l–1 each. A total of 195 plants was obtained when using MS medium supplemented with 1 mg l–1 NAA and 5 mg l–1 BAP; about 92% were diploid having 2n=16; 8% showed a variation in ploidy level. Using digoxigenin-labelled 5S rRNA and biotin-labelled 18S-26S rRNA gene probes, we compared the fluorescence in situ hybridization patterns of autotetraploid plants with the A. cyaneum wild type. The 5S rRNA gene sites were detected on the interstitial region in the short arm of chromosome 4 and on the interstitial region in both arms of chromosome 7. The 18S-26S rRNA gene sites were detected on the terminal region of the short arm, including the satellite of chromosome 5, as well as on a part of chromosome B. The chromosomal location of both rRNA genes in regenerated autotetraploid plants corresponded to those of the wild species.
    Type of Medium: Electronic Resource
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