4 research outputs found

    On Regularized Trace Formula of Gribov Semigroup Generated by the Hamiltonian of Reggeon Field Theory in Bargmann Representation

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    International audienceIn Intissar (J Math Anal Appl 305(2):669-689, 2005), the second author have considered the Gribov operator acting on Bargmann space where and with and . Here a and are the standard Bose annihilation and creation operators satisfying the commutation relation . In Reggeon field theory, the real parameters is the four coupling of Pomeron, is Pomeron intercept, is the triple coupling of Pomeron and . He had given an approximation of the semigroup generated by the operator . In particular, he had obtained an estimate approximation in trace norm of this semigroup by the unperturbed semigroup . In Intissar (J Math Anal Appl 437:59-70, 2016), he had regularized the operator by where , i.e he had considered where is the magic coupling of Pomeron. In this case, he had established an exact relation between the degree of subordination of the non-self-adjoint perturbation operator to the unperturbed operator and the number of corrections necessary for the existence of finite formula of the regularized trace. The goal of the work of the authors in this article consists to study the trace of the semigroup , in particular to give an asymptotic expansion of this trace as

    Presentation of some elementary properties of Segal-Bargmann space and of unitary Segal-Bargmann transform with applications

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    In this work, we present some elementary properties of Segal-Bargmann space and some properties of unitary Segal Bargmann transform with applications to differential operators arising out of diffusion problem or of reggeon field theory.Comment: arXiv admin note: text overlap with arXiv:2201.08490 by other author

    Antimicrobial and molecular analysis of Salmonella serovar Livingstone strains isolated from humans in Tunisia and Belgium

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    peer reviewedIntroduction: Salmonella Livingstone is one of the most common serotypes responsible for nosocomial outbreaks in Tunisia. In this study, 42 isolates of Salmonella Livingstone were analyzed. Most of these were isolated from humans (31 strains from Tunisia and 9 strains from Belgium) and 2 isolates came from food products (beef and pork). Methodology: All strains were characterized by antibiogram, multilocus sequence typing (MLST), and virulotyping. This last technique was carried out by simple PCR of five chromosomal genes (agfA, hin/H2, iroB, phoP/Q, and slyA) and two plasmid genes (spvA and spvC). Results: All Tunisian strains were resistant to amoxicillin, amoxicillin-clavulanic acid, ticarcillin, cefalotin, gentamicin, and kanamycin. They were also resistant to third-generation cephalosporin antibiotics (cefotaxim and ceftazidim). Belgian isolates were susceptible to all antibiotics tested. Further to MLST analyses, Tunisian strains belonged to the same sequence type, ST543. For Belgian isolates, eight strains had a ST543 profile, two strains had a ST638 profile, and one strain had a ST457 profile. Analyses of the virulence gene contents showed that strains isolated in different years and from different origins had the same virulence profile. These carried all five chromosomal genes and lacked plasmid-located virulence genes spvA and spvC. Conclusions: A combination of different typing methods showed that the majority of Belgian strains and all Tunisian strains were closely related; they belonged to the same sequence type (ST543) and had the same virulence profile, but different antibiotic resistance profiles depended on the country of origin

    A framework for the sustainable maintenance of permanent runoff management structures in rainfed agriculture under climate change

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    International audienceRainfed agriculture supports a significant share of global food production, balancing water storage with competing demands through runoff management. Human interventions to manage runoff range from temporary practices (e.g., tillage adjustments, crop choice) to permanent structures such as terraces and ditches. While practices are adaptable, structures are less flexible but critical for climate resilience. Their life-cycle comprises design/construction, maintenance, abandonment/destruction, and rehabilitation. Despite extensive research on design, rehabilitation, and abandonment, the description, understanding, and impact of maintenance practices remain understudied. This paper addresses this gap through a configurative review (1954–2024), integrating scattered knowledge. We show that rainfall variability, driven by climate change, accelerates biophysical degradation (e.g., terrace deformation, ditch occlusion), requiring adaptation and knowledge sharing to ensure structural stability and hydrological connectivity. Results highlight how regional inconsistencies in structure names hinder cross-regional comparisons and research consolidation. Our contributions include: (1) a standardized framework for context-specific evaluation of maintenance practices and (2) an assessment of runoff management structure efficiency under climate change. By integrating biophysical durability, socioeconomic feasibility, and adaptive governance, this framework provides stakeholders and academic actors with a common basis for systematically evaluating and improving runoff management. In practice, we urge policymakers and practitioners to adopt proactive, climate-adaptive maintenance, and to incentivize local community involvement for hybridizing traditional knowledge and technical innovation. By integrating maintenance into farming system design and management, these structures may effectively mitigate the impacts of an increasingly unpredictable climate, ensuring long-term resilience and sustainability in rainfed agriculture
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