A fractional kinetic process describing the intermediate time behaviour of cellular flows

This paper studies the intermediate time behaviour of a small random perturbation of a periodic cellular flow. Our main result shows that on time scales shorter than the diffusive time scale, the limiting behaviour of trajectories that start close enough to cell boundaries is a fractional kinetic process: A Brownian motion time changed by the local time of an independent Brownian motion. Our proof uses the Freidlin-Wentzell framework, and the key step is to establish an analogous averaging principle on shorter time scales. As a consequence of our main theorem, we obtain a homogenization result for the associated advection-diffusion equation. We show that on intermediate time scales the effective equation is a fractional time PDE that arises in modelling anomalous diffusion

Digital seed morphometry for genotype identification — case study of seeds of excavated (15th century Hungary) and current vinegrape (Vitis v. vinifera) varieties

Abstract Digital seed image analysis of seed remains of three ancient vinegrape samples excavated from 15th-century sites of Hungary was conducted and compared to those of ten currently grown old grapevine varieties. Digital seed images were analysed by Fovea Pro 4.0 computer program, with the final aim to identify the ancient grapevine cultivars with a final genotype reconstruction. Discriminant analysis, XY plot and histogram analyses revealed that seeds of two archaeological samples (11–13) show the closest similarity to the currently grown old vinegrape Vitis v. vinifera cv. ‘Mézesfehér’ (sample 6). Histogram analysis of seed parameter Equiv.Diam. (cm) of the archaeological seed sample ‘Budai vár’ (sample 11) showed diverse multimodal distribution compared to the unimodal distribution of cv. ‘Mézesfehér’ (sample 6), which results indicated that cv. ‘Mézesfehér’ went through a selection through the last five centuries, which narrowed the morphological diversity of this seed character

Grape (Vitis vinifera) seeds from Antiquity and the Middle Ages Excavated in Hungary - LM and SEM analysis

Grape (Vitis vinifera) seed remains were excavated at Roman and Medieval archeological sites in Hungary and analyzed by LM (Light Microscopy) and SEM (Scanning Electron Microscopy). Excavation sites included Budapest (Aquincum; 2nd - 4th CENT. A.D. Hungary) and Keszthely (Fenékpuszta) of the Roman Age (5th CENT. A.D., Hungary); and Gyır (Ece; 11-12th CENT. A.D., Hungary), Debrecen (13th CENT. A.D., Hungary) and the King’s Palace of Árpád Dinasty at the Castle of Buda, Budapest (15th CENT. A.D., Hungary) of the Middle Ages. Ancient seeds were compared to thirty current grape varieties of similar seed size, shape, and morphology (Szabó et al. 2007´). The modern grape variety Vitis vinifera cv. ‘kék bakator’ (syn.:‘Blue Bocca d’Oro’; ‘aranybogyó’) was found most similar in seed morphology to one of the ancient samples (15th CENT. Debrecen, Hungary) which indicates the antiquity of this cultivar

Smoking as a permissive factor of periodontal disease in psoriasis

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