Determinant representation for some transition probabilities in the TASEP with second class particles

We study the transition probabilities for the totally asymmetric simple exclusion process (TASEP) on the infinite integer lattice with a finite, but arbitrary number of first and second class particles. Using the Bethe ansatz we present an explicit expression of these quantities in terms of the Bethe wave function. In a next step it is proved rigorously that this expression can be written in a compact determinantal form for the case where the order of the first and second class particles does not change in time. An independent geometrical approach provides insight into these results and enables us to generalize the determinantal solution to the multi-class TASEP.Comment: Minor revision; journal reference adde

Frugivoria em morcegos (Mammalia, Chiroptera) no Parque Estadual Intervales, sudeste do Brasil

<abstract language="eng">This study was carried out at the Intervales State Park, an Atlantic Rain Forest area in Southeastern Brazil. Bats were monthly mist netted over a full year, and fecal samples were collected for dietary analysis. The seeds found in each sample were identified in the laboratory under a stereoscopic microscope by comparison with seeds taken from ripe fruits collected in the study area. Three hundred and seventy one bats were collected, of which 316 (85.2%) were frugivorous. The total number of fecal samples with seeds and/or pulp was 121. Sturnira lilium (E. Geoffroy, 1810) was the most abundant species in the study area (n = 157 captures) and Solanaceae fruits accounted for 78.5% of the fecal samples with seeds (n = 56). Artibeus fimbriatus Gray, 1838 (n = 21 samples) fed mostly on Cecropiaceae (38%) and Moraceae fruits (24%), and Artibeus lituratus (Olfers, 1818) (n = 7 samples) on Cecropiaceae (57%) and Moraceae (29%). Carollia perspicillata (Linnaeus, 1758) (n = 16 samples) fed mostly on Piperaceae fruits (56,3%), but Solanaceae (31,3%) and Rosaceae seeds (12,5%) were also found in feces. Overall, seeds found in bat feces belong to eight plant families: Solanaceae (n = 67 samples); Cecropiaceae (n = 14); Piperaceae (n = 14); Moraceae (n = 8); Rosaceae (n = 3); Cucurbitaceae (n = 3); Cluseaceae (n = 1), and Araceae (n = 1). The close association of different bat species with fruits of certain plant families and genus may be related to a possible mechanism of resource partitioning that shapes the structure of the community