Fronts from complex two-dimensional dispersal kernels: theory and application to Reid's paradox

Bimodal dispersal probability distributions with characteristic distances differing by several orders of magnitude have been derived and favorably compared to observations by Nathan [Nature (London) 418, 409 (2002)]. For such bimodal kernels, we show that two-dimensional molecular dynamics computer simulations are unable to yield accurate front speeds. Analytically, the usual continuous-space random walks (CSRWs) are applied to two dimensions. We also introduce discrete-space random walks and use them to check the CSRW results (because of the inefficiency of the numerical simulations). The physical results reported are shown to predict front speeds high enough to possibly explain Reid's paradox of rapid tree migration. We also show that, for a time-ordered evolution equation, fronts are always slower in two dimensions than in one dimension and that this difference is important both for unimodal and for bimodal kernels

La catedral i Girona: l' entrada del complex episcopal dins murs entre els segles X-XI

Fins a la darreria del segle VIII, el complex episcopal gironí se situava fora murs, al voltant de l'església martirial de Sant Feliu; a principis del segle IX, el complex es desdoblà amb la consagració d'una segona església episcopal, Santa Maria, dins murs, raó per la qual la seu fou coneguda, al llarg d'aquella centúria, amb la doble advocació de Santa Maria i Sant Feliu. Al llarg del segle X, s'afermà la preeminència de Santa Maria fins al punt que, en l'últim terç del segle. Sant Feliu ja no és esmentada com a seu episcopal, encara que hi continuà vinculada com a una església dependent, sense personalitat ni administració pròpia. Des de final del segle, el procés s'accelerà amb la construcció d'una nova església catedral a Santa Maria, que complementà l'aixecament d'un nou complex episcopal dins murs, en gran part culminat a mitjan segle XI i format per xenodoquium, catedral, palau episcopal i conjunt canonical, a banda de noves residències de canonges i altres clergues en el seu entorn. Aquests fets significaren la consolidació de Santa Maria com a seu única, però també la profunda remodelació urbanística d'un sector significatiu de la ciutat, prop d'un 20% del total, expressió del nou domini del bisbe i dels clergues sobre la 'seva ciutat'

Anàlisi geomètrica del Diaclasat de les Guilleries en el sector de la Vall del Ter entre els embassaments del Pasteral i Susqueda (Girona)

The Guilleries are a small and mountainous area located in the north-westem part of the Catalonian Coastal Ranges where metamorphic and igneous Paleozoic rocks are exposed. After the main hercynian folding this area was affected by a brittle deformation that is mainly manifested by the intrusion of a very large number of dykes of granodiorite and the development of a complex joint system. Trends of dykes indicate that their intrusion was related to a SE-NW extension, whose estimated value is 40% on an average. This extension seems to stand, although without any associated igneous event, with the development of NE-SW directed joints which make the main set. Five families more were developed later, one gently-dipping and fou upright; the latter trending roughly SE-NW, ENE-WSW, ESE-WNW and N-S. AU the joint sets appear in the metasedimentary Paleozoic rocks and in the hercynian intrusive bodies. Concerning the ages, joints that belong to the NE-SW and SE-NW directed sets and also those slightly dipping have been attributed to the late-hercynian times and all the other are considered to be later