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Type: Text × Subject: localisation ×

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    Anwendung der Infrarotthermografie bei ferkelführenden Sauen
    (Darmstadt : KTBL, 2013) Schmidt, Mariana; Hoffmann, Gundula; Ammon, Christian; Schön, Peter; Manteuffel, Christian; Amon, Thomas
    In der Nutztierpraxis gilt die Rektaltemperatur als einer der wichtigsten Indikatoren für die Tiergesundheit. Die rektale Temperaturmessung ist jedoch zeitaufwendig und erfordert direkten Tierkontakt. Die Infrarotthermografie (IR-Thermografie) stellt hingegen eine nichtinvasive, kontaktlose Methode dar, um die Körpertemperatur zu messen. Ein Versuch an Sauen im Abferkelbereich unter Praxisbedingungen hat gezeigt, dass sich die Körperregionen Auge und Ohrrücken zur Erfassung der Körpertemperatur mittels IR-Thermografie gut eignen. Damit kann die IR-Thermografie einen wesentlichen Beitrag zur gezielten Krankheitsprävention und zur Verbesserung des Tierwohls ferkeIführender Sauen leisten.
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    The parabolic Anderson model on the hypercube
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Avena, Luca; Gün, Onur; Hesse, Marion
    We consider the parabolic Anderson model (PAM) on the n-dimensional hypercube with random i.i.d. potentials. We parametrize time by volume and study the solution at the location of the k-th largest potential. Our main result is that, for a certain class of potential distributions, the solution exhibits a phase transition: for short time scales it behaves like a system without diffusion, whereas, for long time scales the growth is dictated by the principle eigenvalue and the corresponding eigenfunction of the Anderson operator, for which we give precise asymptotics. Moreover, the transition time depends only on the difference between the largest and the k-th largest potential. One of our main motivations in this article is to investigate the mutationselection model of population genetics on a random fitness landscape, which is given by the ratio of the solution of PAM to its total mass, with the field corresponding to the fitness landscape. We show that the phase transition of the solution translates to the mutation-selection model as follows: a population initially concentrated at the site of the k-th best fitness value moves completely to the site of the best fitness on time scales where the transition of growth rates happens. The class of potentials we consider involve the Random Energy Model (REM) of statistical physics which is studied as one of the main examples of a random fitness landscape.
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    The Bouchaud-Anderson model with double-exponential potential
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2017) Muirhead, Stephen; Pymar, Richard; Santos, Renato Soares dos
    The Bouchaud-Anderson model (BAM) is a generalisation of the parabolic Anderson model (PAM) in which the driving simple random walk is replaced by a random walk in an inhomogeneous trapping landscape; the BAM reduces to the PAM in the case of constant traps. In this paper we study the BAM with double-exponential potential. We prove the complete localisation of the model whenever the distribution of the traps is unbounded. This may be contrasted with the case of constant traps (i.e. the PAM), for which it is known that complete localisation fails. This shows that the presence of an inhomogeneous trapping landscape may cause a system of branching particles to exhibit qualitatively distinct concentration behaviour.