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1	On the Structure of the Domain of a Symmetric Jump-type Dirichlet Form Schilling, René L., Uemura, Toshihiro 16 June 2014 (has links) (PDF) We characterize the structure of the domain of a pure jump-type Dirichlet form which is given by a Beurling–Deny formula. In particular, we obtain su cient conditions in terms of the jumping kernel guaranteeing that the test functions are a core for the Dirichlet form and that the form is a Silverstein extension. As an application we show that for recurrent Dirichlet forms the extended Dirichlet space can be interpreted in a natural way as a homogeneous Dirichlet space. For reflected Dirichlet spaces this leads to a simple purely analytic proof that the active reflected Dirichlet space (in the sense of Chen, Fukushima and Kuwae) coincides with the extended active reflected Dirichlet space. / Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. Dirichlet-Form Silverstein-Erweiterung Dirichlet-Prinzip jump-type Dirichlet form locally shift-bounded kernel Silverstein extension ddc:510 rvk:SA 1075
2	Some Non-Local Boundary-Value Problems and their Relationship to Problems for Loaded Equations Klimova, Elena 17 June 2014 (has links) (PDF) In several mathematical models of physical or technical processes there are non-local boundary-value problems in terms of partial differential equations with integral conditions. In this article we consider hyperbolic differential equations of second order in the rectangle with some integral conditions and their relationship to boundary-value problems for some certain type of loaded equations. / Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. Nicht-lokale Randwertprobleme Integral Kondition Differentialgleichungen Non-local boundary-value problems problems with integral conditions loaded differential equations ddc:510 rvk:SA 1075
3	Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves Luu, Hoang Duc, Chávez , Joseph Páez, Son, Doan Thai, Siegmund, Stefan 19 December 2016 (has links) (PDF) In biochemical networks transient dynamics plays a fundamental role, since the activation of signalling pathways is determined by thresholds encountered during the transition from an initial state (e.g. an initial concentration of a certain protein) to a steady-state. These thresholds can be defined in terms of the inflection points of the stimulus-response curves associated to the activation processes in the biochemical network. In the present work, we present a rigorous discussion as to the suitability of finite-time Lyapunov exponents and metabolic control coefficients for the detection of inflection points of stimulus-response curves with sigmoidal shape. 37N25 Finite-time Lyapunov-Spektrum nichtautonomes dynamisches System sigmoidale Ansprechkurve transiente Dynamik TU Dresden Publikationsfonds 37N25 Finite-time Lyapunov spectrum nonautonomous dynamical system sigmoidal response curve transient dynamics TU Dresden publication fund ddc:570 rvk:SA 1075
4	The Effects of Excluding Coalitions Hiller, Tobias 04 June 2018 (has links) (PDF) One problem in cooperative game theory is to model situations when two players refuse to cooperate (or the problem of quarreling members in coalitions). One example of such exclusions is the coalition statements of parliamentary parties. Other situations in which incompatible players affect the outcome are teams in firms and markets, for example. To model these exclusions in cooperative game theory, the excluded coalitions value ( φE value) was introduced. This value is based on the Shapley value and takes into account that players exclude coalitions with other players. In this article, we deduce some properties of this new value. After some general results, we analyze the apex game that could be interpreted as a team situation and the glove game that models markets where sellers and buyers deal. For team situations, we show that all employees have a common interest for cooperation. On asymmetric markets, excluding coalitions affect the market players of the scarce side to a higher extent. ausgeschlossene Koalitionen Streit φE-Wert Shapley-Wert kooperative Spieltheorie TU Dresden Publikationsfond excluded coalitions quarreling φE value Shapley value cooperative game theory TU Dresden Publishing Fund ddc:510 rvk:SA 1075

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