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Persistent link: https://www.econbiz.de/10005616111
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results on the rates of convergence or metastability (in the sense of T. Tao). E.g. using this approach we get a simple proof … metastability. If A has a modulus of regularity w.r.t. zerA\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage … (without any compactness or regularity assumption) and give a rate of metastability. …
Persistent link: https://www.econbiz.de/10014501998
This paper models the competition of user networks as a continuous-time Markov process. It presents a dynamic version of the Discrete Choice Analysis with state-dependent choice probabilities. Among other things, we show that the network competition can be characterized by the coexistence of...
Persistent link: https://www.econbiz.de/10010435581
This paper models the competition of user networks as a continuous-time Markov process. It presents a dynamic version of the Discrete Choice Analysis with state-dependent choice probabilities. Among other things, we show that the network competition can be characterized by the coexistence of...
Persistent link: https://www.econbiz.de/10011097469
In this note I introduce some techniques to treat systems in contact with (stochastic) thermal baths. The methods and the level of rigour are those of theoretical physics.
Persistent link: https://www.econbiz.de/10011077830
We obtain error terms on the rate of convergence to Extreme Value Laws, and to the asymptotic Hitting Time Statistics, for a general class of weakly dependent stochastic processes. The dependence of the error terms on the ‘time’ and ‘length’ scales is very explicit. Specialising to data...
Persistent link: https://www.econbiz.de/10011194124
The pinning effect induced by two different types of spatial inhomogeneities on the dynamics and equilibria of a one-spike solution to the one-dimensional Gierer–Meinhardt (GM) activator–inhibitor model of morphogenesis is studied. The first problem that is treated is the shadow problem that...
Persistent link: https://www.econbiz.de/10010870580
The dynamics of the approach to equilibrium of the hydrogen atom is investigated numerically through a Monte Carlo procedure. We show that, before approaching ionization, the hydrogen atom may live in a quasi-equilibrium state, characterized by aging, whose duration increases exponentially as...
Persistent link: https://www.econbiz.de/10010873567
model. The existence of metastability seems to be quite a common phenomenon in fully coupled systems, whose origin could be …
Persistent link: https://www.econbiz.de/10010874227