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Phase transitions are involved in phenomena ranging from the
initial stages of the creation of the Universe to the existence of
biological objects. It is natural to as whether any phenomena
analogous to phase transitions are possible in disordered
substances like liquids and glasses. The possibility of such
transitions is still very much a matter of debate. Neither the
nature nor the features of transformations in liquids and glasses
are yet clear, nor is the nature of the order parameters.
Investigations in recent years have shown that transformations in
liquids and glasses lead to a drastic change of their physical
properties and short-range order structure.
Phase transitions are involved in phenomena ranging from the
initial stages of the creation of the Universe to the existence of
biological objects. It is natural to as whether any phenomena
analogous to phase transitions are possible in disordered
substances like liquids and glasses. The possibility of such
transitions is still very much a matter of debate. Neither the
nature nor the features of transformations in liquids and glasses
are yet clear, nor is the nature of the order parameters.
Investigations in recent years have shown that transformations in
liquids and glasses lead to a drastic change of their physical
properties and short-range order structure.
At the intersection between statistical physics and rigorous econometric analysis, this powerful new framework sheds light on how innovation and competition shape the growth and decline of companies and industries. Analyzing various sources of data including a unique micro level database which collects historic data on the sales of more than 3,000 firms and 50,000 products in 20 countries, the authors introduce and test a model of innovation and proportional growth, which relies on minimal assumptions and accounts for the empirically observed regularities. Through a combination of extensive stochastic simulations and statistical tests, the authors investigate to what extent their simple assumptions are falsified by empirically observable facts. Physicists looking for application of their mathematical and modelling skills to relevant economic problems as well as economists interested in the explorative analysis of extensive data sets and in a physics-orientated way of thinking will find this book a key reference.
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