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This fascinating book begins with fundamental definitions and notations of urn models before moving on to stochastic processes and applications of urn models in the field of finance. The Pólya urn model is simple but has rich content and diverse applications because it includes correlations. Applications of Pólya models such as phase transitions in nonlinear Pólya models are studied here, and the relation between temporal correlation and phase transition is also...

This fascinating book begins with fundamental definitions and notations of urn models before moving on to stochastic processes and applications of urn models in the field of finance. The Pólya urn model is simple but has rich content and diverse applications because it includes correlations. Applications of Pólya models such as phase transitions in nonlinear Pólya models are studied here, and the relation between temporal correlation and phase transition is also...