Guido Gentile - Böcker

This book shows how transit assignment models can be used to describe and predict the patterns of network patronage in public transport systems. It provides a fundamental technical tool that can be employed in the process of designing, implementing and evaluating measures and/or policies to improve the current state of transport systems within given financial, technical and social constraints. The book offers a unique methodological contribution to the field of transit assignment because, moving beyond “traditional” models, it describes more evolved variants that can reproduce:• intermodal networks with high- and low-frequency services;• realistic behavioural hypotheses underpinning route choice;• time dependency in frequency-based models; and• assumptions about the knowledge that users have of network conditionsthat are consistent with the present and future level of information that intelligent transport systems (ITS) can provide. The book also considers the practical perspective of practitioners and public transport operators who need to model and manage transit systems; for example, the role of ITS is explained with regard to their potential in data collection for modelling purposes and validation techniques, as well as with regard to the additional data on network patronage and passengers’ preferences that influences the network-management and control strategies implemented. In addition, it explains how the different aspects of network operations can be incorporated in traditional models and identifies the advantages and disadvantages of doing so. Lastly, the book provides practical information on state-of-the-art implementations of the different models and the commercial packages that are currently available for transit modelling. Showcasing original work done under the aegis of the COST Action TU1004 (TransITS), the book provides a broad readership, ranging from Master and PhD students to researchers and from policy makers to practitioners, with a comprehensive tool for understanding transit assignment models.

This book shows how transit assignment models can be used to describe and predict the patterns of network patronage in public transport systems.

Intended for beginners in ergodic theory, this book addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theory. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.

Intended for beginners in ergodic theory, this book addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theory. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.

Il testo mira a fornire un'introduzione ai sistemi dinamici. Il lettore modello è uno studente di un corso di laurea triennale in matematica o fisica, o, più in generale, chiunque disponga delle nozioni che si acquisiscono nella prima metà di tali corsi di studio. In quest'ottica il testo unisce una trattazione matematica rigorosa a un linguaggio matematico accessibile anche a lettori meno esperti, richiamando risultati studiati in insegnamenti precedenti o fornendo gli strumenti necessari per colmare eventuali lacune. Sono comunque trattati estesamente argomenti avanzati che di consuetudine non sono discussi nell'ambito di un insegnamento del primo biennio; in particolare è dato largo spazio alla teoria dei sistemi dinamici in campi che esulano dai programmi tradizionali di meccanica analitica. In questo modo il testo può essere di interesse anche per uno studente di un corso di secondo livello o per un ricercatore con una preparazione di base più solida. I temi trattati sono:teoria fondamentale delle equazioni differenziali ordinarie; analisi qualitativa del moto, con particolare enfasi su sistemi planari e sistemi meccanici conservativi unidimensionali; problema dei due corpi e moti un campo centrale; moti relativi e forze apparenti; proprietà cinematiche e dinamiche dei corpi rigidi. Il testo è corredato di vari esempi illustrativi nonché, alla fine di ogni capitolo, di un ampio numero di esercizi, in gran parte svolti, di carattere sia teorico che pratico, che consentono di approfondire i temi trattati e di comprendere meglio la teoria tramite applicazioni di interesse fisico ed esempi espliciti.