Domino Snake Problems on Groups

In this article we study domino snake problems on finitely generated groups. We provide general properties of these problems and introduce new tools for their study. The first is the use of symbolic dynamics to understand the set of all possible snakes. Using this approach we solve many variations of the infinite snake problem including the geodesic snake problem for certain classes of groups. Next, we introduce a notion of embedding that allows us to reduce the decidability of snake problems from one group to another. This notion enable us to establish the undecidability of the infinite snake and ouroboros problems on nilpotent groups for any generating set, given that we add a well-chosen element. Finally, we make use of monadic second order logic to prove that domino snake problems are decidable on virtually free groups for all generating sets.Comment: Accepted to FCT 2023. Comments welcome

Perfectly quilted rectangular snake tilings

AbstractWe introduce a particular form of snake tilings to define picture languages, and relate the obtained family to the recognizable picture languages (as defined by Wang tiles). The correspondence for substitution tilings is even closer, and hence is applicable to the Hilbert curve

A Europe Apart. History and Politics of European Monetary Integration

This book combines history and political analysis of monetary integration in the European Union (EU) and discusses the main consequences of the euro on both member states’ domestic politics and the EU’s institutions and policies. The book is structured in three parts. In part I, historical analysis demonstrates that monetary instability and the need for international coordination in currency affairs emerged before political integration became an option. This suggests that monetary and political integration are convergent processes instead of two interconnected components of the wider European integration. Besides, the history of European monetary integration shows that many policies proposed today to face the euro and European crises had been discussed and tested in the past and that results were strictly connected to the specific conditions of the moment. Such a policy analysis-oriented approach to monetary history permits discussing with a different and innovative perspective the actual problems of monetary integration and the unmasking of misleading views of European integration widely diffused in the political debate since the end of the 2000s. Part II and part III discuss the political dimension of the European Economic and Monetary Union’s (EMU) problems and the impact on member states’ domestic politics. These sections consider themes such as EU institutional transformation, the new EU governance model that emerged due to the crisis, the problematic relationship between European integration and national democracy, and, finally, the role of monetary integration and opposition to the euro in feeding the growing electoral consensus in favour of populist parties. A conclusive chapter summarises the main results of this long-term analysis and answers some research questions anticipated in this book’s introduction about the real nature and consequences of monetary integration

A Europe Apart

This book combines history and political analysis of monetary integration in the European Union (EU) and discusses the main consequences of the euro on both member states' domestic politics and the EU’s institutions and policies

Use of a Behavioral Health Framework to Assess Perceptions of Hurricane Evacuation Support Services in New Orleans, Louisiana

This dissertation presents research conducted during the hurricane seasons of 2017 and 2018 in New Orleans, Louisiana. The research’s purpose was to assess citizen perceptions of evacuation support services offered during mandatory evacuation events. A prospective quantitative survey and qualitative, open-ended, semi-structured interview assessed perceptions. Both research methods were designed and assessed using the constructs of the Health Belief Model, a public health model created to assess perceived barriers, benefits, risks, severity, self-efficacy, and cues to action regarding health programming. Quantitative research yielded 211 surveys, representing opinions of New Orleans residents within 1-km Euclidian distance of an evacuation pick-up marker. Qualitative research yielded 20 interviews detailing perceptions of evacuation support in New Orleans across Evacuspot zones. Quantitative findings found that: social support systems influence decisions to evacuate and influence varies by race; gendered preference for evacuating in New Orleans is higher for males; pet ownership lowers evacuation preference; the elderly have a lower preference for evacuation; disability status does not impact evacuation preference; there is no association found in awareness of evacuation assistance programming by education level, but there is an association by race; there is no association found between homeowners and non-homeowners in self-reported evacuation compliance; and, trust in the City of New Orleans varies significantly by race and education level. Qualitative findings included perceived barriers of pet ownership, finances, age, anxiety, property ownership, traffic, lack of preparedness messaging, low levels of trust in city services, and misunderstanding of programming; perceived benefits of personal comfort; risk perceptions that were influenced by perceptions of city competency; low perceived self-efficacy to use evacuation programming; few local cues to action to utilize programming; and perceptions of severity influenced by x misunderstandings of the Saffir-Simpson scale. Results led to conclusions regarding the current prospective efficacy of City-Assisted Evacuation in New Orleans, and enabled recommendations for improving programming strategies. This research seeks to move evacuation behavior research from vulnerability-factor based research to multi-variable, intersectional, community informed assessment strategies, and contributes to literature on proactive emergency management strategies and expressed preference approach research

International Congress of Mathematicians: 2022 July 6–14: Proceedings of the ICM 2022

Following the long and illustrious tradition of the International Congress of Mathematicians, these proceedings include contributions based on the invited talks that were presented at the Congress in 2022. Published with the support of the International Mathematical Union and edited by Dmitry Beliaev and Stanislav Smirnov, these seven volumes present the most important developments in all fields of mathematics and its applications in the past four years. In particular, they include laudations and presentations of the 2022 Fields Medal winners and of the other prestigious prizes awarded at the Congress. The proceedings of the International Congress of Mathematicians provide an authoritative documentation of contemporary research in all branches of mathematics, and are an indispensable part of every mathematical library