Introduction to the Replica Theory of Disordered Statistical Systems

Author(s):  
Viktor Dotsenko
Keyword(s):  

This volume contains lectures delivered at the Les Houches Summer School ‘Integrability: from statistical systems to gauge theory’ held in June 2016. The School was focussed on applications of integrability to supersymmetric gauge and string theory, a subject of high and increasing interest in the mathematical and theoretical physics communities over the past decade. Relevant background material was also covered, with lecture series introducing the main concepts and techniques relevant to modern approaches to integrability, conformal field theory, scattering amplitudes, and gauge/string duality. The book will be useful not only to those working directly on integrablility in string and guage theories, but also to researchers in related areas of condensed matter physics and statistical mechanics.


2021 ◽  
Vol 37 (1) ◽  
pp. 161-169
Author(s):  
Dominik Rozkrut ◽  
Olga Świerkot-Strużewska ◽  
Gemma Van Halderen

Never has there been a more exciting time to be an official statistician. The data revolution is responding to the demands of the CoVID-19 pandemic and a complex sustainable development agenda to improve how data is produced and used, to close data gaps to prevent discrimination, to build capacity and data literacy, to modernize data collection systems and to liberate data to promote transparency and accountability. But can all data be liberated in the production and communication of official statistics? This paper explores the UN Fundamental Principles of Official Statistics in the context of eight new and big data sources. The paper concludes each data source can be used for the production of official statistics in adherence with the Fundamental Principles and argues these data sources should be used if National Statistical Systems are to adhere to the first Fundamental Principle of compiling and making available official statistics that honor citizen’s entitlement to public information.


2020 ◽  
Vol 36 ◽  
pp. 15-25
Author(s):  
Ben Kiregyera

Adoption of development agendas at different levels – national, regional, continental, and global level – has led to an unprecedented increase in demand for official statistics. This increase has not only brought to the fore a litany of challenges facing National Statistical Systems (NSSs) in Africa but also it has created opportunities for strengthening statistical production and development. This paper underscores the need for countries to take full advantage of these opportunities and increase investments in statistics, undertake data innovation, and expand and diversify data ecosystems, leveraging on the foundations of the data revolution for sustainable development and in line with current international statistical frameworks. The paper posits that these improvements will not happen coincidentally nor through ad hoc, piecemeal and uncoordinated approaches. Rather they will happen through more systematic, coordinated and multi-sectoral approaches to statistical development. The National Strategy for the Development of Statistics (NSDS) is presented as a comprehensive and robust framework for building statistical capacity and turning around NSSs in African countries. The paper unpacks the NSDS; elaborates the NSDS processes including; mainstreaming sectors into the NSDS, the stages of the NSDS lifecycle and the role of leadership in the NSDS proces; highlights NSDS extension; presents the design and implementation challenges, and the key lessons learned from the NSDS processes in Africa in the last 15 years or so.


2011 ◽  
Vol 26 (1-2) ◽  
pp. 67-83 ◽  
Author(s):  
Rabih Zbib ◽  
Michael Kayser ◽  
Spyros Matsoukas ◽  
John Makhoul ◽  
Hazem Nader ◽  
...  

2014 ◽  
Vol 17 (03n04) ◽  
pp. 1450016 ◽  
Author(s):  
V. I. YUKALOV ◽  
D. SORNETTE

The idea is advanced that self-organization in complex systems can be treated as decision making (as it is performed by humans) and, vice versa, decision making is nothing but a kind of self-organization in the decision maker nervous systems. A mathematical formulation is suggested based on the definition of probabilities of system states, whose particular cases characterize the probabilities of structures, patterns, scenarios, or prospects. In this general framework, it is shown that the mathematical structures of self-organization and of decision making are identical. This makes it clear how self-organization can be seen as an endogenous decision making process and, reciprocally, decision making occurs via an endogenous self-organization. The approach is illustrated by phase transitions in large statistical systems, crossovers in small statistical systems, evolutions and revolutions in social and biological systems, structural self-organization in dynamical systems, and by the probabilistic formulation of classical and behavioral decision theories. In all these cases, self-organization is described as the process of evaluating the probabilities of macroscopic states or prospects in the search for a state with the largest probability. The general way of deriving the probability measure for classical systems is the principle of minimal information, that is, the conditional entropy maximization under given constraints. Behavioral biases of decision makers can be characterized in the same way as analogous to quantum fluctuations in natural systems.


Sign in / Sign up

Export Citation Format

Share Document