The workshop "Critical and collective effects in graphs and networks-5" is fifth workshop in the series of conferences organized under the generic title “CCEGN”. Two workshops (CCEGN-2016, and CCEGN-2017) were organized in Moscow (Russian Federation), the third, CCEGN-2018 was in Eindhoven (the Netherlands), the fourth, CCEGN-2019, took place in les Houches (France).
The CCEGN-5 is the satellite conference of the International Congress of Mathematics
The workshop CCEGN-5 (May 16-20, 2022) will be followed by the workshop CCEGN-6 (June 6 - 10, 2022) at the Northeastern University (USA). The corresponding webpage of CCEGN-6 can be found here: https://www.dk-lab.net/ccegn6/. The short delay between CCEGN-5 and CCEGN-6 is caused by lockdown and impossibility to organize CCEGN-5 earlier in 2021.
Network science is a hot and high-impactful area. Critical behavior in topological random networks is under scrutiny in past decade. Many questions dealing with phase transitions in graphs and networks spread nowadays far beyond the pure academic interest and play crucial role in various branches of physics (structure of membranes, formation of cosmic webs), technology (transport optimization, critical properties of electric networks), and life sciences and medicine (epidemic spread, structure of connectome, analysis of genomic and protein networks). Investigation of critical and collective effects in graphs and networks has becoming a new rapidly developing interdisciplinary area, with diverse applications and variety of questions to be asked. One of the most intriguing questions deals with a design of networks of special topology under evolution, when some control parameters are changing. Many-body interactions, beyond the free-field theory, play crucial role in the network statistics. Presence of such interactions is responsible for emergence of phase transitions in complex distributed systems. Particularly, the classical methods of the theory of complex networks are very useful in neurobiology and in medicine, especially in the context of COVID-19 propagation. At length of our workshop, we plan to focus on statistical and dynamic properties of epidemic networks.
The specific subjects of the workshop are devoted to challenging modern research directions. Despite of variety of applications, there are some common methods of studying critical phenomena in graphs and networks, borrowed from the spectral theory, statistical physics, and physics of condensed matter. During the workshop we plan to provide balanced view of applied research and fundamental methods available to test statistical and dynamic characteristics of systems under consideration. In particular, we plan to focus our attention to the following questions:
- Synchronization, spreading and other dynamical processes on networks, including epidemic spread and COVID-19 propagation
- Spectral methods of the network analysis.
- Network entropy, metric structure of random graphs, hyperbolic embedding of random graphs
- Random graphs with quenched disorder, phase transitions, propagation of excitations on graphs and related questions
- Statistical methods in interdisciplinary applications: social and ecological networks, genomic networks, neuroscience
- Dimensional reduction, compression and restoration of big data by neural networks: principles and applications
The workshop is interdisciplinary. The network science is becoming now the “unifying language” for many branches of physics, computer science, mathematics and biology. The same can be said about particular questions dealing with investigation of criticality and collective behavior in generic complex systems. The workshop provides a platform where these two directions, networks and criticality, meet each other with a synergetic effect.
Visa-free entry to the Russian Federation from 01.03.2022 to 01.09.2022 is available only to registered participants of the Congress, including those who plan to participate in satellite events (For more information please see the section "Venue")