Workshop: Random Dynamics and Other Recent Developments

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This is an application for partial funding for a 5-day research workshop in probability entitled Random Dynamics and Other Recent Developments, to be held at the University of Sheffield in April 2018. The meeting will benefit UK mathematics by stimulating interactions between UK and international experts on the latest developments and future research directions within probability. Particular emphases is placed on the participation of female academics and early career researchers.The UK is recognized globally as a leading center for research in probability, but there is a constant need to keep abreast of international developments. Our workshop focuses on the inter-related themes of random geometry, random reinforced processes and stochastic dynamical systems. All three of these areas have seen intense recent activity within the international probability community, both for their theoretical significance and for their importance in applications such as data science, social networks and machine learning.The workshop is centered around three mini-courses, given by internationally distinguished researchers, corresponding to the three themes mentioned above. The mini-courses will be complemented by invited individual talks from leading researchers, alongside opportunities for PhD students and early career researchers to give contributed talks or present at a poster session. Additionally, the proposed schedule of the workshop contains time set aside on each day for break-out sessions and discussion groups, to facilitate exploration of new research directions and to support the formation of new collaborations.