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Periodic and Ergodic Spectral Problems

5th January 2015 to 26th June 2015

The main objective of the programme is to bring together specialists in periodic, almost- periodic and random problems to discuss recent developments and deep connections between the methods intrinsic for each of these research areas. In the last several years there emerged a number of methods that had originated in one of these topics (e.g. periodic or random operators) but later were successfully used to tackle problems in a parallel area (e.g. almost-periodic). This suggests that these three lines of research have more in common than previously believed, and the interaction between specialists working in each of these areas could lead to a better understanding of ergodic operators and take us closer to solving open problems.

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Random Geometry

12th January 2015 to 3rd July 2015

A new frontier has emerged at the interface between probability, geometry, and analysis, with a central target to produce a coherent theory of the geometry of random structures. The principal question is the following: within a given structure, what is the interplay between randomness and geometry? More precisely, does the geometry appear to be random at every scale (i.e. fractal), or do fluctuations "average out" at sufficiently large scales? Can the global geometry be described by taking a suitable scaling limit that allows for concrete computations?

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Stimulating the interchange of knowledge and ideas between academics from different disciplines and users of modern mathematics such as industry and policy makers, the Turing Gateway facilitates access to experts with highly specialist mathematical knowledge.

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The Isaac Newton Institute is a singularity in the research landscape - scientists from the whole world meet and push the frontiers of science.

Stephanie Widder

Stefanie Widder, University of Vienna

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University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons