Pure Mathematics
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Superstatistics of Blaschke products
(Taylor and Francis, 20150716)We consider a dynamics generated by families of maps whose invariant density depends on a parameter a and where a itself obeys a stochastic or periodic dynamics. For slowly varying a the longterm behaviour of iterates is ... 
Extreme event statistics of daily rainfall: dynamical systems approach
(20160302)We analyse the probability densities of daily rainfall amounts at a variety of locations on Earth. The observed distributions of the amount of rainfall fit well to a qexponential distribution with exponent q close to ... 
ERGODIC OPTIMIZATION IN DYNAMICAL SYSTEMS
(Cambridge University Press (CUP), 2017)Ergodic optimization is the study of problems relating to maximizing orbits, maximizing invariant measures and maximum ergodic averages. An orbit of a dynamical system is called fmaximizing if the time average of the ... 
An isoperimetric inequality for antipodal subsets of the discrete cube
(Elsevier, 2017)We say a family of subsets of {1, 2, . . . , n} is antipodal if it is closed under taking complements. We prove a bestpossible isoperimetric inequality for antipodal families of subsets of {1, 2, . . . , n} (of any ... 
A new method for recognising Suzuki groups
(Elsevier, 20170701)We present a new algorithm for constructive recognition of the Suzuki groups in their natural representations. The algorithm runs in Las Vegas polynomial time given a discrete logarithm oracle. An implementation is available ...