Long-standing policy interest in the role of organisations specialised research and experimental development (R&D) raises questions about how these are classified under different institutional sectors contribute to R&D statistics This paper reports on findings pilot data collection conducted 2022. The results show a diverse range specialist ecosystems as well major reporting gaps. ultim...

We consider particle systems in locally compact Abelian groups with particles moving according to a process with symmetric stationary independent increments and undergoing one and two levels of critical branching. We obtain long time fluctuation limits for the occupation time process of the one– and two–level systems. We give complete results for the case of finite variance branching, where the...

We investigate the finite repetition threshold for k-letter alphabets, k ≥ 4, that is the smallest number r for which there exists an infinite r+-free word containing a finite number of r-powers. We show that there exists an infinite Dejean word on a 4-letter alphabet (i.e. a word without factors of exponent more than 7 5 ) containing only two 7 5 -powers. For a 5-letter alphabet, we show that ...