We consider optimal control problems for discrete-time random dynamical systems, finding unique perturbations that provoke maximal responses of statistical properties the system. treat systems whose transfer operator has an $L^2$ kernel, and we (i) infinitesimal perturbation maximising expectation a given observable (ii) spectral gap, hence exponential mixing rate Our are either (a) kernel or (...

There are two ways eukaryotes double number of chromosomes: (1) whole genome duplication (polyploidy), in which all nuclear DNA is replicated, and (2) karyotypic fission (pseudopolyploidy), in which all chromosomes are physically bifurcated. We contrast polyploidy with pseudopolyploidy, highlighting when it is crucial to look at genetic vs. genomic levels. We review history of pseudopolyploidy,...

We reconsider the consequences of the observed violations of Bell’s inequalities. Two common responses to these violations are: (i) the rejection of realism and the retention of locality, and (ii) the rejection of locality and the retention of realism. Here we critique response (i). We argue that locality contains an implicit form of realism, since in a world view that embraces locality, spacet...

We reconsider the consequences of the observed violations of Bell’s inequalities. Two common responses to these violations are: (i) the rejection of realism and the retention of locality, and (ii) the rejection of locality and the retention of realism. Here we critique response (i). We argue that locality contains an implicit form of realism, since in a world view that embraces locality, spacet...

We reconsider the consequences of the observed violations of Bell’s inequalities. Two common responses to these violations are: (i) the rejection of realism and the retention of locality, and (ii) the rejection of locality and the retention of realism. Here we critique response (i). We argue that locality contains an implicit form of realism, since in a world view that embraces locality, spacet...

We reconsider the consequences of the observed violations of Bell’s inequalities. Two common responses to these violations are: (i) the rejection of realism and the retention of locality, and (ii) the rejection of locality and the retention of realism. Here we critique response (i). We argue that locality contains an implicit form of realism, since in a world view that embraces locality, spacet...

We reconsider the consequences of the observed violations of Bell’ s inequalities. Two common responses to these violations are (i) the rejection of realism and the retention of locality and (ii) the rejection of locality and the retention of realism . Here we critique response (i). We argue that locality contains an implicit form of realism, since in a worldview that embraces locality, spaceti...