Symbolic dynamics and ergodic theory provide a wealth of analytical tools for studying infinite strings of symbols. Surprisingly, few of these techniques have been adapted for use with finite strings of symbols. In this talk, I will detail the adaptation of two such tools: topological entropy and pressure. Fortuitously, these tools are well adapted to studying DNA sequences and converge under a general model of molecular evolution. Results will be given on the efficacy of applying such techniques to a variety of genomic analysis problems (including short-read intron/exon classification and gene density estimation).
The speaker is a candidate for a tenure-track position in the Mathematics Department. Tea will be served prior to the talk at 1:30pm in Kidder 368. All are welcome.