Dimensional Reduction for the General Markov Model on Phylogenetic Trees
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-017-0249-6
Abstract: We present a method of dimensional reduction for the general Markov model of sequence evolution on a phylogenetic tree. We show that taking certain linear combinations of the associated random variables (site pattern counts) reduces… read more here.
Keywords: markov model; phylogenetic trees; dimensional reduction; model ... See more keywords
Jarzyski’s Equality and Crooks’ Fluctuation Theorem for General Markov Chains with Application to Decision-Making Systems
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24121731
Abstract: We define common thermodynamic concepts purely within the framework of general Markov chains and derive Jarzynski’s equality and Crooks’ fluctuation theorem in this setup. In particular, we regard the discrete-time case, which leads to an… read more here.
Keywords: equality crooks; general markov; crooks fluctuation; fluctuation theorem ... See more keywords