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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…
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Keywords:
markov model;
phylogenetic trees;
dimensional reduction;
model ... See more keywords
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Published in 2024 at "Quantitative Finance"
DOI: 10.1080/14697688.2024.2336154
Abstract: We propose an efficient computational method based on continuous-time Markov chain (CTMC) approximation to compute the distributions of the speed and duration of drawdown for general one-dimensional (1D) time-homogeneous Markov processes. We derive linear systems…
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Keywords:
duration drawdown;
general markov;
drawdown general;
markov ... See more keywords
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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…
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Keywords:
equality crooks;
general markov;
crooks fluctuation;
fluctuation theorem ... See more keywords
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Published in 2025 at "Mathematics"
DOI: 10.3390/math13223690
Abstract: This study considers general Markov chains (MCs) with discrete time in an arbitrary phase space. The transition function of the MC generates two operators: T, which acts on the space of measurable functions, and A,…
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Keywords:
general markov;
space;
additive measures;
finitely additive ... See more keywords