The lecture by David B. Saakian from Alikhanyan National Science Laboratory (Yerevan Physics Institute) will take place at the Complexity Science Hub Vienna.
Infinite and finite population models on fluctuating landscape and the Wright-Fisher model in case of fluctuating landscape and calculate the fixation probability are being considered. Mutator models with asymmetric transition rates (a model with two landscape) were examined. Subsequently, the Crow-Kimura model with random transitions between two landscapes was evaluated. The evolutionary dynamics on fluctuating landscape is as a complex phenomenon as the information thermodynamics, describing the Maxwell demon model. It is assumed, that information thermodynamics should appear in any advanced enough complex phenomenon (evolution, economics, neuroscience, artificial intelligence), as an adequate mathematical language.
David Saakian graduated Moscow Engineering Physics Institute in 1977. He has done his PHD thesis in the Moscow Lebedev Institute (FIAN), working with Russian academicians Igor Sobelman, Boris Zeldovich, Yakov Zeldovich. After defending the thesis in 1980 he moved to Yerevan physics institute, where he works till now. In 2002-2017 he was working as a scholar, professor scholar in Institute of Physics of Academia Sinica.
In 1992 he mapped exactly the Shannon optimal coding theory to Random Energy model by Derrida. In 2006 he solved exactly Eigen model of evolution. In 2009 he exactly mapped the string theory to Random Energy model. In 2011 he solved exactly the multifractal random walk model by Backry-Muzy. In 2017 he solved exactly hidden Markov models. In 2018 he solved exactly the product problem of correlated random matrices.
He currently works in evolutionary dynamics, looking common modelling, and concepts between evolutionary dynamics, Artifical intelligence, Neuroscience and information thermodynamics.