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math.PR2014
Invariant measures of genetic recombination process
Arseniy V. Akopyan, Sergey A. Pirogov, Aleksandr N. Rybko
We construct the non-linear Markov process connected with biological model of bacterial genome recombination. The description of invariant measures of this process gives us the sol…
math-ph2014
Self-interaction model of classical point particle in one-dimension
V. A. Malyshev, S. A. Pirogov
We consider a hamiltonian system on the real line, consisting of real scalar field and point particle with trajectory . The dynamics of this system is defined by the…