@article {2015|1737,
	title = {Algebraic Statistics of Poincar{\'e} Recurrences in a DNA Molecule.},
	journal = {Phys. Rev. Lett.},
	volume = {115},
	year = {2015},
	month = {oct},
	pages = {188104},
	abstract = {<p>The statistics of Poincar{\'e} recurrences is studied for the base-pair breathing dynamics of an all-atom DNA molecule in a realistic aqueous environment with thousands of degrees of freedom. It is found that at least over five decades in time the decay of recurrences is described by an algebraic law with the Poincar{\'e} exponent close to β=1.2. This value is directly related to the correlation decay exponent ν=β-1, which is close to ν\&asymp;0.15 observed in the time resolved Stokes shift experiments. By applying the virial theorem we analyze the chaotic dynamics in polynomial potentials and demonstrate analytically that an exponent β=1.2 is obtained assuming the dominance of dipole-dipole interactions in the relevant DNA dynamics. Molecular dynamics simulations also reveal the presence of strong low frequency noise with the exponent η=1.6. We trace parallels with the chaotic dynamics of symplectic maps with a few degrees of freedom characterized by the Poincar{\'e} exponent β\&sim;1.5.</p>},
	issn = {1079-7114},
	doi = {10.1103/PhysRevLett.115.188104},
	author = {Alexey K Mazur and Shepelyansky, D L}
}
@article {2014|1945,
	title = {Atomic force microscopy study of DNA flexibility on short length scales: Smooth bending versus kinking},
	journal = {Nucleic. Acids. Res.},
	volume = {42},
	year = {2014},
	pages = {14006{\textendash}14012},
	author = {Alexey K Mazur and Mounir Maaloum}
}
@article {2010|1950,
	title = {Anharmonic torsional stiffness of DNA revealed under small external torques},
	journal = {Phys. Rev. Lett.},
	volume = {105},
	year = {2010},
	pages = {018102},
	author = {Alexey K Mazur}
}
@article {2009|1947,
	title = {Analysis of accordion DNA stretching revealed by the gold cluster ruler},
	journal = {Phys. Rev. E},
	volume = {80},
	year = {2009},
	pages = {010901},
	author = {Alexey K Mazur}
}
@article {2008|1808,
	title = {Anomalous diffusion of ions at the surface of hydrated DNA molecule},
	journal = {Europhys. Lett.},
	volume = {82},
	year = {2008},
	pages = {46002},
	author = {Alla Oleinikova and Ivan Brovchenko and Aliaksei Krukau and Alexey K Mazur}
}
@article {1998|1835,
	title = {Accurate DNA dynamics without accurate long range electrostatics},
	journal = {J. Am. Chem. Soc.},
	volume = {120},
	number = {42},
	year = {1998},
	pages = {10928{\textendash}10937},
	author = {Alexey K Mazur}
}
@article {1986,
	title = {Active sites of the endo-beta-1,3-glucanases from Spisula sacchalinensis and Chlyamys albidys},
	journal = {Bioorg. Chem.},
	volume = {12},
	year = {1986},
	pages = {1478{\textendash}1483},
	author = {N. I. Nazarova and Alexey K Mazur and L. A. Elyakova}
}
