25 citations · 158 across the 19 of their papers we have counts for
4 papers · 1 filter
Correlations in a weakly interacting two-dimensional random flow
I. V. Kolokolov, V. V. Lebedev, V. M. Parfenyev
We analytically examine fluctuations of vorticity excited by an external random force in two-dimensional fluid. We develop the perturbation theory enabling one to calculate nonline…
Statistical analysis of vortex condensate motion in two-dimensional turbulence
Vladimir Parfenyev
An inverse turbulent cascade in a periodic square box produces a coherent system-sized vortex dipole. We study the statistics of its motion by carrying out direct numerical simulat…
Sum-of-squares bounds on correlation functions in a minimal model of turbulence
Vladimir Parfenyev, Evgeny Mogilevskiy, Gregory Falkovich
We suggest a new computer-assisted approach to the development of turbulence theory. It allows one to impose lower and upper bounds on correlation functions using sum-of-squares po…
Footprints of loop extrusion in statistics of intra-chromosomal distances: an analytically solvable model
Sergey Belan, Vladimir Parfenyev
Active loop extrusion - the process of formation of dynamically growing chromatin loops due to the motor activity of DNA-binding protein complexes - is firmly established mechanism…