136 citations · 1.4k across the 71 of their papers we have counts for
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cond-mat.dis-nn2019★ 8 cited
From power law to Anderson localization in nonlinear Schrödinger equation with nonlinear randomness
Alexander Iomin
We study the propagation of coherent waves in a nonlinearly-induced random potential, and find regimes of self-organized criticality and other regimes where the nonlinear equivalen…
physics.bio-ph2019★ 11 cited
Richardson diffusion in neurons
Alexander Iomin
The dynamics of an initial wave packed affected by random noise is considered in the framework of a comb model. The model is relevant to a diffusion problem in neurons where the tr…
cond-mat.stat-mech2019★ 9 cited
Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with algebraic power nonlinearity
Alexander V. Milovanov, Alexander Iomin
We report a new result concerning the dynamics of an initially localized wave packet in quantum nonlinear Schrödinger lattices with a disordered potential. A class of nonlinear lat…