205 citations · 746 across the 41 of their papers we have counts for
6 papers · 1 filter
Generalized dynamical phase reduction for stochastic oscillators
Pierre Houzelstein, Peter J. Thomas, Benjamin Lindner +2
Phase reduction is an important tool for studying coupled and driven oscillators. The question of how to generalize phase reduction to stochastic oscillators remains actively debat…
GSE spectra in uni-directional quantum systems
Maram Akila, Boris Gutkin
Generically, spectral statistics of spinless systems with time reversal invariance (TRI) and chaotic dynamics are well described by the Gaussian Orthogonal ensemble (GOE). However,…
Spectral statistics of nearly unidirectional quantum graphs
Maram Akila, Boris Gutkin
The energy levels of a quantum graph with time reversal symmetry and unidirectional classical dynamics are doubly degenerate and obey the spectral statistics of the Gaussian Unitar…
Counting of Sieber-Richter pairs of periodic orbits
Boris Gutkin, Vladimir Al. Osipov
In the framework of the semiclassical approach the universal spectral correlations in the Hamiltonian systems with classical chaotic dynamics can be attributed to the systematic co…
Spectral problem of block-rectangular hierarchical matrices
B. Gutkin, V. Al. Osipov
The spectral problem for matrices with a block-hierarchical structure is often considered in context of the theory of complex systems. In the present article, a new class of matric…
Entropic bounds on semiclassical measures for quantized one-dimensional maps
Boris Gutkin
Quantum ergodicity asserts that almost all infinite sequences of eigenstates of a quantized ergodic system are equidistributed in the phase space. On the other hand, there are migh…