6 citations · 10 across the 8 of their papers we have counts for
4 papers · 1 filter
Topological Maps from Signals
Yu. Dabaghian, A. G. Cohn, L. Frank
We discuss the task of reconstructing the topological map of an environment based on the sequences of locations visited by a mobile agent -- this occurs in systems neuroscience, wh…
Complexity of spectral sequences: semiclassical approach
Yu. Dabaghian
It has been long recognized that the task of semiclassical evaluation of quantum spectra for the classically nonintegrable systems is fundamentally more complex than for the classi…
Topological coding in hippocampus
Yu. Dabaghian, A. G. Cohn, L. Frank
The proposed analysis of the currently available experimental results concerning the neural cell activity in the brain area known as hippocampus suggests a particular mechanism of…
Periodic orbit theory and spectral statistics for scaling quantum graphs
Yu. Dabaghian
The explicit solution to the spectral problem of quantum graphs found recently in \cite{Anima}, is used to produce the exact periodic orbit theory description for the probability d…