60 citations
- Isaac Newton Institute for Mathematical SciencesGB2 papers
- Observatoire de la Côte d’AzurFR2 papers
- Universidad de SevillaES2 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- Hebrew University of JerusalemIL1 paper
- Imperial College LondonGB1 paper
- Institute for Advanced StudyUS1 paper
- Kyoto UniversityJP1 paper
- Landau Institute for Theoretical PhysicsRU1 paper
- Linköping UniversitySE1 paper
- McGill UniversityCA1 paper
- Semenov Institute of Chemical PhysicsRU1 paper
4 papers
Long-term neuronal behavior caused by two synaptic modification mechanisms
Xi Shen, Philippe De Wilde
We report the first results of simulating the coupling of neuronal, astrocyte, and cerebrovascular activity. It is suggested that the dynamics of the system is different from syste…
Aharonov-Bohm effect for an exciton in a finite width nano-ring
F. Palmero, J. Dorignac, J. C. Eilbeck +1
We study the Aharonov-Bohm effect for an exciton on a nano-ring using a 2D attractive fermionic Hubbard model. We extend previous results obtained for a 1D ring in which only azimu…
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili +1
Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely…
On the principal eigenvalue of a Robin problem with a large parameter
Michael Levitin, Leonid Parnovski
We study the asymptotic behaviour of the principal eigenvalue of a Robin (or generalised Neumann) problem with a large parameter in the boundary condition for the Laplacian in a pi…