Research

Here are some grants and research projects, recent preprints and publications and editorial work of members of our group for international scientific journals.

Grants and Research Projects

GrantProject titlePI / membersyears
FONDECYT 1190204Mathematical challenges for new materialsG. De Nittis2019-2023
FONDECYT 1170008Commutators, dynamical systems, and quantum walksR. Tiedra de Aldecoa2017-2021
Nucleo Mileneo MESCDStochastic Models of Complex and Disordered SystemsA. Ramirez / M. Cabezas, J. Fontbona, D. Remenik, C. Sadel2017-2020
FONDECYT 1161651Linear and non-linear random operators on graphsC. Sadel2016-2020

Recent Preprints and Publications

Author(s)Titleyear
R. Tiedra de AldecoaMourre theory for unitary operators in two Hilbert spaces and quantum walks on trees2020
R. Tiedra de AldecoaStationary scattering theory for unitary operators with an application to quantum walks2020
S. H. Nguyen, Serge Richard, R. Tiedra de AldecoaDiscrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators2019
G. De Nittis, Massimo Moscolari, Serge Richard, R. Tiedra de AldecoaSpectral and scattering theory of one-dimensional coupled photonic crystals2019
V. Bruneau, P. Miranda, D. Parra, N. PopoffEigenvalue and Resonance Asymptotics in perturbed periodically twisted tubes: Twisting versus Bending2019
C. SadelTransfer matrices for discrete Hermitian operators and absolutely continuous spectrum2019
D. Sambou, R. Tiedra de AldecoaQuantum time delay for unitary operators: general theory2019

Editorial work

E. Reyes is co-editor in chief for the Journal of Nonlinear Mathematical Physics