@article { , title = {Small deviations in L2-norm for Gaussian dependent sequences}, abstract = {Let be a centered Gaussian stationary sequence satisfying some minor regularity condition. We study the asymptotic behavior of its weighted -norm small deviation probabilities. It is shown that whenever using the arguments based on the spectral theory of pseudo-differential operators by M. Birman and M. Solomyak. The constant reflects the dependence structure of in a non-trivial way, and marks the difference with the well-studied case of the i.i.d. sequences.}, doi = {10.1214/16-ECP4708}, eissn = {1083-589X}, issue = {41}, journal = {Electronic Communications in Probablity}, pages = {1-9}, publicationstatus = {Published}, publisher = {Institute of Mathematical Statistics (IMS)}, url = {https://nottingham-repository.worktribe.com/output/1178789}, volume = {21}, year = {2016}, author = {Hong, Seok Young and Lifshits, Mikhail and Nazarov, Alexander} }