We establish Berry-Esseen bounds and Cramér type large deviations for the eigenvalues of Wigner Hermitian matrices in the bulk and at the edge cases. Similar results are also obtained for covariance matrices.
The mordenite(MOR) nanoparticles(MNPs)with ultra-small crystallites(~30 nm) were synthesized by using tetraethylammonium bromide(TEAB) as structure directing agent at low temperature(403K). The formation of ...The mordenite(MOR) nanoparticles(MNPs)with ultra-small crystallites(~30 nm) were synthesized by using tetraethylammonium bromide(TEAB) as structure directing agent at low temperature(403K). The formation of MNPs was considered to be due to high concentration of TEAB and occurrence of limiting Ostwald ripening at low temperature. The MNPs exhibited not only higher catalytic activity at low temperature for selective catalytic reduction of NOx but also higher catalytic activity and longer lifetime for disproportionation of toluene than conventional MOR(cMOR) bulk crystals.展开更多
基金supported by National Natural Science Foundation of China(Grant No.11171262)the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20130141110076)
文摘We establish Berry-Esseen bounds and Cramér type large deviations for the eigenvalues of Wigner Hermitian matrices in the bulk and at the edge cases. Similar results are also obtained for covariance matrices.
基金supported by the National Natural Science Foundation of China (21533002 and 21571128)the National Excellent Doctoral Dissertation of China (201454)the National Key R&D Program of China (2016YFC0205900)
文摘The mordenite(MOR) nanoparticles(MNPs)with ultra-small crystallites(~30 nm) were synthesized by using tetraethylammonium bromide(TEAB) as structure directing agent at low temperature(403K). The formation of MNPs was considered to be due to high concentration of TEAB and occurrence of limiting Ostwald ripening at low temperature. The MNPs exhibited not only higher catalytic activity at low temperature for selective catalytic reduction of NOx but also higher catalytic activity and longer lifetime for disproportionation of toluene than conventional MOR(cMOR) bulk crystals.