TRANSPORTATION COST-INFORMATION INEQUALITY FOR A STOCHASTIC HEAT EQUATION DRIVEN BY FRACTIONAL-COLORED NOISE

In this paper,we prove Talagrand’s T2 transportation cost-information inequality for the law of stochastic heat equation driven by Gaussian noise,which is fractional for a time variable with the Hurst index H∈(1/2,1),and is correlated for the spatial variable.The Girsanov theorem for fractional-colored Gaussian noise plays an important role in the proof.

CENTRAL LIMIT THEOREM AND MODERATE DEVIATIONS FOR A CLASS OF SEMILINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

In this paper we prove a central limit theorem and a moderate deviation principle for a class of semilinear stochastic partial differential equations, which contain the stochastic Burgers’ equation and the stochastic reaction-diffusion equation. The weak convergence method plays an important role.

Electrochemically-driven interphase conditioning of magnesium electrode for magnesium sulfur batteries

The earth-abundant magnesium metal is a kind of promising anode material due to its low reduction potential (-2.356V vs. SHE), high volumetric and gravimetric specific capacities of 3882 mAh cm-3 and 2234 mAh g_1 respectively [1]. Moreover, the magnesium anode shows high safety due to the non-dentritic electrodeposition mechanism during cycling, which is related to the strong Mg-Mg bonding and the consequent high energy barrier between the crystal boundaries of different crystal orientation [2].

Long-term outcomes of brainstem arteriovenous malformations after different management modalities: a single-centre experience

Objective The aims of this study are to clarify the long-term outcomes of brainstem arteriovenous malformations(AVMs)after different management modalities.Methods The authors retrospectively reviewed 61 brainstem AVMs in their institution between 2011 and 2017.The rupture risk was represented by annualised haemorrhagic rate.Patients were divided into five groups:conservation,microsurgery,embolisation,stereotactic radiosurgery(SRS)and embolisation+SRS.Neurofunctional outcomes were evaluated by the modified Rankin Scale(mRS).Subgroup analysis was conducted between different management modalities to compare the long-term outcomes in rupture or unruptured cohorts.Results All of 61 brainstem AVMs(12 unruptured and 49 ruptured)were followed up for an average of 4.5 years.The natural annualised rupture risk was 7.3%,and the natural annualised reruptured risk in the ruptured cohort was 8.9%.13 cases were conservative managed and 48 cases underwent intervention(including 6 microsurgery,12 embolisation,21 SRS and 9 embolisation+SRS).In the selection of interventional indication,diffuse nidus were often suggested conservative management(p=0.004)and nidus involving the midbrain were more likely to be recommended for intervention(p=0.034).The risk of subsequent haemorrhage was significantly increased in partial occlusion compared with complete occlusion and conservative management(p<0.001,p=0.036,respectively).In the subgroup analysis,the follow-up mRS scores of different management modalities were similar whether in the rupture cohort(p=0.064)or the unruptured cohort(p=0.391),as well as the haemorrhage-free survival(p=0.145).In the adjusted Bonferroni correction analysis of the ruptured cohort,microsurgery and SRS could significantly improve the obliteration rate compared with conservation(p<0.001,p=0.001,respectively)and SRS may have positive effect on avoiding new-onset neurofunctional deficit compared with microsurgery and embolisation(p=0.003,p=0.003,respectively).Conclusions Intervention has similar neurofunctional outcomes as conservation in these brainstem AVM cohorts.If intervention is adopted,partial obliteration should be avoided because of the high subsequent rupture risk.