Bernstein type's concentration inequalities for symmetric Markov processes

Using the method of transportation-information inequality introduced in \cite{GLWY}, we establish Bernstein type's concentration inequalities for empirical means $\frac 1t \int_0^t g(X_s)ds$ where $g$ is a unbounded observable of the symmetric Markov process $(X_t)$. Three approaches are proposed : functional inequalities approach ; Lyapunov function method ; and an approach through the Lipschitzian norm of the solution to the Poisson equation. Several applications and examples are studied

Understanding Religious Tolerance in Yongchang, China

The formation of China is a process of national integration and a fusion of different beliefs. However, under Chairman Mao (1949-1976) and specifically during the Cultural Revolution (1966-1976), people were reeducated to focus on Communism and expel remnants of traditional Chinese culture including the various religions. Although, after the Cultural Revolution, China reinstated its policy of religious freedom, there were still strict laws against religion. Despite such circumstances, Chinese people still practice their religious beliefs. The Yongchang area, located in Gansu Province in the northwest of China is a typical region of Chinese culture. At the same time, compared to other parts of China, the Yongchang area’s historical circumstances and geographical location along the Silk Road and Chinese border in ancient times facilitated the absorption of different religious and ethnic cultures to form a mixed regional religious culture. This thesis, through the perspective of Buddhism, aims to understand how Yongchang supports and/or tolerates multiple religions through both a cultural anthropological and a historical/archaeological perspective by understanding how different religions and local people get along. By understanding how Yongchang supports and/or tolerates multiple religions in one area, it serves as an example to understand the formation of China, the Chinese people’s religious ideas, and the contradictions and compromises between the Chinese government and Chinese people

マルチチャネルスキームと階層的リソーススケジューリングを備えた車両のインターネットのための効率的なブロックチェーンに向けて

電気通信大学202

Analysis on deformation characteristics and energy dissipation of marble under different unloading rates

Ispitivanja oštećenja provodila su se na mramoru kod različitih brzina ograničenja tlaka pri rasterećenju da bi se dobila krivulja promjene energije cijeloga procesa deformacije i oštećenja. S povećanjem brzine rasterećenja, razlike vršnog naprezanja kod oštećenja mramora su se smanjile, razlike ograničenja tlaka su se povećale, omjeri prirasta ograničenja tlaka kod svakog naprezanja su bili manji, a deformacija volumena je bila osjetljivija na promjene ograničenja tlaka kod rasterećenja. Oštećenje kod rasterećenja nastalo je širenjem volumena, i što je veća bila brzina rasterećenja, lakše je dolazilo do oštećenja stijene. S porastom brzine rasterećenja, prirast ukupne apsorbirane energije, prirast elastične energije i prirast disipacije energije smanjili su se u stadiju rasterećenja mramora. Prirast rasipanja energije u postupku rasterećenja bio je pet puta veći od onoga u postupku opterećenja dok je prirast elastične energije pokrivao svega 10 % ukupne akumulirane energije. Postupak rasterećenja pokazao je porast rasipanja energije, a stanje geo-naprezanja stijenske mase odredilo je nivo energije otpuštene u oštećenju.Failure tests were conducted on marble under different unloading confining pressure rates to obtain the energy change curve of whole-process deformation and failure. With increasing unloading rate, the peak stress differences in marble failure were reduced, confining pressure differences in failure increased, the increment ratios of each stress confining pressure were smaller, and the volume deformation was more sensitive to changes in unloading confining pressure. Unloading failure was caused by volume expansion, and the greater the unloading rate was, the easier the rock failure was. With the increasing unloading rate, total absorbed energy increment, elastic energy increment and dissipated energy increment were reduced in the unloading stage of marble. The dissipated energy increment in the unloading process was more than five times that in the loading process, while the elastic energy increment only accounted for 10 % of total stored energy. The unloading process showed increasing dissipated energy, and the geo-stress state of the engineering rock mass determined the level of energy released in failure

Experimental Study of Fast Sealing Airbag in Simulating Tunnel

AbstractAgainst problems in terms of stability, airtightness and so on of current fast sealing airbag, stability and airtightness of fast sealing airbag in simulating tunnel was studied through combining theoretical analysis and experiment. The ideal viton material is finally found after comparing and analyzing heat resistance, flame resistance, wear resistance, hardness and air permeability of different kinds of rubber. Sealing and wind blocking effects of airbags made from selected material are tested in simulating tunnel. Rate of air leakage and changing rate of wind pressure of each kind of rubber are also determined and further verified, with result that both indexes of viton material are the least, respectively only 4.25% and 4.66%