d维分数Brown运动在Hlder范数下的泛函连续模

通过估计d维分数Brown运动在Holder范数下的大偏差概率,得到了分数Brown运动的连续模性质．

大偏差与l^p-值Wiener过程在Hlder范数下的泛函连续模

本文在Holder范数生成的强拓扑下,建立了l^2-值Wiener过程的大偏差公式,从而得到了l^2-值与l^p-值Wiener过程在Holder范数下的泛函连续模.

Brownian单在Hlder范数下的泛函Lévy连续模

利用Brownian单在Hlder范数下的大偏差,证明Brownian单在Hlder范数下的泛函Lévy连续模.

多参数Wiener过程的泛函Lévy连续模

讨论多参数Ｗｉｅｎｅｒ过程的连续模，利用大偏差估计得到多参数Ｗｉｅｎｅｒ过程的泛函Ｌéｖｙ连续模定理．

Hydrolysis Mechanism of the NAMI-A-type Antitumor Complex （HL）[trans-RuCl4L（dmso-S）] （L=1-methyl-l,2,4-triazole）

The hydrolysis process of Ru（III） complex （HL）[trans-RuC14L（dmso-S）] （L=l-methyl-l,2,4- triazole and dmso-S=S-dimethyl sulfoxide） （1）, a potential antitumor complex similar to the well-known antitumor agent （Him）[trans-RuC14 （dmso-S）（im）] （NAMI-A, im=imidazole）, was investigated using density functional theory combined with the conductor-like polarizable continuum model approach. Tile structural characteristics and the detailed energy profiles for the hydrolysis processes of this complex were obtained. For the first hydrolysis step, complex 1 has slightly higher barrier energies than the reported anticancer drug NAMI-A, and the result is in accordance with the experimental evidence indicating larger half-life for complex 1. For the second hydrolysis step, the formation of cis-diaqua species is thermodynamic preferred to that of trans isomers. In addition, on the basis of the analysis of electronic characteristics of species in the hydrolysis process, the trend in nucleophilic attack abilities of hydrolysis products by pertinent biomolecules is revealed and predicted.

Inverted Solvatochromic Stokes Shift in GFP-like Chromophores with Extended Conjugation

Chrornophore structures inspired by natural green fluorescent protein （GFP） play an im- portant role in the field of bio-irnaging. In this work, photochemical properties of a new class of GFP-like chromophores are investigated using computational approaches. Thermo- dynamically stable isomers are identified in vacuum and in solvent. Spectral Stokes shifts are computed and compared to experiments. An inverted solvatochromic shift between absorption and emission emerging in this new class of GFP-like chromophores is observed, and attributed to the stabilized charge transfer and inhibited rotational structural reorganization in solvent.

Exact Convergence Rates of Functional Modulus of Continuity of a Wiener Process

Let {W(t),t > 0} be a standard Wiener process and S be the set of Strassen's functions. In this paper we investigate the exact rates of convergence to zero of the variables supp<t<1-h inff∈s sup0<x<1 |(W(t + hx) - W(t))(2hlogh-1)-1/2 - f(x)| and inf0<t<1-h sup0<x<1|(W(t + hx) -W(t))(2hlogh-1)-1/2 - f(x)| for any f ∈ S. As a consequence, a relation between the modulus of non-differentiability and the functional modulus of continuity for a Wiener process is established.

SOME FUNCTIONAL LIMIT THEOREMS FOR THE INFINITE SERIES OF OU PROCESSES

This paper obtains functional modulus of continuity and Strassen's functional LIL of theinfinite series of independent Ornstein-Uhlenbeck processes, which also imply the Levy's exactmodulus of continuity and LIL of this process respectively.