We study scaling limits for d-dimensional Gaussian random walks perturbed by an attractive force toward a certain subspace of R d , especially under the critical situation that the rate functional of the corresponding large deviation principle admits two minimizers. We obtain different type of limits, in a positive recurrent regime, depending on the co-dimension of the subspace and the conditions imposed at the final time under the presence or absence of a wall. The motivation comes from the study of polymers or (1 + 1)-dimensional interfaces with 未-pinning.
Minoru SUZUKI Yuhei NOGUCHIThe running safety of railway vehicles exposed to strong cross winds is evaluated by means of an aerodynamic coefficient obtained from wind tunnel tests. There are many types of section topography along actual railway lines, but the aerodynamic coefficient is sought for seven standard types of structure. Many lines close to the coast or rivers are often flanked by a slope on one side and a bank on the other (half-bank half-cut sections), and sections like this are treated as embankments. However, in sections with a high cut on the downwind side, the lateral aerodynamic force acting on the train is different from that in sections of normal embankments. Therefore, wind tunnel tests were conducted to obtain the aerodynamic coefficient for half-bank half-cut sections.
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