We introduce a concept of Simplicity which in a sense corresponds to the reverse direction to the concept of Complexity. Many problems of Asymptotic Geometric Analysis rotate around this notion. We also describe the concept of Concentration and suggest a new direction of possible applications of the Concentration Phenomenon.

The present article applies the method of Geometric Analysis to the study H-type groups satisfying the J condition and finishes the series of works describing the Heisenberg group and the quaternion H-type group. The latter class of H-type groups satisfying the J condition is related to the octonions. The relations between the group structure and the boundary of the corresponding Siegel upper h...

W E are very pleased to introduce this Special Issue of TBME LETTERS on Multiscale Modeling and Analysis in Computational Biology and Medicine. We received an overwhelming response of our Call for Papers for this Special Issue with 243 manuscripts. Considering the significance of research interests in this area of high potential impact, and the large number of worthy manuscripts, we decided to ...

We consider Bayesian nonparametric inference in the right-censoring survival model, where modeling is made at level of hazard rate. derive posterior limiting distributions for linear functionals hazard, and then ‘many’ simultaneously appropriate multiscale spaces. As an application, we Bernstein–von Mises theorems cumulative functions, which lead to asymptotically efficient confidence bands the...

this paper presents, a hybrid method, low-resolution and high-resolution, for persian page segmentation. in the low-resolution page segmentation, a pyramidal image structure is constructed for multiscale analysis and segments document image to a set of regions. by high-resolution page segmentation, by connected components analysis, each region is segmented to homogeneous regions and identifying...