Phase transition for the frog model

We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph G. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability 1-p. When an active particle hits a sleeping particle, the latter becomes active. Phase transition results and asymptotic values for critical parameters are presented for Z^d and regular trees

On Technology of Hydraulic Engineering Structures Retaining Walls Production

AbstractThe paper describes the design solution and technology of building retaining walls which belong to a kind of slurry-type wall. Bore pile are used in both the construction designed by the authors and in a slurry-type wall though the difference is that the new technology suggests using recycled steel pipes with timber plates between them. The most important characteristic feature of this retaining wall is that it can resist lateral loading made by ground coats, foundation pit, and all those building and constructions around it. It is easily possible to make such a construction a permanent one

On Technology of Hydraulic Engineering Structures Pile Foundations Production

AbstractThe paper presents aims to provide analysis of non-waste technology of producing piled foundations of hydraulic engineering structures. The authors introduce a complexity of additional technical and technological steps making possible to both diminish the work-load and cut the time required. The paper also describes main stages of the work and points out the main drawbacks of the traditional technology. The authors prove that on condition of proper technique training and experience it is possible to design and produce pile fields characterized by minimal materials consumption thus saving 10-15% of zero circle estimated cost and cutting the time required for construction