Irreducibility Criteria for Local and Global Representations

It is proved that certain types of modular cusp forms generate irreducible automorphic representation of the underlying algebraic group. Analogous archimedean and non-archimedean local statements are also given.Comment: 9 page

Star Unfolding Convex Polyhedra via Quasigeodesic Loops

We extend the notion of star unfolding to be based on a quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron P to a simple (non-overlapping), planar polygon: cut along one shortest path from each vertex of P to Q, and cut all but one segment of Q.Comment: 10 pages, 7 figures. v2 improves the description of cut locus, and adds references. v3 improves two figures and their captions. New version v4 offers a completely different proof of non-overlap in the quasigeodesic loop case, and contains several other substantive improvements. This version is 23 pages long, with 15 figure

Recommendation of RILEM TC 212-ACD: acousticemission and related NDE techniques for crack detectionand damage evaluation in concrete.Test method for damage qualification of reinforced concrete beams by acousticemission

The text presented hereafter is a draft for general consideration

Merging Dirac points and topological phase transitions in the tight-binding model on the generalized honeycomb lattice

Moving, merging and annihilating Dirac points are studied theoretically in the tight-binding model on honeycomb lattice with up-to third-nearest-neighbor hoppings. We obtain a rich phase diagram of the topological phase transitions in the parameter space of direction-dependent hoppings. We obtain the conditions for the three Dirac points to merge and for the tricritical points. We find that only very small third-nearest-neighbor hoppings are enough for the existence of the merging of three-Dirac-points and the tricritical points, if the system is sufficiently anisotropic. The density of states is obtained to be $D(\epsilon) \propto |\epsilon|^{1/3}$ when three Dirac points merge, and $D(\epsilon) \propto |\epsilon|^{1/4}$ at the tricritical points. It is possible to realize these topological phase transitions in the ultracold atoms on the optical lattice, strained monolayer graphene or strained bilayer graphene.Comment: 19 pages, 25 figure

Application of Compressive Wood to the Activity of Making-Things

This is a case study on the application of compressive wood by harnessing its hydrothermal characteristic to the activity of making-things (monozukuli) which could be organized in schools. Sugi (Cryptomeria japonica D. Don)sapwood was used to produce the samples of compressive wood. The density of sugi sapwood after oven-drying was 0.480 g/cm^3, and the compression ratio in the radial direction was set as two-thirds of its initial dimmension. To ascertain the effectiveness of the application of compressive wood to making-things, three trial examples were made to display the entropy elastisity of wood utilized in commpressive processing to the students in an elementary school of Kumamoto City. The students' interest and concern about compressive processing of wood by using its hydrothermal characteristics were investigated by conducting a questionnaire survey among 27 sixth graders. Based upon the feedback received from the students, it is revealed that they could understood the entropy elasticity of wood,the key mechanism of compressive processing, through displaying samples combined with an explanation by using a model of wood cells. Consequently, a very higher valuation and a keen interest in such an advanced technology of wood processing were acknowledged. Almost all of the students expressed their wills to be eager to enjoy this kind of making-things

Dynamics of photogenerated nonequilibrium electronic states in a disordered one-dimensional lattice

The dynamics of photogeneration and pair annihilation of nonequilibrium quasi-particles (photon→A+B→0) in a disordered one-dimensional lattice is examined by numerical simulation. To investigate the nature of the nonequilibrium kinetics of polarons in linear chain materials, the calculation is carried out assuming that every lattice point of randomly disordered lattice can accommodate arbitrary number of particles of the same species. We discuss the time evolution of self-formation of domains during optical pumping and of their decay after discontinuation of pumping