Exponents and bounds for uniform spanning trees in d dimensions

Uniform spanning trees are a statistical model obtained by taking the set of all spanning trees on a given graph (such as a portion of a cubic lattice in d dimensions), with equal probability for each distinct tree. Some properties of such trees can be obtained in terms of the Laplacian matrix on the graph, by using Grassmann integrals. We use this to obtain exact exponents that bound those for the power-law decay of the probability that k distinct branches of the tree pass close to each of two distinct points, as the size of the lattice tends to infinity.Comment: 5 pages. v2: references added. v3: closed form results can be extended slightly (thanks to C. Tanguy). v4: revisions, and a figure adde

Radiation effects on silicon solar cells Third monthly progress report, Mar. 1-31, 1962

Radiation effects on silicon solar cell

Radiation effects on silicon Final report, Jun. 1, 1964 - May 31, 1965

Radiation effects on silicon - degradation of carrier lifetime in N and P type silicon samples exposed to 30 MeV electron irradiatio

Radiation effects on silicon solar cells Fourth monthly progress report, Apr. 1-30, 1962

Radiation effects on silicon solar cell

Radiation effects on silicon second quarterly progress report, sep. 1 - nov. 30, 1964

Electron spin resonance measurements on P-doped silicon - vacancy phosphorus defec

Radiation effects on silicon third quarterly progress report, dec. 1, 1964 - feb. 28, 1965

Radiation effect on silicon - introduction rates of vacancy-phosphorus defect and divacancy in p-type material for solar cell applicatio

Full counting statistics of chaotic cavities with many open channels

Explicit formulas are obtained for all moments and for all cumulants of the electric current through a quantum chaotic cavity attached to two ideal leads, thus providing the full counting statistics for this type of system. The approach is based on random matrix theory, and is valid in the limit when both leads have many open channels. For an arbitrary number of open channels we present the third cumulant and an example of non-linear statistics.Comment: 4 pages, no figures; v2-added references; typos correcte