Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators

We establish sharp results on the modulus of continuity of the distribution of the spectral measure for one-frequency Schrodinger operators with Diophantine frequencies in the region of absolutely continuous spectrum. More precisely, we establish 1/2-Holder continuity near almost reducible energies (an essential support of absolutely continuous spectrum). For non-perturbatively small potentials (and for the almost Mathieu operator with subcritical coupling), our results apply for all energies.Comment: 16 page

Alocação de recursos e rentabilidade das pesquisas originadas do Centro Nacional de Pesquisa de Soja.

Desenvolvimento da soja no Brasil; Beneficios gerados pela pesquisa no CNPSo; Propriedades da pesquisa e principais tecnologias geradas.bitstream/item/23241/1/Doc26.pd

Time reparametrization invariance in arbitrary range p-spin models: symmetric versus non-symmetric dynamics

We explore the existence of time reparametrization symmetry in p-spin models. Using the Martin-Siggia-Rose generating functional, we analytically probe the long-time dynamics. We perform a renormalization group analysis where we systematically integrate over short timescale fluctuations. We find three families of stable fixed points and study the symmetry of those fixed points with respect to time reparametrizations. One of those families is composed entirely of symmetric fixed points, which are associated with the low temperature dynamics. The other two families are composed entirely of non-symmetric fixed points. One of these two non-symmetric families corresponds to the high temperature dynamics. Time reparametrization symmetry is a continuous symmetry that is spontaneously broken in the glass state and we argue that this gives rise to the presence of Goldstone modes. We expect the Goldstone modes to determine the properties of fluctuations in the glass state, in particular predicting the presence of dynamical heterogeneity.Comment: v2: Extensively modified to discuss both high temperature (non-symmetric) and low temperature (symmetric) renormalization group fixed points. Now 16 pages with 1 figure. v1: 13 page

Technical efficiency of production in agricultural research: a case study.

We define and model research production at Embrapa, the major Brazilian institution responsible for applied agricultural research in the country. The main theoretical framework we use is data envelopment analysis. We explore the ecoomic interpretation of these models to assess cost and technical efficiencies for the production of agricultural research in Brazil. Efficiency results are then compared with alternative measures defined via a stochastic frontier