We prove that if $\Gamma$ is a group of polynomial growth, then each delocalized cyclic cocycle on the algebra has representative growth. For cocycle, we thus define higher analogue Lott’s eta invariant and its convergence for invertible differential operators. also use determinant map construction Xie Yu to there well-defined pairing between cocycles $K$-theory classes $C^\*$-algebraic seconda...

Architectural analyses of temperate tree species using a chronological approach suggest that the expression of epicormic branches is closely related to low growth rates in the axes that make up the branching system. Therefore, sole consideration of epicormic criteria may be sufficient to identify trees with low secondary growth levels or with both low primary and secondary growth levels. In a t...

the pathology of spinal cord injury (sci) comprises multiple processes characterized by extensive cell death and glial scar formation, which together limits axonal regeneration. in particular, variations in chronic demyelination of the lesion have been found to be largely independent of injury intensity, suggesting a secondary pathologic origin. this chronic demyelination results in progressive...