Open Access Publications from the University of California

## Department of Mathematics

There are 92 publications in this collection, published between 1992 and 2020.
Open Access Policy Deposits (91)

### Conformal Ricci flow on asymptotically hyperbolic manifolds

In this article we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi's type curvature derivative estimate for conformal Ricci flow.

### Random Words, Toeplitz Determinants and Integrable Systems. II

This paper, a continuation of math.CO/9909169, connects the analysis of the length of the longest weakly increasing subsequence of inhomogeneous random words to a Riemann-Hilbert problem and an associated system of integrable PDEs. In particular, we show that the Poissonization of the distribution function of this length can be identified as the Jimbo-Miwa-Ueno tau function.

### The -(+) and -(+) constructions for biset functors

In this article we define the \$-_+\$-construction and the \$-^+\$-construction, that was crucial in the theory of canonical induction formulas (see \cite{Boltje1998b}), in the setting of biset functors, thus providing the necessary framework to define and construct canonical induction formulas for representation rings that are most naturally viewed as biset functors. Additionally, this provides a unified approach to the study of a class of functors including the Burnside ring, the monomial Burnside ring and global representation ring.

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