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Book
v, 78 pages ; 26 cm.
  • * Introduction* Loop measures and renormalized intersection local times* Continuity of intersection local time processes* Loop soup and permanental chaos* Isomorphism Theorem I* Permanental Wick powers* Poisson chaos decomposition, I* Loop soup decomposition of permanental Wick powers* Poisson chaos decomposition, II* Convolutions of regularly varying functions* References.
  • (source: Nielsen Book Data)9781470436957 20170530
Several stochastic processes related to transient Levy processes with potential densities $u(x, y)=u(y-x)$, that need not be symmetric nor bounded on the diagonal, are defined and studied. They are real valued processes on a space of measures $\mathcal{V}$ endowed with a metric $d$. Sufficient conditions are obtained for the continuity of these processes on $(\mathcal{V}, d)$. The processes include $n$-fold self-intersection local times of transient Levy processes and permanental chaoses, which are 'loop soup $n$-fold self-intersection local times' constructed from the loop soup of the Levy process. Loop soups are also used to define permanental Wick powers, which generalizes standard Wick powers, a class of $n$-th order Gaussian chaoses. Dynkin type isomorphism theorems are obtained that relate the various processes. Poisson chaos processes are defined and permanental Wick powers are shown to have a Poisson chaos decomposition. Additional properties of Poisson chaos processes are studied and a martingale extension is obtained for many of the processes described above.
(source: Nielsen Book Data)9781470436957 20170530
Science Library (Li and Ma)
Book
x, 200 pages : illustrations ; 26 cm.
  • * Introduction* Part I. \mathbb{F}-\mathcal{R}ings: Definition of $\mathbb{F}$-$\mathcal{R}$ings* Appendix A* Examples of $\mathbb{F}$-$\mathcal{R}$ings* Appendix B* Geometry* Symmetric geometry* Pro - limits* Vector bundles* Modules* Part II. Generalized Rings: Generalized Rings* Ideals* Primes and spectra* Localization and sheaves* Schemes* Products* Modules and differentials* Appendix C* Bibliography.
  • (source: Nielsen Book Data)9781470423124 20170403
We give two simple generalizations of commutative rings. They form (co)-complete categories, that contain commutative (semi-) rings (e.g. with the usual multiplication ). But they also contains the "integers" (and ), and the "residue fields" (and ), of the real (and complex) numbers. Here is the collection of unit balls, and is the collection of spheres augmented with a . The initial object is "the field with one element" .One generalization, - the "commutative generalized rings", is an axiomatization of finitely generated free modules over a commutative ring, together with the operations of multiplication and contraction. This is the more geometric language: for any we associate its (symmetric) spectrum, , a compact Zariski space, with a sheaf of over it. By glueing such spectra we get generalized schemes , a full sub-category of the locally-generalized-ringed-spaces. For a number field , with the ring of integers , the compatification of is a pro-object , and its points are the valuation-sub- of : .For , we have a (co)-complete abelian category of - modules with enough injectives and projectives. For in , we obtain the - module of Kahler differentials , satisfying all the usual properties. We compute the universal derivation .All these remain true for the second generalization - the "commutative with involution", the axiomatization of the category of finitely generated free -modules with -linear maps, and the operations of composition, direct sum, and taking transpose.This is the more "linear", or K-theoretic language: for , we have its algebraic K-theory spectum: , and for we obtain the sphere spectrum .For a compact valuation we associate a "zeta" function, so that we obtain the usual factor for the p-adic integers , while we get for the real integers .For , we define the category of vector bundles over , by a certain completion of the categories of vector bundles on the finite layers . For a number field , the isomorphism classes of rank vector bundles over are in natural bijection withwhere (resp. ) for real (resp. complex) place of . E.g. for : , and for : .We have the following "commutative" diagram of adjunctions:where is the left adjoint of the forgetfull functor and .We describe the ordinary commutative (semi)- ring associated by the right adjoint functor to the - fold tensor product (resp. ).Its elements are (non-uniquely) represented as , where are finite rooted trees, with maps , and is a bijection of their leaves , and for we have in addition signs.
(source: Nielsen Book Data)9781470423124 20170403
Science Library (Li and Ma)
Book
ix, 128 pages : color illustrations, color maps ; 28 cm
Science Library (Li and Ma)
Book
v, 113 pages ; 26 cm.
  • * Introduction* Kerr-Newman-de-Sitter black holes* The massless charged Dirac equation* The direct scattering problem* Uniqueness results in the inverse scattering problem at fixed energy* The angular equation and partial inverse result* The radial equation: complexification of the angular momentum* Large $z$ asymptotics of the scattering data* The inverse scattering problem* Appendix A. Growth estimate of the eigenvalues $\mu_{kl}(\lambda)$* Appendix B. Limiting Absorption principles and scattering theory for $H_0$ and $H$* Bibliography.
  • (source: Nielsen Book Data)9781470423766 20170530
In this paper, the authors study the direct and inverse scattering theory at fixed energy for massless charged Dirac fields evolving in the exterior region of a Kerr-Newman-de Sitter black hole. In the first part, they establish the existence and asymptotic completeness of time-dependent wave operators associated to our Dirac fields. This leads to the definition of the time-dependent scattering operator that encodes the far-field behavior (with respect to a stationary observer) in the asymptotic regions of the black hole: the event and cosmological horizons. The authors also use the miraculous property (quoting Chandrasekhar)--that the Dirac equation can be separated into radial and angular ordinary differential equations-to make the link between the time-dependent scattering operator and its stationary counterpart. This leads to a nice expression of the scattering matrix at fixed energy in terms of stationary solutions of the system of separated equations. In a second part, the authors use this expression of the scattering matrix to study the uniqueness property in the associated inverse scattering problem at fixed energy. Using essentially the particular form of the angular equation (that can be solved explicitly by Frobenius method) and the Complex Angular Momentum technique on the radial equation, the authors are finally able to determine uniquely the metric of the black hole from the knowledge of the scattering matrix at a fixed energy.
(source: Nielsen Book Data)9781470423766 20170530
Science Library (Li and Ma)
Book
vii, 119 pages ; 26 cm.
Science Library (Li and Ma)
Book
v, 97 pages ; 26 cm.
  • * Introduction* Preliminaries* Semicrossed products by abelian semigroups* Nica-covariant semicrosssed products* Semicrossed products by non-abelian semigroups* Bibliography.
  • (source: Nielsen Book Data)9781470423094 20170530
The authors examine the semicrossed products of a semigroup action by $*$-endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. The authors seek quite general conditions which will allow them to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action. Their analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope for various semicrossed products of (possibly nonselfadjoint) operator algebras by spanning cones and lattice-ordered abelian semigroups.
(source: Nielsen Book Data)9781470423094 20170530
Science Library (Li and Ma)
Book
1 folded sheet (8 pages) : color illustrations ; 22 cm
Science Library (Li and Ma)
Book
v. 139 pages : color illustrations, map ; 22 cm.
Science Library (Li and Ma)
Book
838 pages ; 23 x 29 cm.
Science Library (Li and Ma)
Database topics
American History; Communication and Journalism; Government Information: United States
Journal/Periodical
volumes : maps ; 29 cm
Green Library, Education Library (Cubberley), Science Library (Li and Ma)
Software/Multimedia
1 computer laser optical disc ; 4 3/4 in. + 1 installation disk (3 1/2 in.).
A collection of wildlife-related databases, compiled for the U.S. Geological Survey.
Science Library (Li and Ma)

12. Silvics of North America [1990 - 1991]

Book
2 v. : ill., maps ; 28 cm.
  • v. 1. Conifers
  • v. 2. Hardwoods.
SAL3 (off-campus storage), Science Library (Li and Ma)
Book
v, 130 p. : ill. ; 26 cm.
Green Library, Science Library (Li and Ma)
Book
iv, 285 p. 27 cm.
Green Library, SAL3 (off-campus storage), Science Library (Li and Ma)
Book
v, 158 p. ; 27 cm.
Green Library, Marine Biology Library (Miller), SAL1&2 (on-campus shelving), SAL3 (off-campus storage), Science Library (Li and Ma)