1.

Record Nr.

UNISA996217057603316

Autore

Lim Wee Ho

Titolo

An atlas of the global water cycle : based on the IPCC AR4 climate models / / Wee Ho Lim and Michael Roderick

Pubbl/distr/stampa

Canberra, Australian Capital Territory : , : ANU Press, , 2009

ISBN

1-921536-89-6

Descrizione fisica

1 online resource (293 pages) : illustrations, maps; digital, PDF file(s)

Disciplina

551.57810184

Soggetti

Rain and rainfall - Mathematical models

Rain and rainfall

Water-supply - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

1. Introduction --2. Methods --3. Results --4. Discussion.



2.

Record Nr.

UNINA9910483855903321

Autore

Veselić Ivan <1973->

Titolo

Existence and regularity properties of the integrated density of states of random Schrödinger operators / / Ivan Veselić

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer, , [2008]

©2008

ISBN

3-540-72691-8

Edizione

[1st ed. 2008.]

Descrizione fisica

1 online resource (X, 147 p.)

Collana

Lecture notes in mathematics ; ; 1917

Disciplina

515.724

Soggetti

Schrödinger operator

Spectral energy distribution

Quantum theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"1617-9692 (electronic ed.)."

Nota di bibliografia

Includes bibliographical references (pages [113]-138) and index.

Nota di contenuto

Random Operators -- Existence of the Integrated Density of States -- Wegner Estimate -- Wegner’s Original Idea. Rigorous Implementation -- Lipschitz Continuity of the IDS.

Sommario/riassunto

The theory of random Schrödinger operators is devoted to the mathematical analysis of quantum mechanical Hamiltonians modeling disordered solids. Apart from its importance in physics, it is a multifaceted subject in its own right, drawing on ideas and methods from various mathematical disciplines like functional analysis, selfadjoint operators, PDE, stochastic processes and multiscale methods. The present text describes in detail a quantity encoding spectral features of random operators: the integrated density of states or spectral distribution function. Various approaches to the construction of the integrated density of states and the proof of its regularity properties are presented. The setting is general enough to apply to random operators on Riemannian manifolds with a discrete group action. References to and a discussion of other properties of the IDS are included, as are a variety of models beyond those treated in detail here.