Random extremal solutions of differential inclusions

Given a Lipschitz continuous multifunction $F$ on ${\mathbb{R}}^{n}$, we construct a probability measure on the set of all solutions to the Cauchy problem $\dot x\in F(x)$ with $x(0)=0$. With probability one, the derivatives of these random solutions take values within the set $ext F(x)$ of extreme points for a.e.~time $t$. This provides an alternative approach in the analysis of solutions to differential inclusions with non-convex right hand side.

The sound of music : sharing song selections between collocated strangers in public urban places

This paper presents Capital Music, a mobile application enabling real-time sharing of song choices with collocated urban dwellers. Due to the real-time, location-based peer-to-peer approach of the application, a user experience study was performed utilising the Wizard of Oz method. The study provides insight into how sharing non-privacy sensitive but personal data in an anonymous way can influence the user experience of people in public urban places. We discuss the findings in relation to how Capital Music influences the process of “cocooning” in public urban places, the practice of designing anonymous interactions between collocated strangers, and how the sharing of song choices can create a sense of commonality between anonymous users in the urban space. The outcomes of this study are relevant for future location-based social networking applications that aim to create interactions between collocated strangers.

Field assessment of avocado rootstock selections for resistance to Phytophthora root rot.

Phytophthora root rot (PRR), caused by P. cinnamomi, is a primary constraint on avocado productivity in Australia. Numerous field trials at sites in northern NSW and southern QLD have demonstrated significant variation in tree health amongst commercial rootstocks and recently selected material, grown under high PRR disease pressure. Selections 'SHSR-02', 'SHSR-04', ungrafted 'Hass' (rooted cuttings from clonal propagation) and the commercial rootstock 'DusaTM' were significantly healthier over time than other rootstocks, many of which died during the course of the trials. 'Reed' was consistently highly susceptible. In many cases superior tree health was associated with increased tree height and trunk girth. The trials also clearly demonstrate the negative impact of Phytophthora root rot on establishment of new avocado production blocks, and the importance of identifying and selecting avocado rootstock material that can withstand high P. cinnamomi disease pressure.

The File Marked "Rita". Selections from the Letters of Herbert Mueller and Rita Klein (1939-1945) 1939-1946

Exchange of letters between Herbert Mueller and Rita Klein after Mueller's emigration to England in 1939; Rita Klein's attempt to obtain divorce; suicide attempt by her husband Leo Klein; correspondence through intermediaries after outbreak of World War II; notice of Rita Klein's deportation to Auschwitz; (translation from original German)

Lipschitz Correspondence between Metric Measure Spaces and Random Distance Matrices

Given a metric space with a Borel probability measure, for each integer N, we obtain a probability distribution on N x N distance matrices by considering the distances between pairs of points in a sample consisting of N points chosen independently from the metric space with respect to the given measure. We show that this gives an asymptotically bi-Lipschitz relation between metric measure spaces and the corresponding distance matrices. This is an effective version of a result of Vershik that metric measure spaces are determined by associated distributions on infinite random matrices.

Using wavelet transform to study the Lipschitz local singular exponent in wall turbulence

In this paper, wavelet,transform is introduced to study the Lipschitz local singular exponent for characterising the local singularity behavior of fluctuating velocity in wall turbulence. I, is found that the local singular exponent is negative when the ejections and sweeps of coherent structures occur in a turbulent boundary layer.

用子波变换研究壁湍流Lipschitz奇异性指数

本文用子波变换研究了描述壁湍流脉动速度局部奇异性行为的Ｌｉｐｓｃｈｉｔｚ奇异性指数，发现在湍流边界层中，猝发和扫掠发生时脉动速度信号的Ｌｉｐｓｃｈｉｔｚ局部奇异性指数为负值·

Maximal L p -regularity for the Laplacian on Lipschitz domains

I.Wood: Maximal Lp-regularity for the Laplacian on Lipschitz domains, Math. Z., 255, 4 (2007), 855-875.

TALLY HORN! ECHOES OF HOOFBEATS AND HAUNTS: RECORDED SELECTIONS FOR HORN AND PIANO

In the 17th and 18th centuries, the European hunting horn was an instrument associated with the thrill of the chase, rustic scenes, and the pageantry of royal hunts. The sound of this horn and the music that evolved from its heritage would inspire composers writing for the modern horn. TALLY HOrn! Echoes of Hoofbeats and Haunts: Recorded Selections for Horn and Piano are two compact discs of works for horn and piano as well as solo horn reflecting this association with the hunt and include additional works of expressive contrast – lyrical pieces and nocturnes. Nine of the pieces reflect the modern horn’s beginnings and they are Abbot’s Alla Caccia, Berge’s Horn-Lokk, Boutry’s Chassacor, Bozza’s En Fôret, Büsser’s La Chasse de St. Hubert, Pessard’s In the Forest, Piantoni’s Air de Chasse, Schmid’s Im Tiefsten Walde, and Vinter’s Hunter’s Moon. By contrast, three of the selections, Gliére’s Nocturne, Strauss’ Nocturno, and Van Ecchaute’s Nachtpoëma are nocturnes that showcase the expressive quality of the horn. In addition, Bush’s Autumn Poem, Bacon’s Song After the Rain, and Webber’s Summer Pastures are included for their lyric qualities and evocations of nature. The largest work of the project is John Williams’s Concerto for Horn. Its five movements feature both hunting horn traits and expressive qualities. Alejandro Hernandez-Valdez and Grace Cho were the two pianists engaged for the recording. The recording engineer was Edward Kelly. The producer was Carlos Rodriquez. The pieces were recorded at the Spencerville Seventh-day Adventist Church sanctuary in Spencerville, Maryland between November 2010 and February 2011.