7,577 research outputs found
Interview with Anthony F. Janson
Anthony F. Janson is a retired professor and former Department Chair for the UNCW Department of Art and Theatre [retired December 2002]. This interview covers his complete life and career. He discusses his relationship with his art historian father, H.W. Janson, including his relationship as son and co-author and editor of the Janson texts on art history. The interview covers Tony's career as a scholar, book editor, author, art museum curator [at Indianapolis Art Museum and North Carolina Art Museum], and as a professor. Throughout, he comments on important artists in history and his philosophy of art history. He also includes stories of his time in the Vietnam War
Interview with Anthony F. Janson
Anthony F. Janson is a retired professor and former Department Chair for the UNCW Department of Art and Theatre [retired December 2002]. This interview covers his complete life and career. He discusses his relationship with his art historian father, H.W. Janson, including his relationship as son and co-author and editor of the Janson texts on art history. The interview covers Tony's career as a scholar, book editor, author, art museum curator [at Indianapolis Art Museum and North Carolina Art Museum], and as a professor. Throughout, he comments on important artists in history and his philosophy of art history. He also includes stories of his time in the Vietnam War
Spectral gap and asymptotics for a family of cocycles of Perron-Frobenius operators
At its core, a dynamical system is a set of things and rules for how they change. In the study of dynamical systems, we often ask questions about long-term or average phenomena: whether or not there is an equilibrium for the system, and if so, how quickly the system approaches that equilibrium. These questions are more challenging in the non-autonomous (or random) setting, where the rules change over time. The main goal of this dissertation is to develop new tools with which to study random dynamical systems, and demonstrate their application in a non-trivial context. We prove a new Perron-Frobenius theorem for cocycles of bounded linear operators which preserve and sometimes contract a cone in a Banach space; this new theorem provides an explicit upper bound for the second-largest Lyapunov exponent of the cocycle, which determines how quickly the system approaches its equilibrium-like state. Using this theorem and other tools (including a new Lasota-Yorke-type inequality for Perron-Frobenius operators for use with a family of maps), we show that a class of cocycles of piecewise linear maps has a Lyapunov spectral gap (hence answering the equilibrium question in the affirmative), and we moreover have an explicit lower bound on the spectral gap. We also prove asymptotics for a family of cocycles arising from a perturbation of a fixed map with two invariant densities; we obtain a linear upper bound for the second-largest Lyapunov exponent, and the bound is sharp, in the sense that there are members of this family of perturbations where the second-largest Lyapunov exponent is linear in the perturbation parameter. The sharpness example is studied through an in-depth determinant-free linear algebra computation for Markov operators.Graduat
On equivariant triangularization of matrix cocycles
The Multiplicative Ergodic Theorem is a powerful tool for studying certain types of dynamical systems, involving real matrix cocycles. It gives a block diagonalization of these cocycles, according to the Lyapunov exponents. We ask if it is always possible to refine the diagonalization to a block upper-triangularization, and if not over the real numbers, then over the complex numbers. After building up to the posing of the question, we prove that there are counterexamples to this statement, and give concrete examples of matrix cocycles which cannot be block [email protected]
Letter from Anthony Brummelkamp to Mrs. G. Groen van Prinsterer
In a letter to Mrs. G. Groen van Prinsterer from Rev. Anthony Brummelkamp, the author is clearing up some statements of Rev. Budding and chiding Rev. Hendrik Scholte for having an arrogant and sharp tone. A foonote to the letter mentions the school operated by Rev. Brummelkamp and Rev. Albertus C. Van Raalte in Arnhem.https://digitalcommons.hope.edu/vrp_1840s/1193/thumbnail.jp
Special Issue: Statistical Properties of Dynamical Systems
International audienceThe study of statistical properties of dynamical systems is a very active direction in modernergodic theory. Roughly speaking, we identify two main themes: the first is to look forprobabilistic features of deterministic dynamical systems; the second is to make the systemitself random by adding noise to the system. The majority of the papers in this issue addressthe first of these themes.The papers by Freitas and Haydn deal with a quantitative study of recurrence for mixingmeasures, by looking respectively at the extreme values statistics and at the statistics ofsuccessive and multiple returns in small sets: in both cases one gets precise estimates on theoccurrence of rare events. Recurrence reflects the dynamical properties of ergodic measures;their geometrical properties are instead captured by multifractal analysis. Iommi and Todddescribe the multifractal structure and the thermodynamic formalism of multimodal mapsby looking at inducing schemes for such maps. The article by Bruin and Van Strien exploresthe detailed structure, in the category of multimodal interval maps, of the level sets ofconstant topological entropy. Perturbations of dynamical systems lead one to construct anddefine open and random systems: in both cases the question of (some sort of stability) isone of the challenges. Demers’s article looks at the persistence of a spectral gap for thetransfer operator associated with the billiard map in the presence of small holes. The paperby Shen and Van Strien studies stochastic stability, in the strong sense, for a class of maps ofthe interval with a neutral fixed point and perturbed with additive noise. Finally the articleby Chen, Hu and Pesin addresses the question of the extent to which one kind of statisticalbehaviour precludes another by showing natural examples of coexistence of hyperbolic andnon-hyperbolic behaviour in dynamics, in particular in smooth conservative systems.Guest EditorsAnthony Quas (University of Victoria, Canada)Sandro Vaienti (University of Toulon and Center ofTheoretical Physics, Luminy, Marseille
Fr. Anthony J. Gittins, C.S.Sp.
Fr. Anthony J. Gittins, C.S.Sp. [b. 1943] was ordained in 1967. He attended the University of Edinburgh from 1968-72 and received a doctorate in Social Anthropology in 1977. Fr. Gittins was a missionary to the Mende people in Sierra Leone from 1972-80. He went on to serve as a professor at the Missionary Institute and as Formation Director in London from 1980-84. He is the Emeritus Professor of Theology and Culture at the Catholic Theological Union in Chicago, Illinois, where he began teaching in 1984. Fr. Gittins has spent over thirty years ministering to homeless women and those leaving prostitution in Chicago, and is the author of several books.https://dsc.duq.edu/sohp/1000/thumbnail.jp
Anthony Grooms, 21st Annual ODU Literary Festival
Anthony Grooms is the author of Ice Poems (Poetry Atlanta Press) and Trouble No More: Stories (LaQuesta Press). Shorter works have appeared in Callaloo, African American Review, and other journals. He has received awards from the City of Atlanta, the State of Georgia, Breadloaf Writers Workshop and the National Endowment for the Arts. In 1996, Trouble No More won the Lillian Smith Award from the Southern Regional Council. Novelist Marita Golden noted that “Grooms writes about the South, civil rights, home folks, black and white people and anything he wants to with more love, humor and finely-honed skill than I have seen in a long time.” The Atlanta Journal-Constitution said, “Groom’s stories take us to the center of the phenomenon (civil rights movement) with an honesty and courage long overdue.” Grooms is an Associate Professor of Creative Writing at Kennesaw State University in Georgia
Distances in positive density sets in Rd
AbstractWe show that for a subset A of Rd with positive upper density, there is an R>0 such that for any r>R, there exist x and y in A with d(x,y)=r. The proof is based on the well-known second moment method in probability
Anthony Swofford & Writers In Community, 39th Annual ODU Literary Festival
Anthony Swofford is the author of the memoir Jarhead as well as a novel Exit A. His writing has appeared in Harper’s, the Guardian, Slate, The New York Times, The Daily Beast, and others. He has taught at the University of Iowa Writers’ Workshop and Lewis and Clark College. His forthcoming book is a biography of Carlos Arredondo, a Gold Star Father and hero of the 2013 marathon bombing in Boston, and he will write an adaptation of this book for HBO Films
- …
