1,721,008 research outputs found
Plane-Like Minimizers and Differentiability of the Stable Norm
No full textIn this paper we investigate the strict convexity and the differentiability properties of the stable norm, which corresponds to the homogenized surface tension for a periodic perimeter homogenization problem (in a regular and uniformly elliptic case). We prove that it is always differentiable in totally irrational directions, while in other directions, it is differentiable if and only if the corresponding plane-like minimizers satisfying a strong
Birkhoff property foliate the torus. We also discuss the issue of the uniqueness of the correctors for the corresponding homogenization problem
Representation, relaxation and convexity for variational problems in Wiener spaces
No full textWe show convexity of solutions to a class of convex variational problems in the Gauss and in the Wiener space. An important tool in the proof is a representation formula for integral functionals in this infinite dimensional setting, that extends analogous results valid in the classical Euclidean framework
A. Chambolle. Retours sur la vie. Appréciations et confidences sur les hommes de mon temps. 1912
No full textCrémieux Albert. A. Chambolle. Retours sur la vie. Appréciations et confidences sur les hommes de mon temps. 1912. In: Revue d'histoire moderne et contemporaine, tome 19 N°1, Janvier-Février 1914. pp. 61-62
On the gradient flow of a one-homogeneous functional
No full textWe consider the gradient flow of a one-homogeneous functional, whose dual involves the derivative of a constrained scalar function. We show in this case that the gradient flow is related to a weak, generalized formulation of a Hele–Shaw flow. The equivalence follows from a variational representation, which is a variant of well-known variational representations for the Hele–Shaw problem. As a consequence we get existence and uniqueness of a weak solution to the Hele–Shaw flow. We also obtain an explicit representation for the Total Variation flow in dimension 1, and easily deduce basic qualitative properties,
concerning in particular the “staircasing effect”
A. Chambolle. Retours sur la vie. Appréciations et confidences sur les hommes de mon temps. 1912
No full textCrémieux Albert. A. Chambolle. Retours sur la vie. Appréciations et confidences sur les hommes de mon temps. 1912. In: Revue d'histoire moderne et contemporaine, tome 19 N°1, Janvier-Février 1914. pp. 61-62
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Uniqueness of the Cheeger set of a convex body
No full textWe prove that if C subset of R-N is of class C-2 and uniformly convex, the Cheeger set of C is unique. The Cheeger set of C is the set that minimizes, inside C, the ratio of perimeter over volume
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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