A sparse quadratic T1T1 theorem

We show that any Littlewood--Paley square function $S$ satisfying a minimal local testing condition is dominated by a sparse form, \begin{equation*} \langle (Sf)^2,g \rangle\le C \sum_{I \in \mathscr{S}} \langle \lvert f\rvert\rangle_I^2 \langle \lvert g\rvert\rangle_I \lvert I\rvert . \end{equation*} This implies strong weighted $L^p$ estimates for all $A_p$ weights with sharp dependence on the $A_p$ characteristic. The proof uses random dyadic grids, decomposition in the Haar basis, and a stopping time argument.Comment: 28 pages, 1 figur

On computing the degree of convexity of polyominoes

In this paper we present an algorithm which has as input a convex polyomino P and computes its degree of convexity, de\ufb01ned as the smallest integer k such that any two cells of P can be joined by a monotone path inside P with at most k changes of direction. The algorithm uses space O(m + n) to represent a polyomino P with n rows and m columns, and has time complexity O(min(m, rk)), where r is the number of corners of P. Moreover, the algorithm leads naturally to a decomposition of P into simpler polyominoes

Marinomonas brasilensis sp. nov., isolated from the coral Mussismilia hispida, and reclassification of Marinomonas basaltis as a later heterotypic synonym of Marinomonas communis

A Gram-negative, aerobic bacterium, designated strain R-40503(T), was isolated from mucus of the reef-builder coral Mussismilia hispida, located in the Sao Sebastiao Channel, Sao Paulo, Brazil. Phylogenetic analyses revealed that strain R-40503(T) belongs to the genus Marinomonas. The 16S rRNA gene sequence similarity of R-40503(T) was above 97% with the type strains of Marinomonas vaga, M. basaltis, M. communis and M. pontica, and below 97% with type strains of the other Marinomonas species. Strain R-40503(T) showed less than 35% DNA-DNA hybridization (DDH) with the type strains of the phylogenetically closest Marinomonas species, demonstrating that it should be classified into a novel species. Amplified fragment length polymorphism (AFLP), chemotaxonomic and phenotypic analyses provided further evidence for the proposal of a novel species. Concurrently, a close genomic relationship between M. basaltis and M. communis was observed. The type strains of these two species showed 78% DDH and 63% AFLP pattern similarity. Their phenotypic features were very similar, and their DNA G+C contents were identical (46.3 mol%). Collectively, these data demonstrate unambiguously that Marinomonas basaltis is a later heterotypic synonym of Marinomonas communis. Several phenotypic features can be used to discriminate between Marinomonas species. The novel strain R-40503(T) is clearly distinguishable from its neighbours. For instance, it shows oxidase and urease activity, utilizes L-asparagine and has the fatty acid C(12:1) 3-OH but lacks C(10:0) and C(12:0). The name Marinomonas brasilensis sp. nov. is proposed, with the type strain R-40503(T) (=R-278(T) =LMG 25434(T) =CAIM 1459(T)). The DNA G+C content of strain R-40503(T) is 46.5 mol%

A New ELISA Using the ANANAS Technology Showing High Sensitivity to diagnose the Bovine Rhinotracheitis from Individual Sera to Pooled Milk

Diagnostic tests for veterinary surveillance programs should be efficient, easy to use and, possibly, economical. In this context, classic Enzyme linked ImmunoSorbent Assay (ELISA) remains the most common analytical platform employed for serological analyses. The analysis of pooled samples instead of individual ones is a common procedure that permits to certify, with one single test, entire herds as "disease-free". However, diagnostic tests for pooled samples need to be particularly sensitive, especially when the levels of disease markers are low, as in the case of anti-BoHV1 antibodies in milk as markers of Infectious Bovine Rhinotracheitis (IBR) disease. The avidin-nucleic-acid-nanoassembly (ANANAS) is a novel kind of signal amplification platform for immunodiagnostics based on colloidal poly-avidin nanoparticles that, using model analytes, was shown to strongly increase ELISA test performance as compared to monomeric avidin. Here, for the first time, we applied the ANANAS reagent integration in a real diagnostic context. The monoclonal 1G10 anti-bovine IgG1 antibody was biotinylated and integrated with the ANANAS reagents for indirect IBR diagnosis from pooled milk mimicking tank samples from herds with IBR prevalence between 1 to 8%. The sensitivity and specificity of the ANANAS integrated method was compared to that of a classic test based on the same 1G10 antibody directly linked to horseradish peroxidase, and a commercial IDEXX kit recently introduced in the market. ANANAS integration increased by 5-fold the sensitivity of the 1G10 mAb-based conventional ELISA without loosing specificity. When compared to the commercial kit, the 1G10-ANANAS integrated method was capable to detect the presence of anti-BHV1 antibodies from bulk milk of gE antibody positive animals with 2-fold higher sensitivity and similar specificity. The results demonstrate the potentials of this new amplification technology, which permits improving current classic ELISA sensitivity limits without the need for new hardware investments

L-Convex Polyominoes are Recognizable in Real Time by 2D Cellular Automata

A polyomino is said to be L-convex if any two of its cells are connected by a 4-connected inner path that changes direction at most once. The 2-dimensional language representing such polyominoes has been recently proved to be recognizable by tiling systems by S. Brocchi, A. Frosini, R. Pinzani and S. Rinaldi. In an attempt to compare recognition power of tiling systems and cellular automata, we have proved that this language can be recognized by 2-dimensional cellular automata working on the von Neumann neighborhood in real time. Although the construction uses a characterization of L-convex polyominoes that is similar to the one used for tiling systems, the real time constraint which has no equivalent in terms of tilings requires the use of techniques that are specific to cellular automata

Sharp and optimal inequalities in harmonic analysis

This thesis deals with three topics in Harmonic Analysis: 1. Sharp restriction theory; 2. Sparse domination for square function operators; 3. Two weight theory for the Bergman projection. In the first part we study some sharp inequalities that arise composing a $k$-plane transform with the square of the Fourier extension operator from the paraboloid. We study the sharp form of these inequalities. We compute the optimal constants and characterise maximisers. The second and main part of this thesis develops on sparse domination for square function operators. In particular we derive a sparse domination in form under minimal testing conditions. We called this domination a “quadratic” as it dominates the non-linear operator $(Sf)^2$ rather than $Sf$. This produces optimal weighted estimates for the dominated square functions. We show that a quadratic domination holds also for non-integral square functions associated with a general elliptic operator $L$. This refines and improves the domination in [BFP16] when the operator is a square function. The last part of the thesis studies the Bergman projection $P$ on the complex unit ball $\mathbb{B}^d$ in $\mathbb{C}^d$. We derive sufficient conditions for two weight estimates for $P$ via sparse domination. These conditions are given in terms of “bumped” Orlicz averages of the two weights. On the way, we also derive mixed $B_2$–$B_\infty$ estimates for the Bergman projection on $L^2(\mathbb{B}^d)$

Bürgerschaftliche Initiativen für eine nachhaltige Quartiersentwicklung

In den Städten hat sich eine Vielfalt von Initiativen gebildet, die die Große Transformation als Bottom-up-Prozess begreifen. Welche Ziele verfolgen sie? Wie verstehen sie Partizipation? Wie sind sie organisiert? Auf der Grundlage von Interviews mit den Vertreter_innen von sechs bürgerschaftlichen Quartiersinitiativen in Bonn, Köln und Wuppertal werden hier die wichtigsten Gemeinsamkeiten skizziert. Die Initiativen haben das Potenzial, eine breite, föderal organisierte Bewegung für eine starke Demokratie zu bilden, dafür sollten sie sich aber zum Teil einiger Widersprüche bewusst werden und sich mit Spannungsfeldern auseinandersetzen

Große Transformation im Quartier: zur partizipationsorientierten Quartiersentwicklung

Diese Studie untersucht die Potenziale, die Grenzen und die Strategien eines quartiersbezogenen Bottom-up-Ansatzes der nachhaltigen Transformation. Zuerst werden der theoretische Orientierungsrahmen vertieft und weitere relevante Hintergründe zur urbanen Transformation, Demokratie und Partizipation sowie zu Raum und Quartier geliefert. Im zweiten Teil werden sechs lokale Initiativen in Bonn, Köln und Wuppertal vorgestellt und analytisch verglichen. Beim Vergleich geht es um den räumlichen Kontext (Stadt und Quartier), um die Persönlichkeiten hinter den Initiativen, um die Ziele und die Motivationen, die Strategien, die Partizipation und die Organisationsformen, die Ökonomie und das Verhältnis zu Institutionen und Investoren sowie um ihre transformative Wirksamkeit. Es gibt noch keinen Königsweg für eine partizipative Transformation von Quartieren zur Nachhaltigkeit, deshalb ist es von zentraler Bedeutung, diese als Lernprozess, der sich in Spannungsfeldern bewegt, zu begreifen und zu gestalten. Die drei wichtigsten Spannungsfelder werden in einem dritten Schritt der Expertise analysiert und mögliche Strategien für den Umgang mit ihnen herausgearbeitet.This expertise examines the potentials, the limits and the strategies of a neighborhood-based bottom-up approach to sustainable transformation. First, the theoretical orientation framework is deepened and other relevant backgrounds to urban transformation, democracy and participation as well as space and quarters are provided. In the second part, six local initiatives in Bonn, Cologne and Wuppertal are presented and analytically compared. The comparison deals with the spatial context (city and neighborhood), the personalities behind the initiatives, the goals and the motivations, the strategies, the participation and the forms of organization, the economy and the relationship to institutions and investors as well as the transformative effectiveness. There is still no royal road for a participative transformation of neighborhoods towards sustainability, so it is of central importance to understand this as a learning process and to move in areas of tension. The three most important ones are analyzed in a third step of the expertise and possible strategies for dealing with them are worked out