We prove sharp $$L^p$$ regularity results for a class of generalized Radon transforms families curves in three-dimensional manifold associated with canonical relation fold and blowdown singularities. The proof relies on decoupling inequalities by Wolff Bourgain–Demeter plate decompositions thin neighborhoods cones $$L^2$$ estimates related oscillatory integrals.

BACKGROUND Elevated serum ferritin levels are frequently encountered in clinical situations and once iron overload or inflammation has been ruled out, many cases remain unexplained. Genetic causes of hyperferritinemia associated to early cataract include mutations in the iron responsive element in the 5' untranslated region of the L ferritin mRNA, responsible for the hereditary hyperferritinemi...

A reflective subuniverse in homotopy type theory is an internal version of the notion a localization topology or ∞-categories. Working theory, we give new characterizations following conditions on L: (1) associated L′ L-separated types modality; (2) L (3) lex and (4) cotopological modality. In each case, several necessary sufficient conditions. Our involve various families maps to L, such as L-...

The aim of this paper is to explore the class of intermediate logics between the truth-preserving Lukasiewicz logic L and its degree-preserving companion L≤. From a syntactical point of view, we introduce some families of inference rules (that generalize the explosion rule) that are admissible in L≤ and derivable in L and we characterize the corresponding intermediate logics. From a semantical ...

In this paper we give a characterization for the uniform exponential stability of evolution families {Φ(t, t0)}t≥t0 on R+ that do not have an exponential growth, using the hypothesis that the pairs of function spaces (L1(X), L∞(X)) and (Lp(X), Lq(X)), (p, q) 6= (1,∞), are admissible to the evolution families.

The relationship between the family SH of simple splicing languages, which was recently introduced by A. Mateescu and coauthors, and the family SLT of strictly locally testable languages is clariied by establishing an ascending hierarchy of families fSiH : i ?1g of splicing languages for which SH = S1H and the union of the families is the family SLT. A procedure is given which, for an arbitrary...

Research and Applied Interests: Distribution of zeros and n-level statistics for families of L-functions, especially families of elliptic curves with rank over Q(T ), Random Matrix Theory, Random Graphs, Elliptic Curves, Additive, Analytic, Combinatorial and Computational Number Theory, Probability Theory and Statistics, Benford’s Law, Cryptography, Sabermetrics, Linear Programming and Operatio...

In this paper we will prove the equivalence between L-valued logics and L-indexed families of bivaluated logics. It is also proved that this equivalence can be used as a tool for checking compactness and decidability properties of a L-valued logic.

UNLABELLED We present TreeDom, a web tool for graphically analysing the evolutionary history of domains in multi-domain proteins. Individual domains on the same protein chain may have distinct evolutionary histories, which is important to grasp in order to understand protein function. For instance, it may be important to know whether a domain was duplicated recently or long ago, to know the ori...

Building on recent work by Rosenzweig (1999), this paper re-examines the effect of AFDC benefits on early non-marital childbearing. Unlike most previous work in this area, Rosenzweig finds a statistically significant and quantitatively large positive effect of AFDC benefits. Using data from the Panel Study of Income Dynamics, we replicate Rosenzweig’s analysis and explore the reasons his findin...