In this paper we study a class of non linear diffusion equations in a Hilbert space X, ∂tμt −∇ · (∇(L ◦ ρt)γ) = 0 in X × (0,+∞), with respect to a log-concave reference probability measure γ. We obtain existence, uniqueness and stability properties, in the framework of gradient flows in spaces of probability measures.

C-V model can self-adapt to the changes of curve topology but requires more iterations and needs more computing time. Graph cuts algorithm is good at getting the global optimum in a short time but not suitable for concave object extraction. To overcome the flaws of these two algorithms, an optimized iteration algorithm has been proposed. First the initial contour is deformed with an improved C-...

Knots in a free-knot spline model are treated as parameters and can be threshold values such as changepoints. Motivated by quadratic splines which only possess continuous first order derivatives, this article investigates the asymptotic properties of a general semiparametric multiplicative hazard model when the relative risk is expressed as a first order continuously differentiable parametric f...

In this paper, we discuss the properties of the hyperfibonacci numbers F [r] n and hyperlucas numbers L [r] n . We investigate the log-concavity (log-convexity) of hyperfibonacci numbers and hyperlucas numbers. For example, we prove that {F [r] n }n≥1 is log-concave. In addition, we also study the log-concavity (log-convexity) of generalized hyperfibonacci numbers and hyperlucas numbers.

The class of componentwise concave copulas is considered, with particular emphasis on its closure under some constructions of copulas (e. g., ordinal sum) and its relations with other classes of copulas characterized by some notions of concavity and/or convexity. Then, a sharp upper bound is given for the L ∞-measure of non-exchangeability for copulas belonging to this class.

systems, t e x t s and grammars, b u t makes t h e concre te cases and examples hard t o f o l l o w . I n f$&t t h e r e a r e o t h e r u n i f o r m t reatments, mentioned below, which are undoubtedly b e t t e r f o r the p a r t i c u l a r cases i n ques t ion . The authors t r e a t neighborhood grammars i n these two chapters. A neighborhood of a ve r t ex i n a t r e e cons i s t s o f...

We model agents’ preferences by cash-invariant concave functionals defined on L∞, and formulate the optimal risk allocation problem as their infimal-convolution. We study the case of agents whose choice functionals are law-invariant with respect to different probability measures and show how, in this case, the value function preserves a desirable dual representation (equivalent to the Fatou pro...

In this note we prove the non-existence of local smoothing in the sense of L 2 for oscillatory integrals with concave phase. We use integration by parts to control remainder terms and use the oscillation at innnity of Bessel functions to reduce the higher dimensional problem to the one-dimensional.

A: Patient with little effort. Top: Volume Controlled Ventilation: airway pressure in cmH2O yellow, constant flow L/min pink. Middle: Pressure controlled ventilation: decelerating Bottom: Esophageal cmH2O. B: high convex negative deflection during trigger and first half of inspiration (blue arrow). the (yellow arrow) slight (green arrow), concave (orange Convex esophageal (grey

Carrier aggregation (CA) is considered to be a potential technology in next generation wireless communications. While boosting system throughput, CA has also put forward challenges to the resource allocation problems. In this paper, we firstly construct the energy efficiency optimization problem and prove that the function is strictly quasi concave. Then we propose a binary search-based power a...