We study the existence of mild solutions for a class of impulsive fractional partial neutral stochastic integro-differential inclusions with statedependent delay. We assume that the undelayed part generates a solution operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by using the nonlinear alternative of Leray-Schauder type for...

The integration of the exponential of the square of the moment map of the circle action is studied by a direct stationary phase computation and by applying the DuistermaatHeckman formula. Both methods yield two distinct formulas expressing the integral in terms of contributions from the critical set of the square of the moment map. The cohomological pairings on the symplectic quotient, includin...

(Here we really mean the integral over Σ of the form obtained by pulling back ω under the inclusion map). Now suppose we have two such submanifolds, Σ0 and Σ1, which are (smoothly) homotopic. That is, we have a smooth map F : Σ × [0, 1] → M with F |Σ×{i} an immersion describing Σi for i = 0, 1. Then d(F∗ω) is a (k + 1)-form on the (k + 1)-dimensional oriented manifold with boundary Σ × [0, 1], ...

where for simplicity X+ denotes the suspension spectrum of the space obtained from X by adding a disjoint basepoint. One key property of τ(f) is the fact that the composite map f+ ·τ(f) : B+ −→ B+ induces a map on integral homology which is multiplication by the Euler characteristic χ(F ). The purpose of this paper is to construct something like the transfer τ(f) in many cases in which F is not...

State-of-the-art human pose estimation methods are based on heat map representation. In spite of the good performance, the representation has a few issues in nature, such as not differentiable and quantization error. This work shows that a simple integral operation relates and unifies the heat map representation and joint regression, thus avoiding the above issues. It is differentiable, efficie...

M. Brion proved a convexity result for the moment map image of an irreducible subvariety of a compact integral Kähler manifold preserved by the complexification of the Hamiltonian group action. V. Guillemin and R. Sjamaar generalized this result to irreducible subvarieties preserved only by a Borel subgroup. In another direction, L. O’Shea and R. Sjamaar proved a convexity result for the moment...

OBJECTIVES This study was directed at developing spatial 62-lead electrocardiogram (ECG) criteria for classification of counterclockwise (CCW) and clockwise (CW) typical atrial flutter (Fl) in patients with and without structural heart disease. BACKGROUND Electrocardiographic classification of CCW and CW typical atrial Fl is frequently hampered by inaccurate and inconclusive scalar waveform a...

A family of probability measures on the unit ball in R generates a family of generalized Steiner (GS-)points for every convex compact set in R. Such a ”rich” family of probability measures determines a representation of a convex compact set by GS-points. In this way, a representation of a setvalued map with convex compact images is constructed by GS-selections (which are defined by the GS-point...

A connection between the maximum a posteriori (MAP) estimation and the variational formulation based on the minimization of a given variational integral subject to some noise constraints is established in this paper. A MAP estimator which uses a Markov or a maximum entropy random field model for the prior distribution can be viewed as a minimizer of a variational problem. Inspired by the maximu...

We study the pathwise regularity of the map φ 7→ I(φ) = ∫ T 0 〈φ(Xt), dXt〉 where φ is a vector function on R belonging to some Banach space V , X is a stochastic process and the integral is some version of a stochastic integral defined via regularization. A stochastic current is a continuous version of this map, seen as a random element of the topological dual of V . We give sufficient conditio...