The Rabinowitz-Floer homology of a Liouville domain W is the Floer homology of the Rabinowitz free period Hamiltonian action functional associated to a Hamiltonian whose zero energy level is the boundary of W . This invariant has been introduced by K. Cieliebak and U. Frauenfelder and has already found several applications in symplectic topology and in Hamiltonian dynamics. Together with A. Oan...

This thesis represents a quantum chemical treatment of optically detected magnetic resonance (ODMR) spectra of organic molecules excited to the triplet state ( ). The state is invariably of lower energy than the excited singlet ( ) state, derived from the same single-electron transition. The triplet state has three spin sublevels which are split even in the absence of an external magnetic field...

Sufficient conditions for the invariance of evolution problems governed by perturbations (possibly nonlinear) m-accretive operators are provided. The with respect to sublevel sets a constraining functional expressed in terms Dini derivative that functional, outside considered set directions determined operator. An approach non-reflexive Banach spaces is developed and some result improving recen...

In this paper, we propose a method for recommending experts to appropriately answer questions based on social activity analysis media. By analyzing various activities performed media, the user’s interests are identified. Through human relation of users particular interest field and by considering response speed quality user, determine influence user. An expert group is matched content queries u...

In this paper we propose a novel semidefinite programming based method to compute robust domains of attraction for state-constrained perturbed polynomial systems. A domain is set states such that every trajectory starting from it will approach an equilibrium while never violating specified state constraint, regardless the actual perturbation. The semi-definite program constructed by relaxing ge...

We give a full characterization of the range operator which associates, to any initial condition, viscosity solution at time T Hamilton–Jacobi equation with convex Hamiltonian. Our main motivation is be able treat case Hamiltonians no further regularity assumptions. special attention H(p)=|p|, for we provide rather geometrical description by means an interior ball condition on sublevel sets. Fr...

In this paper, we use the resolution of singularities algorithm of [G4] to generalize to arbitrary local fields of characteristic zero the theorems of [G3] on R sublevel set volumes and oscillatory integrals with real phase function. The proofs of these generalizations use various aspects of the resolution of singularities algorithms of [G4] (but for the most part not the actual resolution of s...

We show that geometric inference of a point cloud can be calculated by examining its kernel density estimate with a Gaussian kernel. This allows one to consider kernel density estimates, which are robust to spatial noise, subsampling, and approximate computation in comparison to raw point sets. This is achieved by examining the sublevel sets of the kernel distance, which isomorphically map to s...

Thus Tf(x) is the average of f over a curve ”centered at x”. The condition ∂γ ∂t (x, t) 6= 0 ensures that the averaging is smooth; T doesn’t degenerate into a fractional or singular Radon transform. Our goal will be to prove sharp L estimates for T . In the semitranslationinvariant case, this has been done for real-analytic γ(x, t) by Phong and Stein [PS], and for general γ(x, t) (not just semi...