Estimate of the Einstein-Kähler metric on a weakly pseudoconvex domain in ... .
Canonical contact forms on spherical CR manifolds
We construct the CR invariant canonical contact form on scalar positive spherical CR manifold , which is the CR analogue of canonical metric on locally conformally flat manifold constructed by Habermann and Jost. We also construct another canonical contact form on the Kleinian manifold , where is a convex cocompact subgroup of and is the discontinuity domain of . This contact form can be used to prove that is scalar positive (respectively, scalar negative, or scalar vanishing) if and...
Stability of closed characteristics on compact convex hypersurfaces in
The growth rates of digits in the Oppenheim series expansions
Parametric representations of BiHom-Hopf algebras
The main purpose of the present paper is to study representations of BiHom-Hopf algebras. We first introduce the notion of BiHom-Hopf algebras, and then discuss BiHom-type modules, Yetter-Dinfeld modules and Drinfeld doubles with parameters. We get some new -monoidal categories via the category of BiHom-(co)modules and the category of BiHom-Yetter-Drinfeld modules. Finally, we obtain a center construction type theorem on BiHom-Hopf algebras.
Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in
By using a supersymmetric gaussian representation, we transform the averaged Green's function for random walks in random potentials into a 2-point correlation function of a corresponding lattice field theory. We study the resulting lattice field theory using the Witten laplacian formulation. We obtain the asymptotics for the directional Lyapunov exponents.
Quasi Periodic Solutions of Nonlinear Random Schrödinger Equations
Fonction de Correlation pour des Mesures Complexes
We study a class of holomorphic complex measures, which are close in an appropriate sense to a complex Gaussian. We show that these measures can be reduced to a product measure of real Gaussians with the aid of a maximum principle in the complex domain. The formulation of this problem has its origin in the study of a certain class of random Schrödinger operators, for which we show that the expectation value of the Green’s function decays exponentially.
Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence
We construct time quasi-periodic solutions and prove almost global existence for the energy supercritical nonlinear Schrödinger equations on the torus in arbitrary dimensions. The main new ingredient is a selection in the Fourier space. This method is applicable to other nonlinear equations.
On stability of CR-mappings between nilpotent Lie groups of step two.
Nonlinear stability of centered rarefaction waves of the Jin-Xin relaxation model for conservation laws.
Un algorithme de partition d'un produit direct d'ordres totaux en un nombre minimum de chaînes
Cette étude s'inscrit dans un prolongement algorithmique d'un travail de Bruno Leclerc, publié dans cette revue, qui discute de la taille maximum d'une antichaîne dans un produit direct P d'ordres totaux. On y présente un algorithme de partitionnement de P en un nombre minimum de chaînes. Enfin, on décrit brièvement une application à l'extraction de connaissance.
The growth speed of digits in infinite iterated function systems
Let be an infinite iterated function system on [0,1] satisfying the open set condition with the open set (0,1) and let Λ be its attractor. Then to any x ∈ Λ (except at most countably many points) corresponds a unique sequence of integers, called the digit sequence of x, such that . We investigate the growth speed of the digits in a general infinite iterated function system. More precisely, we determine the dimension of the set for any infinite subset B ⊂ ℕ, a question posed by Hirst for continued...
The strength of the projective Martin conjecture
We show that Martin’s conjecture on Π¹₁ functions uniformly -order preserving on a cone implies Π¹₁ Turing Determinacy over ZF + DC. In addition, it is also proved that for n ≥ 0, this conjecture for uniformly degree invariant functions is equivalent over ZFC to -Axiom of Determinacy. As a corollary, the consistency of the conjecture for uniformly degree invariant Π¹₁ functions implies the consistency of the existence of a Woodin cardinal.
Quasi-periodic solutions of nonlinear random Schrödinger equations
Weakly self-avoiding words and a construction of Friedman.
On minimal words with given subword complexity.
Design for motor controller in hybrid electric vehicle based on vector frequency conversion technology.
A class of generalized filled functions for unconstrained global optimization.
Asymptotic stability for a class of nonlinear difference equations.
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