In this section we apply a recent striking result of M. Weiss [Wei16] to exhibit examples where the conditions of Theorem 3 are satisfied. As a byproduct we will obtain a proof of Theorem 1.

We prove that the Teichm\"{u}ller space $\mathcal{T}^{<0}(M)$ of negatively curved metrics on a hyperbolic manifold $M$ has nontrivial $i$-th rationa…

By a Lie pair (L,A), we mean an ordinary (non-graded) Lie algebroid (L,[⋅,⋅]L,ρL) over an ordinary (non-graded) smooth manifold M, together with a Lie subalgebroid (A,[⋅,⋅]A,ρA) of L over the same base M.

We study the shifted analogue of the "Lie Poisson" construction for $L_\infty$-algebroids and we prove that any $L_\infty$-algebroid naturally gives …

Z. Chen would like to thank P. Xu and M. Stienon for the useful discussions and suggestions that helped him improving this work. Y.-H. Sheng gives his warmest thanks to L. Hoevenaars, M. Crainic, I. Moerdijk and C. Zhu for their help and useful comm…

Omni-Lie algebroids are generalizations of Alan Weinstein's omni-Lie algebras. A Dirac structure in an omni-Lie algebroid $\dev E\oplus \jet E$ is ne…

This paper is devoted to study the effects arising from imposing a value-at-risk (VaR) constraint in mean-variance portfolio selection problem for an…

We show that the KdV6 equation recently studied in [1,2] is equivalent to the Rosochatius deformation of KdV equation with self-consistent sources (R…

In this paper we introduce an efficient algorithm for identifying conductive objects using induction data derived from eddy currents. Our method cons…

We prove an explicit formula for the dependence of the exponent in the fractal uncertainty principle of Bourgain-Dyatlov on the dimension and on the …

We consider several combinatorial optimization problems which combine the classic shop scheduling problems, namely open shop scheduling or job shop s…

This paper introduces the auxiliary function method (AFM), a novel, fast and simple approach for waveform based earthquake location. From any initial…

In this paper, a new earthquake location method based on the waveform inversion is proposed. As is known to all, the waveform misfit function is very…

Let M be a smooth manifold which is homeomorphic to the n-fold product of S^k, where k is odd. There is an induced homomorphism from the group of dif…

We propose an improved algorithm for counting the number of Hamiltonian cycles in a directed graph. The basic idea of the method is sequential accept…

The notion of free link is a generalized notion of virtual link. In the present paper we define the group of free braids, prove the Alexander theorem…

As a fundamental problem of natural language processing, it is important to measure the distance between different documents. Among the existing meth…

To prove Proposition 3.2 and Theorem 3.3, we essentially follow Ramadoss’s approach [6]. Let L(D1poly) be the (graded) free Lie algebra generated over R by D1poly concentrated in degree 1. In other words, L(D1poly) is the smallest Lie subalgebra of …

The quotient $L/A[-1]$ of a pair $A\hookrightarrow L$ of Lie algebroids is a Lie algebra object in the derived category $D^b(\mathscr{A})$ of the cat…

Throughout this section, (Θ\lx@stackrelΦ→G) denotes a Lie group crossed module, and G⋉Θ its associated Lie 2-group. By (θ\lx@stackrelϕ→g), we denote its corresponding Lie algebra crossed module, and by g⋉θ the semidirect product Lie algebra.

We prove a 2-categorical analogue of a classical result of Drinfeld: there is a one-to-one correspondence between connected, simply-connected Poisson…

In this paper, we propose a numerical method to solve isotropic elliptic equations on point cloud by generalizing the point integral method. The idea…

In this paper, we consider multiple signals sharing same instantaneous frequencies. This kind of data is very common in scientific and engineering pr…

Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with self-consistent sources (CHESCS) is derived. The Lax re…

In this paper, we establish a connection between the recently developed data-driven time-frequency analysis \cite{HS11,HS13-1} and the classical seco…

By signing up you accept our content policy

Already have an account? Sign in

No a member yet? Create an account