We study overgroup lattices in groups of type G2 over finite fields and reduce Shareshians conjecture on D∆-lattices in the G2 case to a smaller question about the number of maximal elements that can be conjugate in such a lattice. Here we establish that, modulo this smaller question, no sufficiently large D∆-lattice is isomorphic to the lattice of overgroups OG(H) in G = G2(q) for any prime po...

Let Γ ⊂ Rs be a lattice, obtained from a module in a totally real algebraic number field. Let G be an axis parallel parallelepiped, and let |G| be a volume of G. In this paper we prove that lim sup |G|→∞ (det Γ#(Γ ∩G)− |G|)/ ln |G| > 0. Thus the known estimate det Γ#(Γ ∩ G) = |G| + O(ln |G|) is exact. We obtain also a similar result for the low discrepancy sequence corresponding to Γ.

By comparing curve length in a manifold and a standard sphere, we prove a local uniform bound for the exponent in the Large Deviation formula that describes the concentration of Brownian bridges to geodesics. Let M be an m-dimensional complete riemannian manifold with distance function d, Ω(M) := C(R0 ,M) the associated space of continuous paths and p ∈M . Let expp denote the exponential map as...

为了解铜陵西湖浮游植物群落结构与水生态健康状况，于2016年9月至2017年7月进行6次调查.结果显示：（1）浮游植物共检出6门88种，总密度变化范围为8.20×105~1.60×108 cells/L，均值为2.19×107cells/L，生物量变化范围为1.34~27.76 mg/L，均值为9.45 mg/L，优势种为铜绿微囊藻（Microcystis aeruginosa）、浮游蓝丝藻（Planktothrix sp.）和微囊藻（Microcystis sp.）；（2） RDA分析表明浮游植物生物量主要受水温、悬浮物、总氮、亚硝态氮和总磷影响；（3）浮游植物隶属于22组功能群，基于功能群的Q指数表明，铜陵西湖水质整体处于“中等”状态，7月水生态状况最差，11月最佳；（4）依据候选参数与环境因子的相关性，最终选定生...

Abstract We construct a family of partially ordered sets (posets) that are q-analogs of the set partition lattice. They are different from the q-analogs proposed by Dowling [5]. One of the important features of these posets is that their Whitney numbers of the first and second kind are just the q-Stirling numbers of the first and second kind, respectively. One member of this family [4] can be c...

The computationally efficient vector quantization for a discrete time source can be performed using lattices over block linear codes or convolutional codes. For high rates (low distortion) and uniform distribution the performance of a multidimensional lattice depends mainly on the normalized second moment (NSM) of the lattice. For relatively low rates (high distortions) and non-uniform distribu...

Permingeatites Cu3Sb1−yGeySe4 (0 ≤ y 0.14) were synthesized by mechanical alloying and hot pressing. The charge-transport parameters (Hall coefficient, carrier concentration, mobility, Lorenz number) thermoelectric properties (electrical conductivity, Seebeck power factor, thermal figure of merit) examined with respect to the Ge doping level. A single permingeatite phase a tetragonal structure ...

It was known that by a duality transformation, interacting bosons at filling factor f = p/q hopping on a lattice can be mapped to interacting vortices hopping on the dual lattice subject to a fluctuating dual ” magnetic field” whose average strength through a dual plaquette is equal to the boson density f = p/q. So the kinetic term of the vortices is the same as the Hofstadter problem of electr...