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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Sharp Lp estimates and size of nodal sets of generalized Steklov eigenfunctions
Steklov-eigenfunctions 尖锐 Lp 估计 节点集
2023/4/13
We prove sharp Lp estimates for the Steklov eigenfunctions on compact manifolds with boundary in terms of their L2 norms on the boundary. We prove it by establishing Lp bounds for the harmonic extensi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Employment effects in China's dual circulation and firm size heterogeneity
中国双重循环 企业规模 异质性 就业效应
2023/4/19
Based on the newly constructed input-output model that distinguishes firm size categories and the structural decomposition analysis method, this study quantitatively calculates the employment effects ...
Finite size scaling for the core of large random hypergraphs
Core random hyper-graph random graph low-density parity-check codes XOR-SAT fi nite size scaling
2015/8/21
The (two) core of an hyper-graph is the maximal collection of hyper-edges within which no vertex appears only once. It is of importance in tasks such as efficiently solving a large linear system over ...
Estimating Hidden Population Size using Respondent-Driven Sampling Data
Respondent-Driven Sampling Data Estimating Hidden Population Size
2012/11/23
Respondent-Driven Sampling (RDS) is an approach to sampling design and inference in hard-to-reach human populations. Typically, a sampling frame is not available, and population members are difficult ...
People born in the Middle East but residing in the Netherlands: Invariant population size estimates and the role of active and passive covariates
Population size estimation capture-Crecapture collapsbility multiple record-systems estimation missing data structural zeros
2012/11/23
Including covariates in loglinear models of population registers improves population size estimates for two reasons. First, it is possible to take heterogeneity of inclusion probabilities over the lev...
Counting independent sets of a fixed size in graphs with a given minimum degree
graphs given minimum degree independent sets Combinatorics
2012/4/16
Galvin showed that for all fixed $\delta$ and sufficiently large $n$, the $n$-vertex graph with minimum degree $\delta$ that admits the most independent sets is the complete bipartite graph $K_{\delta...
Monotonicity in the Sample Size of the Length of Classical Confidence Intervals
Gamma function Location and scale parameters Stochastic monotonicity
2012/3/1
It is proved that the average length of standard confidence intervals for parameters of gamma and normal distributions monotonically decrease with the sample size. The proofs are based on fine propert...
Computational Optimization of Manufacturing Batch Size and Shipment for an Integrated EPQ Model with Scrap
Computational Optimization Manufacturing Batch Size Shipments, EPQ Model Random Scrap Rate Algebraic Approach
2013/1/30
This paper employs mathematical modeling and algebraic approach to derive the optimal manufacturing batch size and number of shipment for a vendor-buyer integrated economic production quantity (EPQ) m...
The size of a hypergraph and its matching number
hypergraph its matching number Combinatorics
2011/9/22
Abstract: More than forty years ago, Erd\H{o}s conjectured that for any T <= N/K, every K-uniform hypergraph on N vertices without T disjoint edges has at most max{\binom{KT-1}{K}, \binom{N}{K} - \bin...
The Size of the Largest Part of Random Weighted Partitions of Large Integers
Random Weighted Partitions Large Integers Probability
2011/9/20
Abstract: For a given sequence of weights (non-negative numbers), we consider partitions of the positive integer n. Each n-partition is selected uniformly at random from the set of all such partitions...
Large deviations for cluster size distributions in a continuous classical many-body system
Classical particle system canonical ensemble equilibrium statistical mechanics dilute system large deviations
2011/9/14
Abstract: An interesting problem in statistical physics is the condensation of classical particles in droplets or clusters when the pair-interaction is given by a stable Lennard-Jones-type potential. ...
A natural lower bound for the size of nodal sets
natural lower bound size of nodal sets Analysis of PDEs
2011/9/14
Abstract: We prove a natural inequality which implies the known lower bounds for the $(n-1)$-dimensional Hausdorff measure of nodal sets for smooth compact manifolds.
Abstract: Every graph of size $q$ (the number of edges) and minimum degree $\delta$ is hamiltonian if $q\le\delta^2+\delta-1$. The result is sharp.
Finite size properties of staggered $U_q[sl(2|1)]$ superspin chains
Finite size properties staggered $U_q[sl(2|1)]$ superspin chains
2011/3/2
Based on the exact solution of the eigenvalue problem for the Uq[sl(2|1)] vertex model
built from alternating 3-dimensional fundamental and dual representations by means of the
algebraic Bethe ansat...
On the base size of a transitive group with solvable point stabilizer
the base size transitive group
2010/11/23
We prove that the base size of a transitive group $G$ with solvable point stabilizer is not greater than $k$ provided the same statement holds for every group of $G$-induced automorphisms of each nona...