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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Top-heaviness of lower Bruhat intervals
较低 Bruhat区间 顶部厚重感
2023/11/13
Bjorner and Ekedahl (Ann. of math., 2008) proved that lower Bruhat intervals of crystallographic Coxeter groups are top-heavy using Hodge theory. Using Soergel bimodules and their Hodge theory establi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Asymptotic log-concavity of dominant lower Bruhat intervals
显性 Bruhat区间 渐近对数凹性
2023/11/13
The unimodality of lower Bruhat intervals for the “upper half” remains as an open problem. For affine Weyl group W with corresponding finite Weyl group W_f, we prove that lower W_f-parabolic Bruhat in...
Smoothed weighted empirical likelihood ratio confidence intervals for quantiles
bootstrap doubly censored data empirical likelihood interval censored data partly interval censored data right censored data
2015/12/11
Thus far, likelihood-based interval estimates for quantiles have not been studied in the literature on interval censored case 2 data and partly interval censored data, and, in this context, the use of...
Possible reduction of earthquake hazard on the Wellington Fault,New Zealand,after the nearby 1855,M 8.2 Wairarapa earthquake and implication for interpreting paleoearthquake intervals
Wellington region changes on Coulombfailure stress earthquake hazard
2015/9/16
Based on the indicative modelling, the changes in Coulomb failure function (?CFS) suggest that the W-HV segment and the T-P segment could be stable in at least the future 300 years and 190 years respe...
Guaranteed Conservative Fixed Width Confidence Intervals Via Monte Carlo Sampling
Intervals Via Monte Carlo Sampling Guaranteed Conservative
2015/8/21
Monte Carlo methods are used to approximate the means, μ, of random variables
Y, whose distributions are not known explicitly. The key idea is that the average of a random
sample, Y1,...,Yn, tends t...
Compounding ratios and intervals:an educational/historical approach in mathematics and music
Compounding ratios intervals educational/historical approach mathematics music
2015/3/27
Compounding ratios and intervals:an educational/historical approach in mathematics and music.
The variance of the number of prime polynomials in short intervals and in residue classes
variance the number of prime polynomials short intervals residue classes Number Theory
2012/4/23
We resolve a function field version of two conjectures concerning the variance of the number of primes in short intervals (Goldston and Montgomery) and in arithmetic progressions (Hooley). A crucial i...
Extensions of diffusion processes on intervals and Feller's boundary conditions
Extensions of diffusion processes intervals Feller's boundary conditions Probability
2012/4/17
For a minimal diffusion process on $ (a,b) $, any possible extension of it to a standard process on $ [a,b] $ is characterized by the characteristic measures of excursions away from the boundary point...
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...
"Spectral implies Tiling" for Three Intervals Revisited
Three Intervals Revisited Classical Analysis and ODEs Algebraic Geometry
2011/9/21
Abstract: In \cite{BCKM} it was shown that "Tiling implies Spectral" holds for a union of three intervals and the reverse implication was studied under certain restrictive hypotheses on the associated...
Intervals of balanced binary trees in the Tamari lattice
balanced binary tree Tamari lattice poset grammar generating series fixed-point functional equation
2011/9/14
Abstract: We show that the set of balanced binary trees is closed by interval in the Tamari lattice. We establish that the intervals [T, T'] where T and T' are balanced binary trees are isomorphic as ...
Algebraic Structures using Natural Class of Intervals
Algebraic Structures Natural Class of Intervals General Mathematics
2011/8/23
Abstract: This book has eleven chapters. Chapter one describes all types of natural class of intervals and the arithmetic operations on them. Chapter two introduces the semigroup of natural class of i...
Likelihood based observability analysis and confidence intervals for predictions of dynamic models
Likelihood observability analysis confidence intervals predictions Statistics and Probability
2011/8/1
Abstract: Mechanistic dynamic models of biochemical networks such as Ordinary Differential Equations (ODEs) contain unknown parameters like the reaction rate constants and the initial concentrations o...
Random Sequential Generation of Intervals for the Cascade Model of Food Webs
food chain asymptotic length Poisson approximation Sequential interval generation
2011/7/6
The cascade model generates a food web at random. In it the species are labeled from 0 to $m$, and arcs are given at random between pairs of the species. For an arc with endpoints $i$ and $j$ ($i
Exponential instability in the Gel'fand inverse problem on the energy intervals
Exponential instability Gel'fand inverse problem energy intervals
2011/1/20
We consider the Gel’fand inverse problem and continue studies of [Mandache,2001].We show that the Mandache-type instability remains valid even in the case of Dirichletto-Neumann map given on the energ...