A class of desingularizations for orbit closures of representations of Dynkin quivers is constructed, which can be viewed as a graded analogue of the Springer resolution. A stratification of the singular fibres is introduced; its geometry and combinatorics are studied. Via the Hall algebra approach, these constructions relate to bases of quantized enveloping algebras. Using Ginzburg’s theory of...

We further develop the general theory of the area reactivity model that provides an alternative description of the diffusion-influenced reaction of an isolated receptor-ligand pair in terms of a generalized Feynman-Kac equation. We analyze both the irreversible and reversible reaction and derive the equation of motion for the survival and separation probability. Furthermore, we discuss the noti...

In this paper, for the first time, a comprehensive experimental study is performed on hydroforming process of metallic bellows. For this purpose, the effects of the main process parameters and their interactions on the characteristics of hydroformed metallic bellows are investigated using Response Surface Methodology (RSM). The selected parameters as input variables are internal pressure, die s...

We show time lower bounds for both online integer multiplication and convolution in the cell-probe model with word size w. For the multiplication problem, one pair of digits, each from one of two n digit numbers that are to be multiplied, is given as input at step i. The online algorithm outputs a single new digit from the product of the numbers before step i+ 1. We give a lower bound of Ω( δ w...

Integer programs with a fixed number of constraints can be solved in pseudo-polynomial time. We present a surprisingly simple algorithm and matching conditional lower bounds. Consider an IP in standard form max{cx : Ax = b, x ∈ Zn≥0}, where A ∈ Z , b ∈ Z and c ∈ Z. Let ∆ be an upper bound on the absolute values in A. We show that this IP can be solved in time O(m∆) · log(‖b‖∞). The previous bes...

In this note we present an algorithm to obtain a uniform lower bound on Hausdorff dimension of the stationary measure affine iterated function scheme with similarities, best known example which is Bernoulli convolution. The convolution μλ probability corresponding law random variableξ=∑k=0∞ξkλk, where ξk are i.i.d. variables assuming values −1 and 1 equal 12<λ<1. particular, for convolutions gi...

Self assembled quantum dots have shown a great promise as a leading candidate for infrared detection at room temperature. In this paper, a theoretical model of the absorption coefficient of quantum dot devices is presented. Both of bound to bound absorption and bound to continuum absorption are taken into consideration in this model. This model is based on the effective mass theory and the Non ...

A new coefficient bound is established for factoring univariate polynomials over the integers. Unlike an overall bound, the new bound limits the size of the coefficients of at least one irreducible factor of the given polynomial. The single-factor bound is derived from the weighted norm introduced in Beauzamy et al. (1990) and is almost optimal. Effective use of this bound in p-adic lifting res...

Two particle non-relativistic bound states in QCD (QED) have, at least, three well separated scales: the mass m (hard scale), the typical relative momentum |~ p| (soft scale) and the typical bound state energy E (ultrasoft scale). This allows to introduce a hierarchy of effective field theories when sequentially integrating out each of these scales. After integrating out the hard scale m QCD (Q...