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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some Exact Formulas of the KPZ Fixed Point and Directed Landscape
KPZ不动点 定向景观 精确公式
2023/4/18
In the past twenty years, there have been huge developments in the study of the Kardar-Parisi-Zhang (KPZ) universality class, which is a broad class of physical and probabilistic models including one-...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Arithmetic mixed Siegel-Weil formulas and modular forms of arithmetic divisors
算术混合 西格尔-威尔公式 算术除数 模形式
2023/5/5
The classical Siegel–Weil formula relates theta series to Eisenstein series and its arithmetic version is central in Kudla's program. I will discuss arithmetic mixed Siegel-Weil formulas. I will focus...
Fast Scalar Multiplication for Elliptic Curves over Prime Fields by Efficiently Computable Formulas
twisted Edwards curves Edwards curves scalar multiplication
2018/11/6
This paper addresses fast scalar multiplication for elliptic curves over finite fields. In the first part of the paper, we obtain several efficiently computable formulas for basic elliptic curves arit...
Fast Scalar Multiplication for Elliptic Curves over Binary Fields by Efficiently Computable Formulas
binary elliptic curves point multiplication lambda coordinates
2017/9/7
This paper considers efficient scalar multiplication of elliptic curves over binary fields with a twofold purpose. Firstly, we derive the most efficient 3P3P formula in λλ-projective coordinates and 5...
Privacy-Free Garbled Circuits for Formulas: Size Zero and Information-Theoretic
Garbled Circuits Privacy-free Formula
2017/6/15
Garbled circuits are of central importance in cryptography, finding widespread application in secure computation, zero-knowledge (ZK) protocols, and verifiable outsourcing of computation to name a few...
Implementing Complete Formulas on Weierstrass Curves in Hardware
Elliptic curve cryptography FPGA Weierstrass curves
2016/12/12
This work revisits the recent complete addition formulas for prime order elliptic curves of Renes, Costello and Batina in light of parallelization. We introduce the first hardware implementation of th...
Growth of infants consuming whey-predominant term infant formulas with a protein content of 1.8 g/100 kcal: a multicenter pooled analysis of individual participant data
multicenter individual participant data pooled analysis low-protein infant formula breast milk infant growth probiotics prebiotics
2018/12/14
Background: High protein intake during infancy may contribute to obesity later in life in infants who are not exclusively breastfed. Lowering the protein content of infant formula so it is closer to t...
Growth of infants consuming whey-predominant term infant formulas with a protein content of 1.8 g/100 kcal: a multicenter pooled analysis of individual participant data
multicenter individual participant data pooled analysis low-protein infant formula breast milk infant growth probiotics prebiotics
2018/12/18
Background: High protein intake during infancy may contribute to obesity later in life in infants who are not exclusively breastfed. Lowering the protein content of infant formula so it is closer to t...
Concentration and distribution of sialic acid in human milk and infant formulas
Sialic acid oligosaccharides glycoprotein
2016/6/14
In animal studies, sialic acid supplementation is
associated with increases of gangliosides in the brain and
improved learning ability. Only limited data are available on the
sialic acid content of...
Garbling Scheme for Formulas with Constant Size of Garbled Gates
garbled circuits constant size of garbled gates correlation robustness
2016/6/6
We provide a garbling scheme which creates garbled circuits
of a very small constant size (four bits per gate) for circuits with fanout
one (formulas). For arbitrary fan-out, we additionally need on...
Small Formulas for Large Programs: On-line Constraint Simplification in Scalable Static Analysis
Small Formulas Large Programs On-line Constraint Simplification Scalable Static Analysis
2016/5/24
Static analysis techniques that represent program states as formulas typically generate a large number of redundant formulas that are incrementally constructed from previous formulas. In addition to q...
Complete addition formulas for prime order elliptic curves
public-key cryptography elliptic curves short Weierstrass form
2015/12/21
An elliptic curve addition law is said to be complete if it correctly computes the
sum of any two points in the elliptic curve group. One of the main reasons for the increased
popularity of Edwards ...
GIAMBELLI AND DEGENERACY LOCUS FORMULAS FOR CLASSICAL G/P SPACES
LOCUS FORMULAS GIAMBELLI
2015/12/17
Let G be a classical complex Lie group, P any parabolic subgroup
of G, and X = G/P the corresponding homogeneous space, which parametrizes
(isotropic) partial flags of subspaces of a fix...
DOUBLE THETA POLYNOMIALS AND EQUIVARIANT GIAMBELLI FORMULAS
EQUIVARIANT GIAMBELLI FORMULAS DOUBLE THETA POLYNOMIALS
2015/12/17
We use Young’s raising operators to introduce and study double
theta polynomials, which specialize to both the theta polynomials of Buch,
Kresch, and Tamvakis, and to double (or factorial) Schur S-p...
DOUBLE ETA POLYNOMIALS AND EQUIVARIANT GIAMBELLI FORMULAS
DOUBLE ETA POLYNOMIALS EQUIVARIANT GIAMBELLI FORMULAS
2015/12/17
We use Young’s raising operators to introduce and study double
eta polynomials, which are an even orthogonal analogue of Wilson’s double
theta polynomials. Our double eta polynomials give Giambelli ...