scholarly journals Multiplicative structure in the stable splitting of ΩSLn(C)

2019 ◽  
Vol 348 ◽  
pp. 412-455
Author(s):  
Jeremy Hahn ◽  
Allen Yuan
Keyword(s):  
Multiplicative Structure ◽  
Stable Splitting

scholarly journals Curve and Surface Smoothing Using a Modified Cahn-Hilliard Equation

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Yongho Choi ◽  
Darea Jeong ◽  
Junseok Kim
Keyword(s):  
Piecewise Linear ◽  
Three Dimensional ◽  
Computational Results ◽  
Fourier Spectral Method ◽  
Splitting Scheme ◽  
Surface Smoothing ◽  
Three Dimensional Objects ◽  
Hilliard Equation ◽  
Stable Splitting ◽  
Cahn Hilliard Equation

We present a new method using the modified Cahn-Hilliard (CH) equation for smoothing piecewise linear shapes of two- and three-dimensional objects. The CH equation has good smoothing dynamics and it is coupled with a fidelity term which keeps the original given data; that is, it does not produce significant shrinkage. The modified CH equation is discretized using a linearly stable splitting scheme in time and the resulting scheme is solved by using a Fourier spectral method. We present computational results for both curve and surface smoothing problems. The computational results demonstrate that the proposed algorithm is fast and efficient.

Stable Splitting of K(G, 1)

1972 ◽  
Vol 31 (1) ◽  
pp. 305 ◽  
Author(s):  
Richard Holzsager
Keyword(s):  
Stable Splitting

On the distribution in short intervals of products of a prime and integers from a given set

1998 ◽  
Vol 124 (1) ◽  
pp. 1-14
Author(s):  
J. KACZOROWSKI ◽  
A. PERELLI
Keyword(s):  
Number Theory ◽  
Classical Problem ◽  
Analytic Number Theory ◽  
Multiplicative Structure ◽  
Short Intervals ◽  
Analytic Number ◽  
Almost Primes ◽  
Prime Factors

A classical problem in analytic number theory is the distribution in short intervals of integers with a prescribed multiplicative structure, such as primes, almost-primes, k-free numbers and others. Recently, partly due to applications to cryptology, much attention has been received by the problem of the distribution in short intervals of integers without large prime factors, see Lenstra–Pila–Pomerance [3] and section 5 of the excellent survey by Hildebrand–Tenenbaum [1].In this paper we deal with the distribution in short intervals of numbers representable as a product of a prime and integers from a given set [Sscr ], defined in terms of cardinality properties. Our results can be regarded as an extension of the above quoted results, and we will provide a comparison with such results by a specialization of the set [Sscr ].

scholarly journals On a $p$-local stable splitting of $U(n)$

2001 ◽  
Vol 41 (2) ◽  
pp. 387-401 ◽  
Author(s):  
Goro Nishida ◽  
Yeong-mee Yang
Keyword(s):  
Stable Splitting

scholarly journals COHOMOLOGY RING OF THE BRST OPERATOR ASSOCIATED TO THE SUM OF TWO PURE SPINORS

2013 ◽  
Vol 28 (23) ◽  
pp. 1350107 ◽  
Author(s):  
ANDREI MIKHAILOV ◽  
ALBERT SCHWARZ ◽  
RENJUN XU
Keyword(s):  
Cohomology Ring ◽  
Type Ii ◽  
Pure Spinor ◽  
Multiplicative Structure ◽  
Dimensional Algebra ◽  
Dimensional Vector Space ◽  
Infinite Dimensional ◽  
Brst Operator ◽  
Finite Dimensional ◽  
Algebra Of Functions

In the study of the Type II superstring, it is useful to consider the BRST complex associated to the sum of two pure spinors. The cohomology of this complex is an infinite-dimensional vector space. It is also a finite-dimensional algebra over the algebra of functions of a single pure spinor. In this paper we study the multiplicative structure.

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