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We establish new combinatorial transcendence criteria for continued fraction expansions. Let α = [0; a1, a2, . . .] be an algebraic number of degree at least three. One of our criteria implies that th...
Graded limits of minimal affinizations and Beyond: the multiplicty free case for type E6
Graded limits of minimal affinizations Beyond multiplicty free case for type E6
2011/1/21
We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E6. For certain values of their highest weight, these modules were conjectured...
A Novel Symmetry Constraint Of The Super cKdV System
explicit symmetry constraints implicit symmetry constraints
2010/12/15
A new (1+1)-dimensional integrable system, i. e. the super coupled Korteweg-de Vries (cKdV) system, has been constructed by a super extension of the well-known (1+1)-dimensional cKdV system. For this ...
Transcendence degree of zero-cycles and the structure of Chow motives
algebraic cycles rational equivalence motives balanced corre-spondence
2010/12/1
In the paper we introduce a transcendence degree of a zero-cycle on a smooth projective variety X and relate it to the structure of the motive of X.
Feller Processes: The Next Generation in Modeling. Brownian Motion, Lévy Processes and Beyond
Feller Processes The Next Generation in Modeling rownian Motion Lévy Processes Beyond
2010/12/13
We present a simple construction method for Feller processes and a framework for the generation of sample paths of Feller processes. The construction is based on state space dependent mixing of L&acut...
一类三参数超越方程稳定区域的界面位置
超越方程 稳定域
2007/12/10
本文讨论一类三参数超越方程根的分布．Ｂｅｌｌｍａｎ和 Ｃｏｏｋｅ在文［３］中对部分情况$a>0,b\geq 0$给出了结果．但这个结果是分析的，不便于应用． 本文对这类方程在整个参数空间(a,b,c)中给出根在左半平面的条件，并给出稳定区域的大致形状及边界曲面的大致位置的图形．应用上较为方便，特别是在分支理论中．