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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Differentiability of volume functions for big classes
大类 体积函数 可微性
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2023/4/17
We report a recent paper of Witt Nystrom, where he proved the differentiability of volume functions using deformation to the normal cone.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Chevalley formulae for the motivic Chern classes of the Schubert cells
舒伯特 细胞动机陈类 切瓦利公式
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2023/4/14
The motivic Chern classes of the Schubert cells are the K-theoretic generalizations of the Chern-Schwartz-MacPherson classes in homology. I will report some joint work in progress with L. Mihalcea and...
Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphs
Sparse graphical model Reversible Markov chain Markov equivalence class
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2016/1/20
Graphical models are popular statistical tools which are used to represent dependent or causal complex systems. Statistically equivalent causal or directed graphical models are said to belong to a Mar...
Some new classes of orthogonal Latin hypercube designs
Column-orthogonal rotation matrix full factorial design Galois field orthog- onal array orthogonal Latin hypercube
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2016/1/19
Orthogonal Latin hypercube (OLH) is a good choice for computer experiments be-cause it ensures independent estimation of linear effects when a first-order model is fitted.However, when second-order ef...
BOUNDARY BEHAVIOR OF SPECIAL COHOMOLOGY CLASSES ARISING FROM THE WEIL REPRESENTATION
BOUNDARY BEHAVIOR SPECIAL COHOMOLOGY CLASSES ARISING WEIL REPRESENTATION
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2015/10/14
In our previous paper [9], we established a correspondence between vector-valued holomorphic Siegel modular forms and cohomology with local coefficients for local symmetric spaces X attached to real o...
THE LOCUS OF HODGE CLASSES IN AN ADMISSIBLE VARIATION OF MIXED HODGE STRUCTURE
ADMISSIBLE VARIATION HODGE CLASSES
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2015/9/29
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed Hodge structure.
CHARACTERISTIC CLASSES AND REPRESENTATIONS OF DISCRETE SUBGROUPS OF LIE GROUPS
CHARACTERISTIC CLASSES REPRESENTATIONS
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2015/9/29
(For convenience we shall henceforth assume that n is torsionfree: by
Selberg's lemma [12] this may be accomplished by replacing TT by a subgroup of
finite index. This insures that M is a compact ...
Karp complexity and classes with the independence property
Karp complexity independence property
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2015/9/25
A class K of structures is controlled if for all cardinals
λ, the relation of L∞,λ-equivalence partitions K into a set of
equivalence classes (as opposed to a proper class). We prove that
no pseudo...
The Karp compexity of unstable classes
Karp compexity unstable classes
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2015/9/25
A class K of structures is controlled if, for all cardinals
λ, the relation of L∞,λ-equivalence partitions K into a set of
equivalence classes (as opposed to a proper class). We prove that
the clas...
Relationship between geomagnetic classes’ activity phases and their occurrence during the sunspot cycle
Classes of geomagnetic activity Phases of geomagnetic classes Sunspot cycle
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2015/8/28
Four well known geomagnetic classes of activity such as quiet days activity, fluctuating activity, recurrent activity and shock activity time occurrences have been determined not only by using time pr...
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES
Growth model games algebra Lagrange inversion feature classes
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2015/7/14
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES.
RELATIVE VIRTUAL LOCALIZATION AND VANISHING OF TAUTOLOGICAL CLASSES ON MODULI SPACES OF CURVES
VIRTUAL LOCALIZATION VANISHING
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2015/7/14
We prove a localization formula for the moduli space of stable relative maps.
As an application, we prove that all codimension i tautological classes on the moduli space
of stable pointed curves van...
RELATIVE VIRTUAL LOCALIZATION AND VANISHING OF TAUTOLOGICAL CLASSES ON MODULI SPACES OF CURVES
VIRTUAL LOCALIZATION VANISHING
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2015/7/14
We prove a localization formula for the moduli space of stable relative maps.
As an application, we prove that all codimension i tautological classes on the moduli space
of stable pointed curves van...
Equivalence Classes of Full-Dimensional 0/1-Polytopes with Many Vertices
n-cube full-dimensional 0/1-polytope symmetry hyperplane Polya theory
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2014/6/3
Let Qn denote the n-dimensional hypercube with the vertex set Vn = {0, 1}n. A 0/1-polytope of Qn is a convex hull of a subset of Vn. This paper is concerned with the enumeration of equivalence classes...
Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphs
Sparse graphical model Reversible Markovchain Markov equivalence class.
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2012/11/23
Graphical models are popular statistical tools which are used to represent dependent or causal complex systems. Statistically equivalent causal or directed graphical models are said to belong to a Mar...