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三亚国际数学论坛:Asymptotic,Algebraic and Geometric Aspects of Integrable Systems
三亚国际数学论坛 Asymptotic Algebraic Geometric Aspects Integrable Systems
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2017/11/24
Integrable systems involves the study of physically relevant nonlinear equations, which includes many families of well-known, highly important partial and ordinary differential equations. Building on ...
Note on a relation between Randic index and algebraic connectivity
Randi´ c index algebraic connectivity edge connectivity diameter
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2011/2/24
A conjecture of AutoGraphiX on the relation between the Randi´c index R and the algebraic connectivity a of a connected graph G is:R a n − 3 + 2p2 2 ! / 2(1 − cos n ) with ...
An Algebraic Jost-Schroer Theorem for Massive Theories
Algebraic Jost-Schroer Theorem Massive Theories
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2011/3/2
We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the local algebras, ther...
Fields of algebraic numbers with bounded local degrees and their properties
Fields of algebraic numbers bounded local degrees their properties
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2011/1/18
We provide a characterization of infinite algebraic Galois extensions of the rationals with uniformly bounded local degrees, giving a detailed proof of all the results announced in Checcoli and Zannie...
Hochster's Theta Pairing and Algebraic Equivalence
Hochster's Theta Pairing Algebraic Equivalence
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2010/11/24
We define a variant of Hochster's theta pairing and prove that it is constant in flat families of modules over hypersurfaces with isolated singularities. As a consequence, we show that the theta pair...
On algebraic cellular automata
On algebraic cellular automata math
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2010/11/24
We investigate some general properties of algebraic cellular automata, i.e., cellular automata over groups whose alphabets are affine algebraic sets and which are locally defined by regular maps. When...
Cuspidal Multiple Structures on Smooth Algebraic Varieties as Support
Cuspidal Multiple Structures Smooth Algebraic Varieties
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2010/11/24
We construct lci nilpotent scheme structures $Y \subset P$ on a smooth variety $X$ embedded in a smooth variety $P$, which are, locally, (i.e. in $\widehat{\mathcal O}_{p,P}$ ) given by ideals of the ...
Algebraic and combinatorial structures on Baxter permutations
Algebraic combinatorial structures Baxter permutations
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2010/11/23
We construct a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial family (i.e. Baxter permutation, pairs of ...
Primitive algebraic algebras of polynomially bounded growth
algebras polynomially bounded growth
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2010/11/23
We show that if $k$ is a countable field, then there exists a finitely generated, infinite-dimensional, primitive algebraic $k$-algebra $A$ whose Gelfand-Kirillov dimension is at most six. In additio...
Irreducibility of the space of cyclic covers of algebraic curves of fixed numerical type and the irreducible components of $Sing (\bar{\mathfrak M_g})$
space algebraic curves numerical type irreducible components
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2010/11/8
We prove irreducibility for the space of cyclic covers of fixed numerical type between smooth projective curves, and also for the space of cyclic covers of prime order and of fixed numerical-combinato...
L-cumulants, L-cumulant embeddings and algebraic statistics
L-cumulant embeddings algebraic statistics
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2010/11/12
In this paper we generalize the combinatorial definition of cumulants. Obtained in this way L-cumulants keep all the desired properties of the classical cumulants like semi-invariance and vanishing f...
A subspace shift technique for solving close-to-critical nonsymmetric algebraic Riccati equations
A subspace shift technique close-to-critical nonsymmetric algebraic Riccati equations
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2010/11/11
The worst situation in computing the minimal nonnegative solution $X_*$ of a nonsymmetric algebraic Riccati equation $\mathcal R(X)=0$ associated with an M-matrix occurs when the derivative of $\math...
Lectures on algebraic categorification
Lectures algebraic categorification
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2010/11/8
This is a write-up of the lectures given by the author during the Master Class "Categorification" at {\AA}rhus University, Denmark in October 2010.
Algebraic Theories and (Infinity,1)-Categories
Algebraic Theories math
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2010/11/19
We adapt the classical framework of algebraic theories to work in the setting of (infinity,1)-categories developed by Joyal and Lurie. This gives a suitable approach for describing highly structured o...
On the algebraic cobordism spectra MSL and MSp
the algebraic cobordism spectra MSL MSp
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2010/11/9
We construct algebraic cobordism spectra MSL and MSp. They are commutative monoids in the category of symmetric T^{2}- spectra. The spectrum MSp comes with a natural symplectic orientation given eithe...