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三亚国际数学论坛：图与网络对称性（International Workshop on Symmetries of Graph and Networks）
三亚国际数学论坛 图与网络对称性
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2018/1/11
Nowadays, graph symmetries are becoming a very important and rapidly growing area of study, and often looked at closely by computer scientists and other network designers. One significant instance of ...
Nowadays, graph symmetries are becoming a very important and rapidly growing area of study, and often looked at closely by computer scientists and other network designers. One significant instance of ...
Fastest mixing Markov chain on graphs with symmetries
Markov chains fast mixing eigenvalue optimization semidefi nite programming graph automorphism group representation
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2015/8/10
We show how to exploit symmetries of a graph to efficiently compute the fastest mixing Markov chain on the graph (i.e., find the transition probabilities on the edges to minimize the second-largest ei...
Cycle symmetries and circulation fluctuations for discrete-time and continuous-time Markov chains
Haldane equality current fluctuations fluctuation theorems
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2014/12/5
In probability theory, equalities are much less than inequalities. In this paper, we find a series
of equalities which characterize the symmetry of the forming times of a family of similar cycles
fo...
Geometric structures invariant to symmetries
symmetric spaces geometric structures Cartan geometries parabolic geometries homogeneous spaces extension functors
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2012/7/11
We introduce and discuss (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. Our main tools are homogeneous Ca...
Efficient Detection of Symmetries of Polynomially Parametrized Curves
Efficient Detection Symmetries Polynomially Parametrized Curves Algebraic Geometry
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2012/7/11
We present efficient algorithms for detecting central and mirror symmetry for the case of algebraic curves defined by means of polynomial parametrizations. The algorithms are based on an algebraic rel...
We present a new approach for counting trees, and we apply it to count multitype Cayley trees and to prove the multivariate Lagrange inversion formula. The gist of our approach is to exploit the symme...
Symmetries of Julia sets of polynomial skew products on C^2
Complex dynamics skew product Green function
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2012/4/18
We consider the symmetries of Julia sets of polynomial skew products on C^2, which are birationally conjugate to rotational products. Our main results give the classification of the polynomial skew pr...
Higher Symmetries of the Laplacian via Quantization
Symmetry algebra Laplacian Quantization Conformal geometry Minimal nilpotent orbit
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2011/9/22
Abstract: We develop a new approach, based on quantization methods, to study higher symmetries of invariant differential operators. We focus here on conformally invariant powers of the Laplacian over ...
Hidden Hodge symmetries and Hodge correlators
Hidden Hodge symmetries Hodge correlators Algebraic Geometry
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2011/9/22
Abstract: The Hodge Galois group is the Tannakian Galois group of the category of real mixed Hodge structures. It has a subgroup, called the twistor Galois group, which is the Galois group of the cate...
Factor frequencies in languages invariant under more symmetries
Factor frequencies languages invariant Combinatorics
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2011/8/24
Abstract: The number of frequencies of factors of length $n+1$ in a recurrent aperiodic infinite word does not exceed $3\Delta \C(n)$, where $\Delta \C (n)$ is the first difference of factor complexit...
The 2-group of symmetries of a split chain complex
2-group of symmetries split chain complex
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2011/1/19
We explicitly compute the 2-group of self-equivalences and (homotopy classes of) chain homotopies between them for any split chain complex A• in an arbitrary K-linear abelian category (K any com...
Symmetries and adjunction inequalities for knot Floer homology
Symmetries adjunction inequalities knot Floer homology
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2011/1/21
We derive symmetries and adjunction inequalities of the knot Floer homology groups which appear to be especially interesting for homologically essential knots.
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
Lotka-Volterra system reaction-diffusion system Lie symmetry
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2011/2/28
Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant no...
Generalized cosmological term from Maxwell symmetries
Generalized cosmological term Maxwell symmetries
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2011/3/3
By gauging the Maxwell spacetime algebra we extend the standard geometric framework of Ein-
stein gravity by the addition of six fourvector fields Aab μ (x) associated with the six abelian tensorial ...