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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 3
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
In this talk, we give an example to illustrate how to use the hypergraph regularity lemmas. The absorbing method due to R?dl, Schacht and Szemerédi is a powerful tool in proving hypergraph Hamilton cy...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 2
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
In this talk, we first introduce the definitions of equitable partitions and state the hypergraph regularity lemma due to R?dl and Schacht. Then, we give the conception of reduced hypergraphs and its ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 1
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
Hypergraph regularity lemmas are generalizations of Szemerédi's regularity lemma for graphs, which has been proved to be a powerful tool with many subsequent. In this talk, we first give a brief intro...
AN ALMOST PERIODIC NONCOMMUTATIVE WIENER’S LEMMA
ALMOST PERIODIC NONCOMMUTATIVE WIENER’S LEMMA
2015/9/29
We develop a theory of almost periodic elements in Banach algebras and present an abstract version of anoncommutative Wiener’s Lemma. The theory can be used, for example, to derive some of the recentl...
THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
THE BASE CHANGE FUNDAMENTAL LEMMA FOR CENTRAL ELEMENTS IN PARAHORIC HECKE ALGEBRAS
PARAHORIC HECKE Algebra
2015/9/29
Let G be an unramified group over a p-adic field F, and let E/F be a finite
unramified extension field. Let θ denote a generator of Gal(E/F). This paper concerns the
ma...
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system
Shilnikov Lemma normally hyperbolic critical manifold Hamiltonian system
2015/3/18
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system.
In this note, we investigate the conditions under which Borel-Cantelli Lemma holds of Choquet capacity, which is a reasonable generalization of traditional Borel-Cantelli Lemma of probability measure
A Wowzer Type Lower Bound for the Strong Regularity Lemma
Wowzer Type Lower Bound Regularity Lemma
2011/9/20
Abstract: The regularity lemma of Szemeredi asserts that one can partition every graph into a bounded number of quasi-random bipartite graphs. In some applications however, one would like to have a st...
Characterization of hyperbolicity and generalized shadowing lemma
Hyperbolicity Lyapunov exponents shadowing Anosov maps
2011/9/13
Abstract: J. Mather characterized uniform hyperbolicity of a discrete dynamical system as equivalent to invertibility of an operator on the set of all sequences bounded in norm in the tangent bundle o...
Variables separated equations: Strikingly different roles for the Branch Cycle Lemma and the Finite Simple Group Classification
group representations normal varieties Galois strati cation
2011/2/25
H. Davenport's Problem asks: What can we expect of two polynomials,over Z, with the same ranges on almost all residue class elds?This stood out among many separated variable problems posed by Davenpo...
Infinite computable version of Lovasz Local Lemma
Infinite computable version Lovasz Local Lemma
2011/3/2
Lov´asz Local Lemma (LLL) is a probabilistic tool that allows us to prove the existence of combinatorial objects in the cases when standard probabilistic argument does not work (there are many p...
Extend the Borel-Cantelli lemma to sequences of non-independent random variables
Borel-cantelli Lemma Cauchy-schwarz Inequality
2010/9/21
In this paper we discus on the Borel-Cantelli lemma when the condition of independent events is replaced by negative quadrant dependent condition.
A note on a matrix version of the Farkas lemma
Farkas Lemma matrix polynomials Positivstellensatz
2011/2/28
A linear polyomial non-negative on the non-negativity domain of finitely many linear polynomials can be expressed as their non-negative linear combination. Recently, under several additional assumptio...
The `Real' Schwarz Lemma
`Real' Schwarz Lemma
2011/1/17
The purpose of this note is to discuss the real analogue of the Schwarz lemma from complex analysis.