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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Conformally invariant fields out of Brownian loop soups
布朗环汤 共形 不变场 布朗分布
2023/4/14
For each central charge c\in (0,1], we construct a conformally invariant field which is a measurable function of the local time field \mathcal{L} of the Brownian loop soup with intensity c and i.i.d. ...
环路空间，超对称与指标理论研讨会将于2017.7.17-7.21在南开大学陈省身数学研究所举行。
International Workshop on Loop Space, Supersymmetry and Index Theory
International Workshop Loop Space, Supersymmetry and Index Theory
2017/2/15
Chern Institute of Mathematics (CIM) was founded through the initiative of the late Professor Shiing-Shen Chern, who was also the first director of the Institute until 1992. The institute is located i...
Closed-loop convex analysis of performance limits for linear control systems
Linear control system computer aided control system and design a linear controller convex optimization digital signal processor
2015/8/12
In closed-loop convex analysis and design, the linear controller design problem is reformulated as a convex optimization problem, which may be more easily solved than the problems resulting from conve...
Closed-loop convex formulation of classical and singular value loop shaping
Singular value circulation formation control dynamic systems digital technology application control system design
2015/8/12
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
Operads, homotopy algebra and iterated integrals for double loop spaces
Operads homotopy algebra iterated integrals double loop spaces
2015/3/25
This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended ...
Closed Geodesics and the Free Loop Space.
A Closed-Loop Model of the Respiratory System: Focus on Hypercapnia and Active Expiration
Respiratory System Focus on Hypercapnia
2014/12/12
Breathing is a vital process providing the exchange of gases between the lungs and atmosphere. During quiet breathing, pumping air from the lungs is mostly performed by contraction of the diaphragm du...
The product structure of the equivariant K-theory of the based loop group of SU(2)
equivariant K-theory Lie group loop group based loop spaces
2012/6/30
Let G=SU(2) and let \Omega G denote the space of continuous based loops in G, equipped with the pointwise conjugation action of G. It is a classical fact in topology that the ordinary cohomology H^*(\...
Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on Z^2
Uniform spanning tree loop-erased random walk abelian sandpile model
2011/9/14
Abstract: We show how to compute the probabilities of various connection topologies for uniformly random spanning trees on graphs embedded in surfaces. As an application, we show how to compute the "i...
Loop symmetric functions and factorizing matrix polynomials
Loop symmetric functions factorizing matrix polynomials
2011/1/18
These are notes for my talk at ICCM 2010, Beijing. We survey some results, obtained jointly with Pavlo Pylyavskyy, concerning the ring of loop symmetric functions. Motivations from networks on surface...
Infinite loop spaces associated to affine Kac-Moody groups
generalized Cartan matrix infinite loop space affine Kac-Moody group
2011/2/25
It is well known that to each infinite class of classical groups over a commutative ring R, we can associate an infinite loop space by Quillen’s plus construction. In this paper we generalize this fac...
Let g be a complex, semisimple Lie algebra. Drinfeld showed that the quantum loop algebra U~(Lg) of g degenerates to the Yangian Y~(g). We strengthen this result by constructing an explicit algebra ho...
One-loop stress tensors for scalar and spinor fields on the homogeneous spaces with G-invariant metrics
One-loop stress tensors for scalar spinor fields homogeneous spaces G-invariant metrics
2011/2/28
Vacuum expectation value of the stress-energy-momentum tensor for scalar and spinor fields is obtainted on the homogeneous space with G-invariant metrics using the orbits of coadjoint representation o...
Unitary representations of a loop ax+b group, Wiener measure and Gamma-function
Unitary representations loop ax+b group Wiener measure Gamma-function
2011/2/24
We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to ...