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The Structure of frpp Semigroups
, 2007
"... Frpp semigroups are initially researched by GuoLiShum (see, International Mathematical Forum, 1(2006), p. 15711585). They introduced the concept of SFRsystems and established the structure of a class of Frpp semigroups, namely, strongly Frpp semigroups. In this paper we define FRsystems by ..."
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Cited by 1 (1 self)
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systems by weakening the conditions of SFRsystems and further obtain the structure of general Frpp semigroups in terms of FRsystems.
Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
 Proceedings of the National Academy of Sciences
, 2005
"... of contexts of data analysis, such as spectral graph theory, manifold learning, nonlinear principal components and kernel methods. We augment these approaches by showing that the diffusion distance is a key intrinsic geometric quantity linking spectral theory of the Markov process, Laplace operators ..."
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Cited by 257 (45 self)
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organization of graphs and subsets of Rn. We use diffusion semigroups to generate multiscale geometries in order to organize and represent complex structures. We show that appropriately selected eigenfunctions or scaling functions of Markov matrices, which describe local transitions, lead to macroscopic
Pointwise semigroup methods and stability of viscous shock waves
 Indiana Univ. Math. J
, 1998
"... Abstract. Considered as rest points of ODE on L p, stationary viscous shock waves present a critical case for which standard semigroup methods do not su ce to determine stability. More precisely, there is no spectral gap between stationary modes and essential spectrum of the linearized operator abou ..."
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Cited by 116 (53 self)
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be reduced to the standard semigroup setting by Sattinger's method of weighted norms. We overcome this di culty in the general case by the introduction of new, pointwise semigroup techniques, generalizing earlier work of Howard [H.1], Kapitula [K.12], and Zeng [Ze,LZe]. These techniques allow us to do
Generalized Mehler semigroups and applications
, 1994
"... We construct and study generalized Mehler semigroups (p t ) t#0 and their associated Markov processes M. The construction methods for (p t ) t#0 are based on some new purely functional analytic results implying, in particular, that any strongly continuous semigroup on a Hilbert space H can be extend ..."
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Cited by 26 (5 self)
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We construct and study generalized Mehler semigroups (p t ) t#0 and their associated Markov processes M. The construction methods for (p t ) t#0 are based on some new purely functional analytic results implying, in particular, that any strongly continuous semigroup on a Hilbert space H can
Meanfield backward stochastic differential equations and related patial differential equations
, 2007
"... In [5] the authors obtained MeanField backward stochastic differential equations (BSDE) associated with a Meanfield stochastic differential equation (SDE) in a natural way as limit of some highly dimensional system of forward and backward SDEs, corresponding to a large number of “particles” (or “a ..."
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Cited by 181 (14 self)
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“agents”). The objective of the present paper is to deepen the investigation of such MeanField BSDEs by studying them in a more general framework, with general driver, and to discuss comparison results for them. In a second step we are interested in partial differential equations (PDE) whose solutions
The structure of free semigroup algebras
 J. REINE ANGEW. MATH
, 1996
"... A free semigroup algebra is the wotclosed algebra generated by an ntuple of isometries with pairwise orthogonal ranges. The interest in these algebras arises primarily from two of their interesting features. The first is that they provide useful information about unitary invariants of representati ..."
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Cited by 56 (15 self)
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of the free semigroup on n letters and denoted Ln. This paper provides a general structure theorem for all free semigroup algebras, Theorem 2.6, which extends results for important special cases in the literature. The structure theorem highlights the importance of the type L representations, which
Graph inverse semigroups, groupoids and their
 C ∗ algebras, J. Operator Theory
"... Abstract. There is now a substantial literature on graph C ∗algebras. Under a locally finite condition on a countable, directed graph, Kumjian, Pask, Raeburn, Renault showed that the C ∗algebra of the graph can be realized as the C ∗algebra of the path groupoid, i.e. the groupoid determined by th ..."
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Cited by 51 (2 self)
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by the infinite paths in the graph. In the present paper, we remove the local finiteness requirement. The path groupoid in the general context is obtained through the universal groupoid of a certain inverse semigroup associated with the graph. This inverse semigroup is called the graph inverse semigroup
GENERALIZED TOEPLITZ ALGEBRAS OF SEMIGROUPS
"... Abstract. We analyze the structure of C∗algebras generated by left regular isometric representations of semigroups. 1. ..."
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Abstract. We analyze the structure of C∗algebras generated by left regular isometric representations of semigroups. 1.
A Structure Theorem for Right1 Adequate Semigroups of Type F
"... A right adequate semigroup of type F means a right adequate semigroup which is an Frpp semigroup. We obtain the structure theorem for right adequate semigroups: a semigroup is a right adequate semigroup of type F if and only if it is isomorphic to some F(M,Y), where (M,Y) is an Fpair. As its app ..."
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A right adequate semigroup of type F means a right adequate semigroup which is an Frpp semigroup. We obtain the structure theorem for right adequate semigroups: a semigroup is a right adequate semigroup of type F if and only if it is isomorphic to some F(M,Y), where (M,Y) is an Fpair. As its
Results 1  10
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1,282