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Equivalent Semigroup Properties for Curvature-Dimension Condition
Equivalent Semigroup Properties Curvature-Dimension Condition
2015/3/24
Equivalent Semigroup Properties for Curvature-Dimension Condition.
Two characterization of BV functions on Carnot groups via the heat semigroup
Functions of bounded variation perimeters Carnot groups Heat semigroup
2011/9/15
Abstract: In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclidean spaces,...
Differential equation approximations of stochastic network processes: an operator semigroup approach
dynamic network birth-and-death process one-parameter operator semigroup
2011/9/6
Abstract: The rigorous linking of exact stochastic models to mean-field approximations is studied. Starting from the differential equation point of view the stochastic model is identified by its Kolmo...
A note on the computation of the Frobenius number of a numerical semigroup
numerical semigroup Frobenius number monomial curve semigroup ideal
2011/8/26
Abstract: In this article we present a formula for the computation of the Frobenius number and the conductor of a numerical semigroup from the sockel of a quotient of certain semigroup ring.
Semigroup modeling of confined Levy flights
Semigroup modeling confined Levy flights Statistical Mechanics
2011/7/27
Abstract: The master equation for confined Levy flights admits a transformation to a contractive strongly continuous semigroup dynamics. We address the ground-state (and the resultant probability dens...
On Semigroup of Permutation Factor Circulant Boolean Matrices
Boolean algebra permutation factor circulant Boolean matrix semigroups idempotent Euler-Ferment theorem
2012/9/25
Let ()nPM B denote the set of all nn× permutation factor circulant matrices over the Boolean algebra {0, 1} B = , then ()nPM B forms a semigroup under the usual matrix product. In this paper,...
The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property
C-algebra the Cuntz semigroup a Riesz type interpolation property
2011/2/25
We define a Riesz type interpolation property for the Cuntz semigroup of a C-algebra and prove it is satisfied by the Cuntz semigroup of every C-algebra with the ideal property. Related to this, we ...
On some ergodicity properties for time inhomogeneous Markov processes with $T$-periodic semigroup
Markov processes diffusion processes inhomogeneity in time periodicity Lyapunov function
2011/2/25
We consider a time inhomogeneous strong Markov process (ξt)t0 taking values in a Polish state space whose semigroup has a T -periodic structure. After reviewing some conditions which imply ergodicity...
Equivalent Semigroup Properties for Curvature-Dimension Condition
Curvature-dimension condition gradient inequality Harnack inequality
2011/2/28
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As ap-plications, the first eigenvalue, the ...
Large-N Wilsonian beta function in SU(N) Yang-Mills theory by localization on the fixed points of a semigroup contracting the functional measure
Large-N Wilsonian beta function SU(N) Yang-Mills theory localization semigroup contracting
2010/12/23
In a certain (non-commutative) version of large-N SU(N) Yang-Mills theory there are special Wilson loops, called twistor Wilson loops for geometrical reasons, whose v.e.v. is independent on the param...
Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties
commutative monoid lattice commutative semigroup varieties
2010/11/11
Let M be a commutative monoid. We provide an explicit first-order formular that defines the variety generated by M in the lattice of commutative semigroup varieties.
A new Lax-Oleinik type semigroup for time-periodic positive definite Lagrangian systems
Lax-Oleinik type semigroup time-periodic positive definite Lagrangian systems
2010/11/15
In this paper we introduce a new Lax-Oleinik type semigroup associated with positive definite Lagrangian systems for both the time-independent case and the time-periodic case. We show that the new La...
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
semigroup Riemannian manifolds singular data
2010/11/12
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initial condition. We sho...
A Semigroup Point Of View On Splitting Schemes For Stochastic (Partial) Differential Equations
Semigroup Point Splitting Schemes Differential Equations
2010/11/18
We construct normed spaces of real-valued functions with controlled growth on possibly infinite-dimensional state spaces such that semigroups of positive, bounded operators $(P_t)_{t\ge 0}$ thereon w...
From Markovian semigroup to non-Markovian quantum evolution
Markovian semigroup non-Markovian quantum evolution
2010/11/8
We provided a class of legitimate memory kernels leading to completely positive trace preserving dynamical maps. Our construction is based on a simple normalization procedure. Interestingly, when appl...