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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,...
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...
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.
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 ...
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...
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 ...
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.
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...
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...
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...
We prove the following sharp upper bound for the gradient of the Neumann semigroup Pt on a d-dimensional compact domain with boundary either C2- smooth or convex: k∇Ptk1→∞ ≤c t(d+1)/2 , t > 0,...
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital C-algebra. Here we show that the...
We study the Toeplitz algebra T (N ⋊ N×) and three quotients of this algebra: the C-algebra QN recntly introduced by Cuntz, and two new ones, which we call the additive and multiplicative bound...
We use semigroup theory to describe the group of automorphisms of some semigroups of interest in holomorphic dynamical systems. We show,with some examples, that representation theory of semigroups is ...

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