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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.
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...
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,...
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 ...
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...
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 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...

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