Abstract We derive a novel stochastic representation of exchangeable Marshall–Olkin distributions based on their death-counting processes. show that these processes are Markov. Furthermore, we provide numerically stable approximation infinitesimal generator matrices in the extendible case. This approach uses integral representations Bernstein functions to calculate generator’s first row, and th...

We consider the path space of a manifold with measure induced by stochastic flow an infinitesimal generator that is hypoelliptic, but not elliptic. These generators can be seen as sub-Laplacians sub-Riemannian structure chosen complement. introduce concept gradient for cylindrical functionals on in such way operators are closable L2. With this place, we show bound horizontal Ricci curvature equ...

In the present article, time fractional Fisher equation is considered in conformal form to study application of Lie classical method and quantitative analysis. The symmetry has been applied find infinitesimal generators reductions equation. obtained reduced solved by G ′ / ...

Some positive answers to the problem of endowing a dynamical system with Hamiltonian formulation are presented within class Poisson structures in geometric framework. We address this on orientable manifolds and by using decomposable structures. In first case, existence is ensured under vanishing some topological obstructions, improving result Gao. second we apply variant Hojman construction sol...

By applying the Lie symmetry method, group-invariant solutions are constructed for axially loaded Euler beams. The corresponding mathematical models of beams formulated. After introducing infinitesimal transformations, determining equations proposed via point transformations acting on original equations. generators symmetries systems presented with Maple. vector fields given to span subalgebra ...

A one-parameter symplectic group {e}t∈R derives proper canonical transformations on a Boson Fock space. It has been known that the unitary operator Ut implementing such a proper canonical transformation gives a projective unitary representation of {e}t∈R and that Ut can be expressed as a normal-ordered form. We rigorously derive the self-adjoint operator ∆(Â) and a phase factor e i ∫ t 0 τ Â (s...

We consider continuous semigroups of analytic functions {Φt}t≥0 in the so-called Gordon-Hedenmalm class G, that is, family Φ:C+→C+ giving rise to bounded composition operators Hardy space Dirichlet series H2. show there is a one-to-one correspondence between G and strongly {Tt}t≥0, where Tt(f)=f∘Φt, f∈H2. extend these results for range p∈[1,∞). For case p=∞, we prove no non-trivial semigroup H∞...

54 M.Mijatović, S.Pilipović 0. Introduction One-time integrated and n-times integrated exponentially bounded semigroups (n-t.i.e.b.s., in short), n ∈ N, of operators on a Banach space introduced by Arendt, were developed in [1-2], [13-16], [19], [22], [29-30] and applied to abstract Cauchy problems with operators which do not generate C0-semigroups. More generally, α-times integrated semigroups...