In mathematics, the term infinitesimal generator may refer to:
an element of the Lie algebra, associated to a Lie group
Infinitesimal generator (stochastic processes), of a stochastic process
infinitesimal generator matrix, of a continuous time Markov chain, a class of stochastic processes
Infinitesimal generator of a strongly continuous semigroup
Topics referred to by the same term
This disambiguation page lists articles associated with the title Infinitesimal generator. If an internal link led you here, you may wish to change the link to point directly to the intended article.
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mathematics, the term infinitesimalgenerator may refer to: an element of the Lie algebra, associated to a Lie group Infinitesimalgenerator (stochastic processes)...
elements known as infinitesimalgenerators. These mathematical objects form a Lie algebra of infinitesimalgenerators. Deduced "infinitesimal symmetry conditions"...
mathematics, an infinitesimal transformation is a limiting form of small transformation. For example one may talk about an infinitesimal rotation of a rigid...
semigroups) can be described by their infinitesimalgenerator. A function f in C0 is said to be in the domain of the generator if the uniform limit A f = lim...
product with n therefore describes the infinitesimalgenerator of the rotations about n. These infinitesimalgenerators form the Lie algebra so(3) of the rotation...
of classical Markov processes in view of operator theory. The infinitesimalgenerator of a quantum dynamical semigroup T {\displaystyle {\mathcal {T}}}...
)} , where μ {\displaystyle \mu } is an invariant measure. The infinitesimalgenerator L {\displaystyle L} of the Markov semigroup P = { P t } t ≥ 0 {\displaystyle...
perturbations of the infinitesimalgenerator, and a relationship between the type of the semigroup and the spectrum of the infinitesimalgenerator. Let Γ(t) = exp(At)...
relation that the infinitesimalgenerator of a continuous strong Markov process is a second-order elliptic operator. The infinitesimalgenerator of Brownian...
{Sp} (2n,\mathbf {R} )} can have a fairly explicit description using generators. If we let Sym ( n ) {\displaystyle \operatorname {Sym} (n)} denote...
S^{(1)}(\omega ,T)} is broad even in the infinite time limit. The infinitesimalgenerator (and hence characteristic operator) of a Brownian motion on Rn...
be seen as an infinitesimalgenerator of SU(2). The elements of SU(2) are exponentials of linear combinations of these three generators, and multiply...
{S}}\setminus \partial D} , where A {\displaystyle {\mathcal {A}}} is the infinitesimalgenerator of ( Y t ) {\displaystyle (Y_{t})} then ϕ ( y ) ≥ V ( y ) {\displaystyle...
pseudo-Riemannian manifold) that preserves the metric. Killing fields are the infinitesimalgenerators of isometries; that is, flows generated by Killing fields are continuous...
the infinitesimalgenerator of a C0-semigroup on X {\displaystyle X} . Roughly speaking, if − A ( t ) {\displaystyle -A(t)} is the infinitesimal generator...
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