Asymptotic behavior of the invariant measure for a diffusion related to an NA group

• Autorzy: Ewa Damek , Andrzej Hulanicki
• Języki publikacji: EN

Abstrakty

EN

On a Lie group NA that is a split extension of a nilpotent Lie group N by a one-parameter group of automorphisms A, the heat semigroup $μ_t$ generated by a second order subelliptic left-invariant operator $∑_{j = 0}^{m}Y_j + Y$ is considered. Under natural conditions there is a $μ̌_t$-invariant measure m on N, i.e. $μ̌_t*m = m$. Precise asymptotics of m at infinity is given for a large class of operators with Y₀,...,Yₘ generating the Lie algebra of S.

Kategorie tematyczne

• 43A80: Analysis on other specific Lie groups
• 31B25: Boundary behavior
• 22E25: Nilpotent and solvable Lie groups
• 60J60: Diffusion processes
• 22E30: Analysis on real and complex Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 104
• Numer: 2
• Strony: 285-309

Daty

wydano

2006

Twórcy

autor

Ewa Damek

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Andrzej Hulanicki

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm104-2-6