Begriffe des Aristoteles

Stenzel, Julia

doi:10.1007/978-3-476-00512-0_2

Search citation statements

Order By: Relevance

Paper Sections

Select...

Poisson Kernels and Their Analytic Continuations1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This Proposition is proved in [Z2,St]. A somewhat less precise statement is given in [Bou] and in Theorem 3.2 of [GS2], but the proof is hardly indicated there.…”

Section: Poisson Kernels and Their Analytic Continuationsmentioning

confidence: 98%

Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces

Zelditch¹

2014

J. Differential Geom.

View full text Add to dashboard Cite

We consider the the intersections of the complex nodal set N C λj of the analytic continuation of an eigenfunction of ∆ on a real analytic surface (M 2 , g) with the complexification of a geodesic γ. We prove that if the geodesic flow is ergodic and if γ is periodic and satisfies a generic asymmetry condition, then the intersection points N C λj ∩ γ C x,ξ condense along the real geodesic and become uniformly distributed with respect to its arc-length. We prove an analogous result for non-periodic geodesics except that the 'origin' γ x,ξ (0) is allowed to move with λ j .

show abstract

“…This Proposition is proved in [Z2,St]. A somewhat less precise statement is given in [Bou] and in Theorem 3.2 of [GS2], but the proof is hardly indicated there.…”

Section: Poisson Kernels and Their Analytic Continuationsmentioning

confidence: 98%

Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces

Zelditch¹

2014

J. Differential Geom.

View full text Add to dashboard Cite

show abstract

Begriffe des Aristoteles

Cited by 1 publication

References 14 publications

Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces

Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces

Contact Info

Product

Resources

About