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user473085
user473085
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enter image description here

This is a paper written by Series "THE MODULAR SURFACE AND CONTINUED FRACTIONS".

I want to know about above construction natural invariant measure $\mu$ for the geodesic flow on $T_{1}M$ where M is the modular surface. Moreover, I want to know this coordinatization following measure. [6] is an article by E. Hopf, 'Ergodentheorie', Abh. Sächs. Akad. Wiss. Leipzig, 91 (1939), but the construction of this measure does not seem to go into much detail. If anyone knows more about it, I'd like to know how to construct it and whether the product measure is an invariant measure. Is this method of construction well known?

enter image description here

This is a paper written by Series "THE MODULAR SURFACE AND CONTINUED FRACTIONS".

I want to know about above construction natural invariant measure $\mu$ for the geodesic flow on $T_{1}M$ where M is the modular surface. Moreover, I want to know this coordinatization following measure. [6] is an article by E. Hopf, 'Ergodentheorie', Abh. Sächs. Akad. Wiss. Leipzig, 91 (1939), but the construction of this measure does not seem to go into much detail. If anyone knows more about it, I'd like to know how to construct it. Is this method of construction well known?

enter image description here

This is a paper written by Series "THE MODULAR SURFACE AND CONTINUED FRACTIONS".

I want to know about above construction natural invariant measure $\mu$ for the geodesic flow on $T_{1}M$ where M is the modular surface. Moreover, I want to know this coordinatization following measure. [6] is an article by E. Hopf, 'Ergodentheorie', Abh. Sächs. Akad. Wiss. Leipzig, 91 (1939), but the construction of this measure does not seem to go into much detail. If anyone knows more about it, I'd like to know how to construct it and whether the product measure is an invariant measure.

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edit approved Aug 25, 2023 at 6:49
A. J. Pan-Collantes
edit approved Aug 25, 2023 at 6:49
A. J. Pan-Collantes
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invariant Invariant measure of geodesic flow on unit tanngenttangent bundle of a modular surface

enter image description here

This is a paper written by Series "THE MODULAR SURFACE AND CONTINUED FRACTIONS" I.

I want to know about abobeabove construction natural invariant measure $\mu$ for the geodesic flow on $T_{1}M$ where M is the modular surface. Moreover, I want to know this coordinatization following measure. [6] is an article by E. Hopf, 'Ergodentheorie', Abh. Sächs. Akad. Wiss. Leipzig, 91 (1939), but the construction of this measure does not seem to go into much detail. If anyone knows more about it, I'd like to know how to construct it. Is this method of construction well known?

invariant measure of geodesic flow on unit tanngent bundle of modular surface

enter image description here

This is a paper written by Series "THE MODULAR SURFACE AND CONTINUED FRACTIONS" I want to know about abobe construction natural invariant measure $\mu$ for the geodesic flow on $T_{1}M$ where M is the modular surface. Moreover, I want to know this coordinatization following measure. [6] is an article by E. Hopf, 'Ergodentheorie', Abh. Sächs. Akad. Wiss. Leipzig, 91 (1939), but the construction of this measure does not seem to go into much detail. If anyone knows more about it, I'd like to know how to construct it. Is this method of construction well known?

Invariant measure of geodesic flow on unit tangent bundle of a modular surface

enter image description here

This is a paper written by Series "THE MODULAR SURFACE AND CONTINUED FRACTIONS".

I want to know about above construction natural invariant measure $\mu$ for the geodesic flow on $T_{1}M$ where M is the modular surface. Moreover, I want to know this coordinatization following measure. [6] is an article by E. Hopf, 'Ergodentheorie', Abh. Sächs. Akad. Wiss. Leipzig, 91 (1939), but the construction of this measure does not seem to go into much detail. If anyone knows more about it, I'd like to know how to construct it. Is this method of construction well known?

Source Link
user473085
user473085
  • 73
  • 5

invariant measure of geodesic flow on unit tanngent bundle of modular surface

enter image description here

This is a paper written by Series "THE MODULAR SURFACE AND CONTINUED FRACTIONS" I want to know about abobe construction natural invariant measure $\mu$ for the geodesic flow on $T_{1}M$ where M is the modular surface. Moreover, I want to know this coordinatization following measure. [6] is an article by E. Hopf, 'Ergodentheorie', Abh. Sächs. Akad. Wiss. Leipzig, 91 (1939), but the construction of this measure does not seem to go into much detail. If anyone knows more about it, I'd like to know how to construct it. Is this method of construction well known?