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Volumn 123, Issue 1, 1997, Pages 61-70

The circle problem on surfaces of variable negative curvature

Author keywords

Negative curvature; Orbit counting; Poincar series; Thermodynamic formalism

Indexed keywords


EID: 0039924041     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01316937     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 33646861537 scopus 로고
    • Renewal theorems in symbolic dynamics with applications to geodesic flows, noneuclidean tesselations and their fractal limits
    • LALLEY, S.: Renewal theorems in symbolic dynamics with applications to geodesic flows, noneuclidean tesselations and their fractal limits. Acta Math. 163, 1-55 (1990).
    • (1990) Acta Math. , vol.163 , pp. 1-55
    • Lalley, S.1
  • 3
    • 0000671679 scopus 로고
    • The asymptotic distribution of lattice points in Euclidean and non Euclidean spaces
    • LAX, P., PHILLIPS, R.: The asymptotic distribution of lattice points in Euclidean and non Euclidean spaces. J. Funct. Anal. 46, 280-350 (1982).
    • (1982) J. Funct. Anal. , vol.46 , pp. 280-350
    • Lax, P.1    Phillips, R.2
  • 4
    • 0039476596 scopus 로고
    • On some applications of ergodic theory to the study of manifolds of negative curvature
    • MARGULIS, G.: On some applications of ergodic theory to the study of manifolds of negative curvature. Funct. Anal. Appl. 3, 89-90 (1969).
    • (1969) Funct. Anal. Appl. , vol.3 , pp. 89-90
    • Margulis, G.1
  • 5
    • 0000271607 scopus 로고
    • Zeta functions and the periodic orbit structure of hyperbolic dynamics
    • PARRY, W., POLLICOTT, M.: Zeta functions and the periodic orbit structure of hyperbolic dynamics. Astérisque 187-188, 1-268 (1990).
    • (1990) Astérisque , vol.187-188 , pp. 1-268
    • Parry, W.1    Pollicott, M.2
  • 6
    • 0039476587 scopus 로고
    • On a lattice point problem in hyperbolic space and related questions in spectral theory
    • PATTERSON, S.: On a lattice point problem in hyperbolic space and related questions in spectral theory. Arkiv Mat. 26, 167-172 (1988).
    • (1988) Arkiv Mat. , vol.26 , pp. 167-172
    • Patterson, S.1
  • 7
    • 0037673876 scopus 로고
    • Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature
    • POLLICOTT, M., SHARP, R.: Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature. Invent. Math. 117, 275-302 (1994).
    • (1994) Invent. Math. , vol.117 , pp. 275-302
    • Pollicott, M.1    Sharp, R.2
  • 10
    • 0001196157 scopus 로고
    • Symbolic dynamics for geodesic flows
    • SERIES, C.: Symbolic dynamics for geodesic flows. Acta Math. 146, 103-128 (1981).
    • (1981) Acta Math. , vol.146 , pp. 103-128
    • Series, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.