Books:

G. Keller,
Equilibrium States in Ergodic Theory,
pp. 185, Cambridge University Press (1998).

A. Greven, G. Keller, G. Warnecke (Eds.)
Entropy,
pp. 358, Princeton Series in Applied Mathematics, Princeton University Press (2003)

G. Keller,
Mathematik in den Life Sciences,
pp. 232, UTB Ulmer (2011)

Publications in Journals and Proceedings

1. G. Keller

Ergodicité et mesures invariantes pour les transformations dilatantes par morceaux d'une région bornée du plan,
C. R. Acad. Sci. Paris, Série A, 289(1979), 625-627 (Summary of my Thèse de 3me cycle).

2. G. Keller

Un théorème de la limite centrale pour une classe de transformations monotones par morceaux,
C. R. Acad. Sci. Paris, Série A, 291(1980), 155-158.

3. G. Keller

Stochastic stability in some chaotic dynamical systems,
Monatshefte Math. 94(1982), 313-333.

4. G. Keller

Stochastic stability of some one-dimensional systems,
Ergodic Theory and Related Topics. Proceedings of the Conference held in Vitte/Hiddensee 1981, pp. 123-127.

5. G. Keller

Stochastic perturbations of some strange attractors,
Dynamical Systems and Chaos. Proceedings, Sitges, 1982, pp. 192-193.

6. F. Hofbauer, G. Keller

Ergodic properties of invariant measures for piecewise monotonic transformations,
Math. Zeitschrift 180(1982), 119-140.

7. F. Hofbauer, G. Keller

Equilibrium states for piecewise monotonic transformations,
Ergod. Th. &Dynam. Sys. 2(1982), 23-43.

8. M. Denker, G. Keller

On U-statistics and v.Mises' statistics for weakly dependent processes,
Z. Wahrscheinlichkeitstheorie verw. Geb. 64(1983), 505-522.

9. G. Keller

On the rate of convergence to equilibrium in one-dimensional systems,
Commun. Math. Phys. 96(1984), 181-193.

10. F. Hofbauer, G. Keller

Zeta-functions and transfer-operators for piecewise linear transformations,
J. reine und angew. Math. 352(1984), 100-113.

11. G. Keller, G. Kersting und U. Rösler

On the asymptotic behaviour of solutions of stochastic differential equations,
Z. Wahrscheinlichkeitstheorie verw. Geb. 68(1984), 163-189.

12. G. Keller

Generalized bounded variation and applications to piecewise monotonic transformations,
Z. Wahrscheinlichkeitstheorie verw. Geb. 69(1985), 461-478.

13. M. Denker, Ch. Grillenberger, G. Keller

A note on invariance principles and v.Mises' statistics,
Metrika 32(1985), 197-214.

14. M. Denker, G. Keller

Rigorous statistical procedures for data from dynamical systems,
J. Stat. Phys. 44(1986), 67-93.

15. M. Denker, G. Keller, M.L. Puri

Linear rank statistics, bounded operators and weak convergence,
New Perspectives in Theoretical and Applied Statistics, Wiley Publ. (1986), 171-206.

16. G. Keller, G. Kersting, U. Rösler)

On the asymptotic behaviour of time-discrete stochastic growth processes,
Annals Prob. 15(1987), 305-343.

17. G. Keller, G. Kersting, U. Rösler

On the asymptotic behaviour of first passage times for diffusions,
Prob. Th. Rel. Fields 77(1988), 379-395.

18. J.L. van Hemmen, G. Keller, R. Kühn

Forgetful memories,
Europhysics Letters 5(1988), 663-668.

19. G. Keller
Markov extensions, zeta-functions, and Fredholm theory for piecewise invertible dynamical systems,
Trans. Amer. Math. Soc. 314(1989), 433-497.

20. G. Keller

Lifting measures to Markov extensions,
Monatsh. Math. 108(1989), 183-200.

21. G. Keller

Exponents, attractors, and Hopf decompositions for interval maps,
Ergod. Th. &Dynam. Sys. 10(1990), 717-744.

22. G. Keller

Periodic orbits for interval maps,
in ``Stochastic Modelling in Biology'' edited by P. Tautu, pp. 412-419. World Scientific, Singapore (1990).

23. V. Baladi, G. Keller

Zeta-functions and transfer operators for piecewise monotone transformations,
Commun. Math. Phys. 127(1990), 459-478.

24. M. Denker, G. Keller, M. Urbanski

On the uniqueness of equilibrium states for piecewise monotone mappings,
Studia Math. 97(1990), 27-36.

25. F. Hofbauer, G. Keller

Quadratic maps without asymptotic measure,
Commun. Math. Phys. 127(1990), 319-337.

26. F. Hofbauer, G. Keller

Some remarks about recent results on S-unimodal maps,
Annales de l'Institut Henri Poincaré, Physique Théorique 53(1990), 413-425.

27. G. Keller

On the clustering conjecture for Bernoulli factors of Bernoulli shifts,
Proc. Amer. Math. Soc. 111(1991), 51-53.

28. G. Keller

Circular codes, loop counting, and zeta-functions,
J. Comb. Th., Series A, 56(1991), 75-83.

29. G. Keller

Lyapunov exponents and complexity for interval maps,
in ``Lyapunov Exponents'', edited by L. Arnold et al. Springer Lecture Notes in Mathematics 1486 (1991).

30. G. Keller, M. Künzle

Transfer operators for coupled map lattices,
Ergod. Th. &Dynam. Sys. 12(1992), 297-318.

31. G. Keller, M. Künzle, T. Nowicki

Some phase transitions in coupled map lattices,
Physica D 59(1992), 39-51.

32. G. Keller, T. Nowicki

Spectral theory, zeta functions and the distribution of periodic orbits for Collet-Eckmann maps,
Commun. Math. Phys. 149(1992), 31-69.

33. R. Burton, G. Keller

Stationary measures for randomly chosen maps,
J. Theor. Prob. 6(1993), 1-16.

34. G. Keller

Exponential weak Bernoulli mixing for Collet-Eckmann maps,
Israel J. Math. 86(1994), 301-310.

35. G. Keller, T. Nowicki

Fibonacci maps re(al)visited,
Ergod. Th.&Dynam. Sys. 15(1995), 99-120.

36. F. Hofbauer, G. Keller

Equilibrium states and Hausdorff measures for interval maps,
Mathem. Nachrichten 164(1993), 239-257.

37. F. Hofbauer, G. Keller

Quadratic maps with maximal oscillation,
in: Algorithms, Fractals and Dynamics, Proceedings of the Hyashibara Forum 1992, Okayama, and of a Symposium held in Kyoto 1992 (Ed.: Y. Takahashi), Plenum Publ. (1995).

38. H. Bruin, G. Keller, T. Nowicki, S. van Strien

Wild Cantor attractors exist,
Ann. Math. 143(1996), 97-130.

39. G. Keller

Coupled map lattices via transfer operators on functions of bounded variation,
Stochastic and spatial structures of dynamical systems (Ed.: S.J. van Strien, S.M. Verduyn Lunel) Kon. Nederl. Akad. Wetensch. Verhandelingen, Afd. Natuurkunde, Eerste Reeks, Vol. 45(1996), 71-80. (Also available as Preprint )

40. G. Keller, R. Sporer

Remarks on the linear regression approach to dimension estimation,
Stochastic and spatial structures of dynamical systems (Ed.: S.J. van Strien, S.M. Verduyn Lunel) Kon. Nederl. Akad. Wetensch. Verhandelingen, Afd. Natuurkunde, Eerste Reeks, Vol. 45(1996), 17-28. (Also available as Preprint )

41. M. Frank, G. Keller, R. Sporer

Practical implementation of error estimation for the correlation dimension,
Phys. Review E 53(6)(1996), 5831-5836.

42. H. Bruin, G. Keller, M. St. Pierre

Adding machines and wild atractors,
Ergod. Th.&Dynam. Sys. 17(1997), 1267-1287.

43. G. Keller

A note on strange nonchaotic attractors,
Fundamenta Math. 151(1996), 139-148.

44. M. Blank, G. Keller

Stochastic stability versus localization in chaotic dynamical systems,
Nonlinearity 10(1997), 81-107

45. G. Keller

A new estimator for information dimension with standard errors and confidence intervals,
Stoch. Proc. Appl. 71(1997), 187-206.

46. H. Bruin, G. Keller

Equilibrium states for S-unimodal maps,
Ergod. Th.&Dynam. Sys. 18(1998), 765-789.

47. G. Keller

Mixing for finite systems of coupled tent maps,
Proc. Steklov Inst. Math. 216(1997), 315-321. (Also: Erwin-Schrödinger-Institut Preprint (1996))

48. G. Keller

Interval maps with strictly contracting Perron-Frobenius operators,
Int. J. Bifurc. Chaos 9(1999), 1777-1784.

49. M. Blank, G. Keller

Random perturbations of chaotic dynamical systems: Stability of the spectrum,
Nonlinearity 11(1998), 1351-1364.

50. G. Keller, C. Liverani

Stability of the spectrum for transfer operators,
Ann. Mat. Sc. Norm. Pisa 28 (1999), 141-152.

51. G. Keller

An ergodic theoretic approach to mean field coupled maps,
Progress in Probability, Vol. 46(2000), 183-208.

52. G. Keller

A note on dynamical zeta functions for S-unimodal maps,
Colloquium Mathematicum 84/85(2000), 229-233.

53. J. Buzzi, G. Keller

Zeta functions and transfer operators for multidimensional piecewise affine and expanding maps,
Ergod. Th. &Dynam. Sys. 21(2001), 690-716.

54. G. Keller, M. St.Pierre

Topological and measurable dynamics of Lorenz maps,
Research Report(2000). In: B. Fiedler (Ed.), Ergodic Theory, Analysis, and Efficient simulation of Dynamical Systems, Springer Verlag, 2001.

55. G. Keller, R. Zweimüller

Unidirectionally coupled interval maps: between dynamics and statistical mechanics,
Nonlinearity 15(2002), 1-24.

56. G. Keller

Completely mixing maps without limit measure,
Preprint(2000), Colloq. Math. 100(2004), 73-76.

57. M. Blank, G. Keller, C. Liverani

Ruelle-Perron-Frobenius spectrum for Anosov maps,
Nonlinearity 15 (2002), 1905-1973.  Preprint(2001).

58. Ch. Bandt, G. Keller, B. Pompe

Entropy of interval maps via permutations,
Nonlinearity 15(2002), 1595-1602.

59. S. Datta, T. Jäger, G. Keller, R. Ramaswamy

On the dynamics of the critical Harper map,
Nonlinearity 17 (2004), 2315-2323. Preprint

60. G. Keller, H.H. Rugh

Eigenfunctions for smooth expanding circle maps,
Nonlinearity 17 (2004), 1723-1730. Preprint

61. G. Keller, C. Liverani

Coupled map lattices without cluster expansion,
Discr. Cont. Dynam. Sys. 11 (2004), 325-335. Preprint

62. G. Keller, C. Liverani

A spectral gap for a one-dimensional lattice of coupled piecewise expanding interval maps,
in: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems (Eds.: J.-R. Chazottes, B. Fernandez), Lecture Notes in Physics 671 (2005), pp. 115-151, Springer Verlag. Preprint 

63. R. Fabbri, T. Jäger, R. Johnson, G. Keller

A Sharkovskii-type theorem for minimally forced interval maps,
Topological Methods in Nonlinear Analysis 26 (2005), 163-188. Preprint 

64. T. Jäger, G. Keller

The Denjoy type-of argument for quasiperiodically forced circle diffeomorphisms,
Ergod. Th. &Dynam. Sys. 26 (2006), 447-465. Preprint

65. G. Keller, C. Liverani

Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension,
Commun. Math. Phys. 262 (2006), 33-50. Preprint

66. P. Glendinning, T. Jäger, G. Keller

How chaotic are strange nonchaotic attractors?Nonlinearity19 (2006), 2005-2022.

67. Jean-Baptiste Bardet, G. Keller

Phase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling,
Nonlinearity19 (2006), 2193-2210. (Here is an erratum that fills two gaps in the proofs. The results are unchanged.)

68. H. Fujisaki, G. Keller

The central limit theorem for the normalized sums of the MAI for SSMA communication systems using spreading sequences of Markov chains,
IEICE Transactions of Fundamentals of Electronics, Communications and computer Sciences E89-A (2006), 2307-2314.

69. J.-B. Bardet, S. Gouëzel, G. Keller

Limit theorems for coupled interval maps, Stochastics and Dynamics 7 (2007), 17-36.
Preprint (2006)

70. D. Dolgopyat, G. Keller, C. Liverani

Random walk in Markovian environment,
Annals of Probability 36 (2008), 1676-1710. Preprint.

71. P. Howard, G. Keller, R. Klages

Continuity properties of transport coefficients in simple maps,
Nonlinearity21 (2008), 1719-1743.

72. G. Keller, C. Liverani

Rare events, escape rates and quasistationarity: some exact formulae,
Journal of Statistical Physics 135 (2009), 519-534, Preprint (2008).

73. G. Keller, C. Liverani

Map lattices coupled by collisions,
Communications in Mathematical Physics 291 (2009), 591-597, DOI:10.1007/s00220-009-0835-z, Preprint (2008).

74. J.-B. Bardet, G. Keller, R. Zweimüller

Stochastically stable globally coupled maps with bistable thermodynamic limit,
Communications in Mathematical Physics (2009), DOI 10.1007/s00220-009-0854-9, Preprint (2008).

75 G. Keller

Rare events, exponential hitting times and extremal indices via spectral perturbation,
to appear in Dynamical Systems. Preprint (2011).

Manuscripts:

1. G. Keller, Mathematische Statistik, Vorlesungsskript, pp. 93, (1992).

2. G. Keller, The Transfer operator approach to interval maps (1992).

3. G. Keller, Wahrscheinlichkeitstheorie I und II, Vorlesungsskript, pp. 196, (2002 -). (pdf)

4. G. Keller, Mathematik für Naturwissenschaftler (Biologen), pp. 135 (2007) (pdf)