An introduction to infinite ergodic theory. Zbl 0882.28013
Aaronson, Jon |
|
1997
|
Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002
Aaronson, Jon; Denker, Manfred |
|
2001
|
Ergodic theory for Markov fibred systems and parabolic rational maps. Zbl 0789.28010
Aaronson, Jon; Denker, Manfred; Urbański, Mariusz |
|
1993
|
The asymptotic distributional behaviour of transformations preserving infinite measures. Zbl 0499.28013
Aaronson, Jon |
|
1981
|
Random f-expansions. Zbl 0658.60050
Aaronson, Jon. |
|
1986
|
Strong laws for \(L\)- and \(U\)-statistics. Zbl 0863.60032
Aaronson, J.; Burton, R.; Dehling, H.; Gilat, D.; Hill, T.; Weiss, B. |
|
1996
|
Ergodic theory for inner functions of the upper half plane. Zbl 0378.28009
Aaronson, Jon |
|
1978
|
Mixing properties of Markov operators and ergodic transformations, and ergodicity of Cartesian products. Zbl 0438.28018
Aaronson, Jonathan; Lin, Michael; Weiss, Benjamin |
|
1979
|
Rational ergodicity and a metric invariant for Markov shifts. Zbl 0376.28011
Aaronson, Jon |
|
1977
|
On the ergodic theory of non-integrable functions and infinite measure spaces. Zbl 0376.28018
Aaronson, Jon |
|
1977
|
An algebraic construction of a class of one-dependent processes. Zbl 0681.60038
Aaronson, Jon; Gilat, David; Keane, Michael; de Valk, Vincent |
|
1989
|
Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010
Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R. |
|
2004
|
\(L_{\infty}\) eigenvalues and \(L_ 2\) spectra of non-singular transformations. Zbl 0636.28010
Aaronson, Jon; Nadkarni, Mahendra |
|
1987
|
A local limit theorem for stationary processes in the domain of attraction of a normal distribution. Zbl 1017.60025
Aaronson, Jon; Denker, Manfred |
|
2001
|
Characteristic functions of random variables attracted to 1-stable laws. Zbl 0937.60005
Aaronson, Jon; Denker, Manfred |
|
1998
|
The Poincaré series of \(\mathbb{C}\backslash \mathbb{Z}\). Zbl 0920.30036
Aaronson, Jon; Denker, Manfred |
|
1999
|
The visits to zero of some deterministic random walks. Zbl 0489.60006
Aaronson, Jon; Keane, Michael |
|
1982
|
Trimmed sums for non-negative, mixing stationary processes. Zbl 1075.60511
Aaronson, Jon; Nakada, Hitoshi |
|
2003
|
Invariant measures and asymptotics for some skew products. Zbl 1006.28013
Aaronson, Jon; Nakada, Hitoshi; Sarig, Omri; Solomyak, Rita |
|
2002
|
Occupation times of sets of infinite measure for ergodic transformations. Zbl 1098.37007
Aaronson, Jon; Thaler, Maximilian; Zweimüller, Roland |
|
2005
|
Rational ergodicity, bounded rational ergodicity and some continuous measures on the circle. Zbl 0438.28017
Aaronson, J. |
|
1979
|
On the mixing coefficients of piecewise monotonic maps. Zbl 1085.37030
Aaronson, Jon; Nakada, Hitoshi |
|
2005
|
A remark on the exactness of inner functions. Zbl 0455.30024
Aaronson, J. |
|
1981
|
On the structure of 1-dependent Markov chains. Zbl 0754.60070
Aaronson, Jon; Gilat, David; Keane, Michael |
|
1992
|
Upper bounds for ergodic sums of infinite measure preserving transformations. Zbl 0705.28007
Aaronson, Jon; Denker, Manfred |
|
1990
|
The eigenvalues of non-singular transformations. Zbl 0554.28014
Aaronson, Jon |
|
1983
|
Limit theory for some positive stationary processes with infinite mean. Zbl 1291.60067
Aaronson, Jon; Zweimüller, Roland |
|
2014
|
An ergodic theorem with large normalising constants. Zbl 0468.60036
Aaronson, Jon |
|
1981
|
Remarks on the tightness of cocycles. Zbl 0980.28010
Aaronson, Jon; Weiss, Benjamin |
|
2000
|
The intrinsic normalising constants of transformations preserving infinite measures. Zbl 0644.28013
Aaronson, Jon |
|
1987
|
Rational weak mixing in infinite measure spaces. Zbl 1287.37006
Aaronson, Jon |
|
2013
|
Second order ergodic theorems for ergodic transformations of infinite measure spaces. Zbl 0738.28011
Aaronson, Jon; Denker, Manfred; Fisher, Albert M. |
|
1992
|
Predictability, entropy and information of infinite transformations. Zbl 1187.37014
Aaronson, Jon; Park, Kyewon Koh |
|
2009
|
Rational ergodicity of geodesic flows. Zbl 0599.58029
Aaronson, Jon; Sullivan, Dennis |
|
1984
|
Koksma’s inequality and group extensions of Kronecker transformations. Zbl 0878.28009
Aaronson, Jon; Lemańczyk, Mariusz; Mauduit, Christian; Nakada, Hitoshi |
|
1995
|
Group extensions of Gibbs-Markov maps. Zbl 1028.37003
Aaronson, Jon; Denker, Manfred |
|
2002
|
Relative complexity of random walks in random sceneries. Zbl 1258.37004
Aaronson, Jon |
|
2012
|
On Herman’s theorem for ergodic, amenable group extensions of endomorphisms. Zbl 1087.37004
Aaronson, Jon; Weiss, Benjamin |
|
2004
|
Isomorphism of random walks. Zbl 0804.60057
Aaronson, Jon; Keane, Michael |
|
1994
|
On the asymptotics of a \(1\)-parameter family of infinite measure preserving transformations. Zbl 0981.28012
Aaronson, Jon; Weiss, Benjamin |
|
1998
|
Exchangeable measures for subshifts. Zbl 1110.60025
Aaronson, J.; Nakada, H.; Sarig, O. |
|
2006
|
Tail-invariant measures for some suspension semiflows. Zbl 1001.28009
Aaronson, Jon; Sarig, Omri; Solomyak, Rita |
|
2002
|
Lower bounds for partial sums of certain positive stationary processes. Zbl 0698.60023
Aaronson, Jon; Denker, Manfred |
|
1989
|
On multiple recurrence and other properties of ‘nice’ infinite measure-preserving transformations. Zbl 1377.37007
Aaronson, Jon; Nakada, Hitoshi |
|
2017
|
On the pointwise ergodic behaviour of transformations preserving infinite measures. Zbl 0462.28015
Aaronson, Jon |
|
1979
|
IP-rigidity and eigenvalue groups. Zbl 1309.37013
Aaronson, Jon; Hosseini, Maryam; Lemańczyk, Mariusz |
|
2014
|
Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063
Aaronson, Jon; Liggett, Thomas; Picco, Pierre |
|
1994
|
A cut salad of cocyles. Zbl 0966.28010
Aaronson, Jon; Lemańczyk, Mariusz; Volný, Dalibor |
|
1998
|
Symmetric Birkhoff sums in infinite ergodic theory. Zbl 1380.37008
Aaronson, Jon; Kosloff, Zemer; Weiss, Benjamin |
|
2017
|
Local limit theorems for suspended semiflows. Zbl 1456.37037
Aaronson, Jon; Terhesiu, Dalia |
|
2020
|
Discrepancy skew products and affine random walks. Zbl 1407.37004
Aaronson, Jon; Bromberg, Michael; Nakada, Hitoshi |
|
2017
|
Exponential chi-squared distributions in infinite ergodic theory. Zbl 1350.37008
Aaronson, Jon; Sarig, Omri |
|
2014
|
Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries. Zbl 1100.37001
Aaronson, Jon; Lemańczyk, Mariusz |
|
2005
|
Multiple recurrence of Markov shifts and other infinite measure preserving transformations. Zbl 0955.28011
Aaronson, Jon; Nakada, Hitoshi |
|
2000
|
Associated actions and uniqueness of cocycles. Zbl 1008.37003
Aaronson, Jon; Hamachi, Toshihiro; Schmidt, Klaus |
|
1995
|
On exact group extensions. Zbl 1115.37301
Aaronson, Jon; Denker, Manfred |
|
2000
|
Category theorems for some ergodic multiplier properties. Zbl 0603.28020
Aaronson, Jon |
|
1985
|
Conditions for rational weak mixing. Zbl 1354.37011
Aaronson, Jon. |
|
2016
|
On the structure of stable random walks. Zbl 0802.60063
Aaronson, Jon |
|
1994
|
On the FLIL for certain \(\psi\)-mixing processes and infinite measure preserving transformations. Zbl 0734.60033
Aaronson, Jon; Denker, Manfred |
|
1991
|
Rigid sets in the plane. Zbl 0717.46013
Aaronson, Jon; Glasner, Eli; Misiurewicz, Michal |
|
1989
|
Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations. Zbl 1404.37008
Aaronson, Jon; Weiss, Benjamin |
|
2018
|
Generic distributional limits for measure preserving transformations. Zbl 0539.28009
Aaronson, Jon; Weiss, Benjamin |
|
1984
|
An overview of infinite ergodic theory. Zbl 0974.37006
Aaronson, Jon |
|
2000
|
On the pointwise ergodic behaviour of transformations preserving infinite measures. Zbl 0426.28015
Aaronson, Jon |
|
1979
|
On the categories of ergodicity when the measure is infinite. Zbl 0426.28016
Aaronson, Jon |
|
1979
|
On the bounded cohomology of ergodic group actions. Zbl 1461.37005
Aaronson, Jon; Weiss, Benjamin |
|
2020
|
Distributional limits for hyperbolic infinite volume geodesic flows. Zbl 0930.37009
Aaronson, J.; Denker, M. |
|
1997
|
Absolutely continuous, invariant measures for dissipative, ergodic transformations. Zbl 1142.37002
Aaronson, Jon; Meyerovitch, Tom |
|
2008
|
Exchangeable, Gibbs and equilibrium measures for Markov subshifts. Zbl 1110.37006
Aaronson, J.; Nakada, H. |
|
2007
|
Sur le jeu de Saint-Petersbourg. Zbl 0375.90081
Aaronson, Jon |
|
1978
|
Local limit theorems for suspended semiflows. Zbl 1456.37037
Aaronson, Jon; Terhesiu, Dalia |
|
2020
|
On the bounded cohomology of ergodic group actions. Zbl 1461.37005
Aaronson, Jon; Weiss, Benjamin |
|
2020
|
Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations. Zbl 1404.37008
Aaronson, Jon; Weiss, Benjamin |
|
2018
|
On multiple recurrence and other properties of ‘nice’ infinite measure-preserving transformations. Zbl 1377.37007
Aaronson, Jon; Nakada, Hitoshi |
|
2017
|
Symmetric Birkhoff sums in infinite ergodic theory. Zbl 1380.37008
Aaronson, Jon; Kosloff, Zemer; Weiss, Benjamin |
|
2017
|
Discrepancy skew products and affine random walks. Zbl 1407.37004
Aaronson, Jon; Bromberg, Michael; Nakada, Hitoshi |
|
2017
|
Conditions for rational weak mixing. Zbl 1354.37011
Aaronson, Jon. |
|
2016
|
Limit theory for some positive stationary processes with infinite mean. Zbl 1291.60067
Aaronson, Jon; Zweimüller, Roland |
|
2014
|
IP-rigidity and eigenvalue groups. Zbl 1309.37013
Aaronson, Jon; Hosseini, Maryam; Lemańczyk, Mariusz |
|
2014
|
Exponential chi-squared distributions in infinite ergodic theory. Zbl 1350.37008
Aaronson, Jon; Sarig, Omri |
|
2014
|
Rational weak mixing in infinite measure spaces. Zbl 1287.37006
Aaronson, Jon |
|
2013
|
Relative complexity of random walks in random sceneries. Zbl 1258.37004
Aaronson, Jon |
|
2012
|
Predictability, entropy and information of infinite transformations. Zbl 1187.37014
Aaronson, Jon; Park, Kyewon Koh |
|
2009
|
Absolutely continuous, invariant measures for dissipative, ergodic transformations. Zbl 1142.37002
Aaronson, Jon; Meyerovitch, Tom |
|
2008
|
Exchangeable, Gibbs and equilibrium measures for Markov subshifts. Zbl 1110.37006
Aaronson, J.; Nakada, H. |
|
2007
|
Exchangeable measures for subshifts. Zbl 1110.60025
Aaronson, J.; Nakada, H.; Sarig, O. |
|
2006
|
Occupation times of sets of infinite measure for ergodic transformations. Zbl 1098.37007
Aaronson, Jon; Thaler, Maximilian; Zweimüller, Roland |
|
2005
|
On the mixing coefficients of piecewise monotonic maps. Zbl 1085.37030
Aaronson, Jon; Nakada, Hitoshi |
|
2005
|
Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries. Zbl 1100.37001
Aaronson, Jon; Lemańczyk, Mariusz |
|
2005
|
Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010
Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R. |
|
2004
|
On Herman’s theorem for ergodic, amenable group extensions of endomorphisms. Zbl 1087.37004
Aaronson, Jon; Weiss, Benjamin |
|
2004
|
Trimmed sums for non-negative, mixing stationary processes. Zbl 1075.60511
Aaronson, Jon; Nakada, Hitoshi |
|
2003
|
Invariant measures and asymptotics for some skew products. Zbl 1006.28013
Aaronson, Jon; Nakada, Hitoshi; Sarig, Omri; Solomyak, Rita |
|
2002
|
Group extensions of Gibbs-Markov maps. Zbl 1028.37003
Aaronson, Jon; Denker, Manfred |
|
2002
|
Tail-invariant measures for some suspension semiflows. Zbl 1001.28009
Aaronson, Jon; Sarig, Omri; Solomyak, Rita |
|
2002
|
Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002
Aaronson, Jon; Denker, Manfred |
|
2001
|
A local limit theorem for stationary processes in the domain of attraction of a normal distribution. Zbl 1017.60025
Aaronson, Jon; Denker, Manfred |
|
2001
|
Remarks on the tightness of cocycles. Zbl 0980.28010
Aaronson, Jon; Weiss, Benjamin |
|
2000
|
Multiple recurrence of Markov shifts and other infinite measure preserving transformations. Zbl 0955.28011
Aaronson, Jon; Nakada, Hitoshi |
|
2000
|
On exact group extensions. Zbl 1115.37301
Aaronson, Jon; Denker, Manfred |
|
2000
|
An overview of infinite ergodic theory. Zbl 0974.37006
Aaronson, Jon |
|
2000
|
The Poincaré series of \(\mathbb{C}\backslash \mathbb{Z}\). Zbl 0920.30036
Aaronson, Jon; Denker, Manfred |
|
1999
|
Characteristic functions of random variables attracted to 1-stable laws. Zbl 0937.60005
Aaronson, Jon; Denker, Manfred |
|
1998
|
On the asymptotics of a \(1\)-parameter family of infinite measure preserving transformations. Zbl 0981.28012
Aaronson, Jon; Weiss, Benjamin |
|
1998
|
A cut salad of cocyles. Zbl 0966.28010
Aaronson, Jon; Lemańczyk, Mariusz; Volný, Dalibor |
|
1998
|
An introduction to infinite ergodic theory. Zbl 0882.28013
Aaronson, Jon |
|
1997
|
Distributional limits for hyperbolic infinite volume geodesic flows. Zbl 0930.37009
Aaronson, J.; Denker, M. |
|
1997
|
Strong laws for \(L\)- and \(U\)-statistics. Zbl 0863.60032
Aaronson, J.; Burton, R.; Dehling, H.; Gilat, D.; Hill, T.; Weiss, B. |
|
1996
|
Koksma’s inequality and group extensions of Kronecker transformations. Zbl 0878.28009
Aaronson, Jon; Lemańczyk, Mariusz; Mauduit, Christian; Nakada, Hitoshi |
|
1995
|
Associated actions and uniqueness of cocycles. Zbl 1008.37003
Aaronson, Jon; Hamachi, Toshihiro; Schmidt, Klaus |
|
1995
|
Isomorphism of random walks. Zbl 0804.60057
Aaronson, Jon; Keane, Michael |
|
1994
|
Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063
Aaronson, Jon; Liggett, Thomas; Picco, Pierre |
|
1994
|
On the structure of stable random walks. Zbl 0802.60063
Aaronson, Jon |
|
1994
|
Ergodic theory for Markov fibred systems and parabolic rational maps. Zbl 0789.28010
Aaronson, Jon; Denker, Manfred; Urbański, Mariusz |
|
1993
|
On the structure of 1-dependent Markov chains. Zbl 0754.60070
Aaronson, Jon; Gilat, David; Keane, Michael |
|
1992
|
Second order ergodic theorems for ergodic transformations of infinite measure spaces. Zbl 0738.28011
Aaronson, Jon; Denker, Manfred; Fisher, Albert M. |
|
1992
|
On the FLIL for certain \(\psi\)-mixing processes and infinite measure preserving transformations. Zbl 0734.60033
Aaronson, Jon; Denker, Manfred |
|
1991
|
Upper bounds for ergodic sums of infinite measure preserving transformations. Zbl 0705.28007
Aaronson, Jon; Denker, Manfred |
|
1990
|
An algebraic construction of a class of one-dependent processes. Zbl 0681.60038
Aaronson, Jon; Gilat, David; Keane, Michael; de Valk, Vincent |
|
1989
|
Lower bounds for partial sums of certain positive stationary processes. Zbl 0698.60023
Aaronson, Jon; Denker, Manfred |
|
1989
|
Rigid sets in the plane. Zbl 0717.46013
Aaronson, Jon; Glasner, Eli; Misiurewicz, Michal |
|
1989
|
\(L_{\infty}\) eigenvalues and \(L_ 2\) spectra of non-singular transformations. Zbl 0636.28010
Aaronson, Jon; Nadkarni, Mahendra |
|
1987
|
The intrinsic normalising constants of transformations preserving infinite measures. Zbl 0644.28013
Aaronson, Jon |
|
1987
|
Random f-expansions. Zbl 0658.60050
Aaronson, Jon. |
|
1986
|
Category theorems for some ergodic multiplier properties. Zbl 0603.28020
Aaronson, Jon |
|
1985
|
Rational ergodicity of geodesic flows. Zbl 0599.58029
Aaronson, Jon; Sullivan, Dennis |
|
1984
|
Generic distributional limits for measure preserving transformations. Zbl 0539.28009
Aaronson, Jon; Weiss, Benjamin |
|
1984
|
The eigenvalues of non-singular transformations. Zbl 0554.28014
Aaronson, Jon |
|
1983
|
The visits to zero of some deterministic random walks. Zbl 0489.60006
Aaronson, Jon; Keane, Michael |
|
1982
|
The asymptotic distributional behaviour of transformations preserving infinite measures. Zbl 0499.28013
Aaronson, Jon |
|
1981
|
A remark on the exactness of inner functions. Zbl 0455.30024
Aaronson, J. |
|
1981
|
An ergodic theorem with large normalising constants. Zbl 0468.60036
Aaronson, Jon |
|
1981
|
Mixing properties of Markov operators and ergodic transformations, and ergodicity of Cartesian products. Zbl 0438.28018
Aaronson, Jonathan; Lin, Michael; Weiss, Benjamin |
|
1979
|
Rational ergodicity, bounded rational ergodicity and some continuous measures on the circle. Zbl 0438.28017
Aaronson, J. |
|
1979
|
On the pointwise ergodic behaviour of transformations preserving infinite measures. Zbl 0462.28015
Aaronson, Jon |
|
1979
|
On the pointwise ergodic behaviour of transformations preserving infinite measures. Zbl 0426.28015
Aaronson, Jon |
|
1979
|
On the categories of ergodicity when the measure is infinite. Zbl 0426.28016
Aaronson, Jon |
|
1979
|
Ergodic theory for inner functions of the upper half plane. Zbl 0378.28009
Aaronson, Jon |
|
1978
|
Sur le jeu de Saint-Petersbourg. Zbl 0375.90081
Aaronson, Jon |
|
1978
|
Rational ergodicity and a metric invariant for Markov shifts. Zbl 0376.28011
Aaronson, Jon |
|
1977
|
On the ergodic theory of non-integrable functions and infinite measure spaces. Zbl 0376.28018
Aaronson, Jon |
|
1977
|