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Brownian flow on a finite interval with jump boundary conditions
1.  Department of Mathematics, Box B6230, Baruch College  CUNY, One Bernard Baruch Way, New York, NY 10010, United States 
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Oliver Jenkinson. Every ergodic measure is uniquely maximizing. Discrete and Continuous Dynamical Systems, 2006, 16 (2) : 383392. doi: 10.3934/dcds.2006.16.383 
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Polona Durcik, Rachel Greenfeld, Annina Iseli, Asgar Jamneshan, José Madrid. An uncountable ergodic Roth theorem and applications. Discrete and Continuous Dynamical Systems, 2022, 42 (11) : 55095540. doi: 10.3934/dcds.2022111 
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Cecilia GonzálezTokman, Anthony Quas. A concise proof of the multiplicative ergodic theorem on Banach spaces. Journal of Modern Dynamics, 2015, 9: 237255. doi: 10.3934/jmd.2015.9.237 
[4] 
Shrey Sanadhya. A shrinking target theorem for ergodic transformations of the unit interval. Discrete and Continuous Dynamical Systems, 2022, 42 (8) : 40034011. doi: 10.3934/dcds.2022042 
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Jon Chaika, Howard Masur. There exists an interval exchange with a nonergodic generic measure. Journal of Modern Dynamics, 2015, 9: 289304. doi: 10.3934/jmd.2015.9.289 
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Jialu Fang, Yongluo Cao, Yun Zhao. Measure theoretic pressure and dimension formula for nonergodic measures. Discrete and Continuous Dynamical Systems, 2020, 40 (5) : 27672789. doi: 10.3934/dcds.2020149 
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Nuno Luzia. On the uniqueness of an ergodic measure of full dimension for nonconformal repellers. Discrete and Continuous Dynamical Systems, 2017, 37 (11) : 57635780. doi: 10.3934/dcds.2017250 
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Tomasz Downarowicz, Benjamin Weiss. Pure strictly uniform models of nonergodic measure automorphisms. Discrete and Continuous Dynamical Systems, 2022, 42 (2) : 863884. doi: 10.3934/dcds.2021140 
[9] 
Yuri Kifer. Ergodic theorems for nonconventional arrays and an extension of the Szemerédi theorem. Discrete and Continuous Dynamical Systems, 2018, 38 (6) : 26872716. doi: 10.3934/dcds.2018113 
[10] 
Alex Blumenthal. A volumebased approach to the multiplicative ergodic theorem on Banach spaces. Discrete and Continuous Dynamical Systems, 2016, 36 (5) : 23772403. doi: 10.3934/dcds.2016.36.2377 
[11] 
Luciana A. Alves, Luiz A. B. San Martin. Multiplicative ergodic theorem on flag bundles of semisimple Lie groups. Discrete and Continuous Dynamical Systems, 2013, 33 (4) : 12471273. doi: 10.3934/dcds.2013.33.1247 
[12] 
Oliver Jenkinson. Ergodic Optimization. Discrete and Continuous Dynamical Systems, 2006, 15 (1) : 197224. doi: 10.3934/dcds.2006.15.197 
[13] 
Vladimir S. Matveev and Petar J. Topalov. Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. Electronic Research Announcements, 2000, 6: 98104. 
[14] 
Françoise Demengel. Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators. Discrete and Continuous Dynamical Systems, 2021, 41 (7) : 34653488. doi: 10.3934/dcds.2021004 
[15] 
Yves Derriennic. Some aspects of recent works on limit theorems in ergodic theory with special emphasis on the "central limit theorem''. Discrete and Continuous Dynamical Systems, 2006, 15 (1) : 143158. doi: 10.3934/dcds.2006.15.143 
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Isabeau Birindelli, Françoise Demengel, Fabiana Leoni. Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem. Discrete and Continuous Dynamical Systems, 2021, 41 (7) : 30213029. doi: 10.3934/dcds.2020395 
[17] 
Kai Tao. Strong Birkhoff ergodic theorem for subharmonic functions with irrational shift and its application to analytic quasiperiodic cocycles. Discrete and Continuous Dynamical Systems, 2022, 42 (3) : 14951533. doi: 10.3934/dcds.2021162 
[18] 
Ryszard Rudnicki. An ergodic theory approach to chaos. Discrete and Continuous Dynamical Systems, 2015, 35 (2) : 757770. doi: 10.3934/dcds.2015.35.757 
[19] 
Roy Adler, Bruce Kitchens, Michael Shub. Stably ergodic skew products. Discrete and Continuous Dynamical Systems, 1996, 2 (3) : 349350. doi: 10.3934/dcds.1996.2.349 
[20] 
Alexandre I. Danilenko, Mariusz Lemańczyk. Spectral multiplicities for ergodic flows. Discrete and Continuous Dynamical Systems, 2013, 33 (9) : 42714289. doi: 10.3934/dcds.2013.33.4271 
2021 Impact Factor: 1.497
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