01.01.01 (Real analysis, complex analysis, and functional analysis)
Main publications:
Dinamicheskie sistemy, ergodicheskaya teoriya, formalnye yazyki / A. N. Livshits ; pod red. A. A. Lodkina. - Sankt-Peterburg : R-KOPI, 2014. - 287 s.; ISBN 978-5-9905649-6
A. N. Livshits, “Some applications of computer to investigation of substitutional dynamical systems”, Zap. Nauchn. Sem. POMI, 240 (1997), 147–153; J. Math. Sci. (New York), 96:5 (1999), 3537–3541
1995
2.
A. N. Livshits, “On some properties of the decoding of admissible words for primitive substitutions”, Zap. Nauchn. Sem. POMI, 223 (1995), 127–136; J. Math. Sci. (New York), 87:6 (1997), 4059–4064
1994
3.
A. N. Livshits, “On the sums of coordinate random variables for a certain class of substitutional dynamical systems”, Zap. Nauchn. Sem. POMI, 216 (1994), 104–109; J. Math. Sci. (New York), 88:1 (1998), 72–75
4.
A. N. Livshits, “On the limit distributions and the asymptotics of extremal values for some sequences of random variables”, Zap. Nauchn. Sem. POMI, 216 (1994), 86–103; J. Math. Sci. (New York), 88:1 (1998), 59–71
1991
5.
A. N. Livshits, “On the construction of Markov compact sets”, Algebra i Analiz, 3:1 (1991), 165–175; St. Petersburg Math. J., 3:1 (1992), 137–146
A. N. Livshits, “A sufficient condition for weak mixing of substitutions and stationary adic transformations”, Mat. Zametki, 44:6 (1988), 785–793; Math. Notes, 44:6 (1988), 920–925
A. N. Livshits, “On the spectra of adic transformations of Markov compacta”, Uspekhi Mat. Nauk, 42:3(255) (1987), 189–190; Russian Math. Surveys, 42:3 (1987), 222–223
A. N. Livshits, “On the isomorphism problem for Bernoulli schemes”, Teor. Veroyatnost. i Primenen., 19:2 (1974), 409–416; Theory Probab. Appl., 19:2 (1975), 394–399
A. N. Livshits, Ya. G. Sinai, “On invariant measures compatible with the smooth structure for transitive $Y$-systems”, Dokl. Akad. Nauk SSSR, 207:5 (1972), 1039–1041
A. N. Livshits, “Periodic trajectories of automorphisms of the torus, and approximation of invariant measures”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 4, 64–66
1980
14.
A. N. Livshits, “Letter to the editor”, Teor. Veroyatnost. i Primenen., 25:1 (1980), 217–218; Theory Probab. Appl., 25:1 (1980), 214–215