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Publications in Math-Net.Ru |
Citations |
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2023 |
| 1. |
Yu. A. Al'pin, V. S. Al'pina, “Ergodicity index of the set of stochastic matrices”, Zap. Nauchn. Sem. POMI, 524 (2023), 7–17  |
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2019 |
| 2. |
Yu. A. Alpin, V. S. Al'pina, “A New Proof of the Protasov–Voynov Theorem on Semigroups of Nonnegative Matrices”, Mat. Zametki, 105:6 (2019), 807–815   ; Math. Notes, 105:6 (2019), 805–811   |
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2018 |
| 3. |
Yu. A. Al'pin, V. S. Al'pina, “Indices of imprimitivity of the temporal components of a semigroup of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 472 (2018), 17–30 |
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2017 |
| 4. |
Yu. A. Al'pin, V. S. Al'pina, “Temporal components of a semigroup of nonnegative matrices. A generalization of Minc's theorem on the structure of an irreducible matrix”, Zap. Nauchn. Sem. POMI, 463 (2017), 5–12 ; J. Math. Sci. (N. Y.), 232:6 (2018), 747–751 |
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2016 |
| 5. |
Yu. A. Al'pin, V. S. Al'pina, “Combinatorial structure of $k$-semiprimitive matrix families”, Mat. Sb., 207:5 (2016), 3–16 ; Sb. Math., 207:5 (2016), 639–651 |
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| 6. |
Yu. A. Al'pin, V. S. Al'pina, “Locally strongly primitive semigroups of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 453 (2016), 5–14 ; J. Math. Sci. (N. Y.), 224:6 (2017), 815–820 |
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2015 |
| 7. |
Yu. A. Al'pin, V. S. Al'pina, “Combinatorial and spectral properties of semigroups of stochastic matrices”, Zap. Nauchn. Sem. POMI, 439 (2015), 13–25 ; J. Math. Sci. (N. Y.), 216:6 (2016), 730–737 |
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2014 |
| 8. |
Yu. A. Al'pin, V. S. Al'pina, “Combinatorial properties of entire semigroups of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 428 (2014), 13–31 ; J. Math. Sci. (N. Y.), 207:5 (2015), 674–685 |
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2012 |
| 9. |
Yu. A. Alpin, V. S. Alpina, “On the normal form of a stochastic matrix”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012), 60–72 |
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| 10. |
Yu. A. Al'pin, V. S. Al'pina, “Combinatorial properties of irreducible semigroups of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 405 (2012), 13–23 ; J. Math. Sci. (N. Y.), 191:1 (2013), 4–9 |
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2008 |
| 11. |
Yu. A. Al'pin, V. S. Al'pina, “The Perron–Frobenius theorem – a proof with the use of Markov chains”, Zap. Nauchn. Sem. POMI, 359 (2008), 5–16  ; J. Math. Sci. (N. Y.), 157:5 (2009), 675–680 |
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2004 |
| 12. |
V. S. Al'pina, Yu. A. Alpin, “Permanental compound matrices and Schneider's theorem”, Zap. Nauchn. Sem. POMI, 309 (2004), 5–16 ; J. Math. Sci. (N. Y.), 132:2 (2006), 147–152 |
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