Alpin Yuri Abdullovich

Publications in Math-Net.Ru

1. Chainable properties of semigroups of nonnegative matrices
   
   Sib. Èlektron. Mat. Izv., 21:2 (2024),  810–822
2. Ergodicity Coefficient. New Proofs of Known Properties
   
   Mat. Zametki, 114:6 (2023),  803–807
3. Ergodicity index of the set of stochastic matrices
   
   Zap. Nauchn. Sem. POMI, 524 (2023),  7–17
4. An upper bound for the chainable index
   
   Zap. Nauchn. Sem. POMI, 514 (2022),  5–17
5. Combinatorial structure of a semigroup of bistochastic matrices
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 9,  80–85
6. Nonnegative chainable matrices and Kolmogorov's condition
   
   Zap. Nauchn. Sem. POMI, 504 (2021),  5–20
7. Nonnegative chainable matrices
   
   Zap. Nauchn. Sem. POMI, 496 (2020),  5–25
8. A New Proof of the Protasov–Voynov Theorem on Semigroups of Nonnegative Matrices
   
   Mat. Zametki, 105:6 (2019),  807–815
9. Indices of imprimitivity of the temporal components of a semigroup of nonnegative matrices
   
   Zap. Nauchn. Sem. POMI, 472 (2018),  17–30
10. 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
11. Combinatorial structure of $k$-semiprimitive matrix families
    
    Mat. Sb., 207:5 (2016),  3–16
12. Locally strongly primitive semigroups of nonnegative matrices
    
    Zap. Nauchn. Sem. POMI, 453 (2016),  5–14
13. Combinatorial and spectral properties of semigroups of stochastic matrices
    
    Zap. Nauchn. Sem. POMI, 439 (2015),  13–25
14. Combinatorial properties of entire semigroups of nonnegative matrices
    
    Zap. Nauchn. Sem. POMI, 428 (2014),  13–31
15. Harary's theorem on signed graphs and reversibility of Markov chains
    
    Zap. Nauchn. Sem. POMI, 419 (2013),  5–15
16. On the normal form of a stochastic matrix
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  60–72
17. Combinatorial properties of irreducible semigroups of nonnegative matrices
    
    Zap. Nauchn. Sem. POMI, 405 (2012),  13–23
18. A criterion for unitary congruence between complex matrices
    
    Zap. Nauchn. Sem. POMI, 395 (2011),  9–19
19. Bounds for Joint Spectral Radii of a Set of Nonnegative Matrices
    
    Mat. Zametki, 87:1 (2010),  13–16
20. A formula for the Perron vector of a stochastic matrix
    
    Zap. Nauchn. Sem. POMI, 367 (2009),  5–8
21. The Perron–Frobenius theorem – a proof with the use of Markov chains
    
    Zap. Nauchn. Sem. POMI, 359 (2008),  5–16
22. Joint bounds for the Perron roots of nonnegative matrices with applications
    
    Zap. Nauchn. Sem. POMI, 334 (2006),  30–56
23. The generalized monotonicity property of the Perron root
    
    Zap. Nauchn. Sem. POMI, 334 (2006),  13–29
24. The matrix equation $AX-YB=C$ and related problems
    
    Zap. Nauchn. Sem. POMI, 323 (2005),  15–23
25. Unitary similarity of algebras generated by pairs of orthoprojectors
    
    Zap. Nauchn. Sem. POMI, 323 (2005),  5–14
26. Permanental compound matrices and Schneider's theorem
    
    Zap. Nauchn. Sem. POMI, 309 (2004),  5–16
27. On the Unitary Similarity of Matrix Families
    
    Mat. Zametki, 74:6 (2003),  815–826
28. Infinite extensions of Toeplitz matrices
    
    Zap. Nauchn. Sem. POMI, 296 (2003),  5–14
29. Powers of sign portraits of real matrices
    
    Zap. Nauchn. Sem. POMI, 284 (2002),  5–17
30. On the Simultaneous Triangulability of Matrices
    
    Mat. Zametki, 68:5 (2000),  648–652
31. Rational procedures in the problem of common invariant subspaces of two matrices
    
    Zap. Nauchn. Sem. POMI, 268 (2000),  9–23
32. Improvement of Frobenius bounds for the Perron root of a non-negative matrix
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  131–138
33. On an analogue of Specht's criterion for unitary equivalence of matrices for the case of an arbitrary field
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 4,  3–6
34. Bounds for the Perron root of a nonnegative matrix involving the properties of its graph
    
    Mat. Zametki, 58:4 (1995),  635–637
35. The influence of the position of the zeros in a non-negative matrix on the convergence of the algorithm for computing its Perron root
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:5 (1994),  770–775
36. An extension of generalized Hankel matrices
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 5,  35–39
37. A remark on the problem locating the eigenvalues of real matrices
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 11,  98–100
38. A sufficiency test for nonrepresentability of languages in finite-state probabilistic automata
    
    Dokl. Akad. Nauk SSSR, 223:4 (1975),  777–780
39. The structure of the lexical functions that can be represented in finite-dimensional linear automata
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 7,  3–9


40. Algebraic studies at Kazan University from V. V. Morozov to our days
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  44–59