Malyutin Andrei Valer'evich

Publications in Math-Net.Ru

1. Infinite midway cliques in the Gordian graph
   
   Zap. Nauchn. Sem. POMI, 549 (2025),  146–160
2. The Sklyarenko–Freudenthal resolution of a compactification of topological space and extension of mappings
   
   Zap. Nauchn. Sem. POMI, 549 (2025),  5–25
3. Faithful interpretations of Matveev's virtual manifolds
   
   Algebra i Analiz, 36:6 (2024),  82–111
4. On the growth of the number of prime knots
   
   Algebra i Analiz, 36:1 (2024),  17–39
5. Generalization of artin's theorem on the isotopy of closed braids. I
   
   Sibirsk. Mat. Zh., 65:3 (2024),  524–532
6. Birman–Hilden bundles. II
   
   Sibirsk. Mat. Zh., 65:2 (2024),  358–373
7. Birman–Hilden bundles. I
   
   Sibirsk. Mat. Zh., 65:1 (2024),  125–139
8. Hopf-type theorems for $f$-neighbors
   
   Sib. Èlektron. Mat. Izv., 20:1 (2023),  165–182
9. Lernaean knots and band surgery
   
   Algebra i Analiz, 33:1 (2021),  30–66
10. 3-manifolds represented by 4-regular graphs with three Eulerian cycles
    
    Uspekhi Mat. Nauk, 76:6(462) (2021),  197–198
11. The Rotation Number Integer Quantization Effect in Braid Groups
    
    Trudy Mat. Inst. Steklova, 305 (2019),  197–210
12. The Absolute of Finitely Generated Groups: II. The Laplacian and Degenerate Parts
    
    Funktsional. Anal. i Prilozhen., 52:3 (2018),  3–21
13. Asymptotic behavior of the number of geodesics in the discrete Heisenberg group
    
    Zap. Nauchn. Sem. POMI, 468 (2018),  39–52
14. Simple arcs in plane curves and knot diagrams
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:4 (2017),  63–76
15. Infinite geodesics in the discrete Heisenberg group
    
    Zap. Nauchn. Sem. POMI, 462 (2017),  39–51
16. Phase transition in the exit boundary problem for random walks on groups
    
    Funktsional. Anal. i Prilozhen., 49:2 (2015),  7–20
17. Pretrees and the shadow topology
    
    Algebra i Analiz, 26:2 (2014),  45–118
18. Pretrees and arborescent convexities
    
    Zap. Nauchn. Sem. POMI, 415 (2013),  75–90
19. Groups acting on dendrons
    
    Zap. Nauchn. Sem. POMI, 415 (2013),  62–74
20. Quasimorphisms, random walks, and transient subsets in countable groups
    
    Zap. Nauchn. Sem. POMI, 390 (2011),  210–236
21. Operators in the spaces of pseudocharacters of braid groups
    
    Algebra i Analiz, 21:2 (2009),  136–165
22. Pseudocharacters of braid groups, and the simplicity of linkings
    
    Algebra i Analiz, 21:2 (2009),  113–135
23. Transformation formulas for pseudo-characters of braid groups
    
    Zap. Nauchn. Sem. POMI, 372 (2009),  128–148
24. Boundaries of braid groups and the Markov–Ivanovsky normal form
    
    Izv. RAN. Ser. Mat., 72:6 (2008),  105–132
25. Characteristics of link primeness in terms of pseudo-characters
    
    Zap. Nauchn. Sem. POMI, 353 (2008),  150–161
26. Classification of the group actions on the real line and circle
    
    Algebra i Analiz, 19:2 (2007),  156–182
27. On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid
    
    Algebra i Analiz, 18:6 (2006),  205–218
28. Twisted (closed) braids
    
    Algebra i Analiz, 16:5 (2004),  59–91
29. Dehornoy order on the braid group and transformations of closed braids
    
    Algebra i Analiz, 15:3 (2003),  170–187
30. The Poisson–Furstenberg boundary of а locally free group
    
    Zap. Nauchn. Sem. POMI, 301 (2003),  195–211
31. Fast algorithms for identification and comparison of braids
    
    Zap. Nauchn. Sem. POMI, 279 (2001),  197–217
32. Orderings on braid groups, operations on closed braids, and confirmation of Menasco's conjectures
    
    Zap. Nauchn. Sem. POMI, 267 (2000),  163–169


33. In memory of A. M. Vershik (28.12.1933 – 14.02.2024)
    
    Teor. Veroyatnost. i Primenen., 69:2 (2024),  417–422