Непересекающиеся пути и ансамбль ортогональных многочленов Хана
В. Е. Горин

Эта публикация цитируется в следующих статьяx:

1. Christophe Charlier, Tom Claeys, “Counting domino and lozenge tilings of reduced domains with Padé‐type approximants”, Journal of London Math Soc, 113:3 (2026)  
2. Amol Aggarwal, Jiaoyang Huang, “Edge Statistics for Lozenge Tilings of Polygons, II: Airy Line Ensemble”, Forum of Mathematics, Pi, 13 (2025)  
3. Pierre Lazag, “A Law of Large Numbers for Local Patterns in Schur Measures and a Schur Process”, J Theor Probab, 38:3 (2025)  
4. Jiaoyang Huang, “Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains”, Probab. Theory Relat. Fields, 188:1-2 (2024), 337  
5. Anton Nazarov, Olga Postnova, Travis Scrimshaw, “Skew Howe duality and limit shapes of Young diagrams”, Journal of London Math Soc, 109:1 (2024)  
6. Svetlana Gavrilova, Leonid Petrov, “Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests”, Sel. Math. New Ser., 30:3 (2024)  
7. Maurice Duits, Erik Duse, Wenkui Liu, “Lozenge tilings of a hexagon and q-Racah ensembles”, J. Phys. A: Math. Theor., 57:40 (2024), 405202  
8. Mark Adler, Pierre van Moerbeke, “Double interlacing in random tiling models”, Journal of Mathematical Physics, 64:3 (2023)  
9. Peter J. Forrester, Shi-Hao Li, Bo-Jian Shen, Guo-Fu Yu, “q-Pearson pair and moments in q-deformed ensembles”, Ramanujan J, 60:1 (2023), 195  
10. Leonid Petrov, Mikhail Tikhonov, “Asymptotics of noncolliding q-exchangeable random walks”, J. Phys. A: Math. Theor., 56:36 (2023), 365203  
11. Evgeni Dimitrov, Alisa Knizel, “Asymptotics of discrete β-corners processes via two-level discrete loop equations”, Prob. Math. Phys., 3:2 (2022), 247  
12. Charlier Ch., “Doubly Periodic Lozenge Tilings of a Hexagon and Matrix Valued Orthogonal Polynomials”, Stud. Appl. Math., 146:1 (2021), 3–80      
13. Christophe Charlier, “Matrix orthogonality in the plane versus scalar orthogonality in a Riemann surface”, Transactions of Mathematics and Its Applications, 5:2 (2021)  
14. Charlier C., Duits M., Kuijlaars A.B.J., Lenells J., “A Periodic Hexagon Tiling Model and Non-Hermitian Orthogonal Polynomials”, Commun. Math. Phys., 378:1 (2020), 401–466      
15. Aggarwal A., “Limit Shapes and Local Statistics For the Stochastic Six-Vertex Model”, Commun. Math. Phys., 376:1 (2020), 681–746      
16. Guionnet A., Huang J., “Rigidity and Edge Universality of Discrete Beta-Ensembles”, Commun. Pure Appl. Math., 72:9 (2019), 1875–1982      
17. Berggren T., Duits M., “Correlation Functions For Determinantal Processes Defined By Infinite Block Toeplitz Minors”, Adv. Math., 356 (2019), 106766        
18. Adler M., Johansson K., van Moerbeke P., “Lozenge Tilings of Hexagons With Cuts and Asymptotic Fluctuations: a New Universality Class”, Math. Phys. Anal. Geom., 21:1 (2018), 9      
19. Dan Betea, “Elliptically Distributed Lozenge Tilings of a Hexagon”, SIGMA, 14 (2018), 032, 39 pp.    
20. Adler M., Johansson K., van Moerbeke P., “Tilings of Non-Convex Polygons, Skew-Young Tableaux and Determinantal Processes”, Commun. Math. Phys., 364:1 (2018), 287–342          
21. Maurice Duits, “On global fluctuations for non-colliding processes”, Ann. Probab., 46:3 (2018)  
22. Corwin I., Nica M., “Intermediate disorder directed polymers and the multi-layer extension of the stochastic heat equation”, Electron. J. Probab., 22 (2017), 13          
23. Gorin V., “Bulk Universality For Random Lozenge Tilings Near Straight Boundaries and For Tensor Products”, Commun. Math. Phys., 354:1 (2017), 317–344        
24. Borodin A., Olshanski G., “The Asep and Determinantal Point Processes”, Commun. Math. Phys., 353:2 (2017), 853–903        
25. Borodin A., Gorin V., Guionnet A., “Gaussian Asymptotics of Discrete Beta-Ensembles”, Publ. Math. IHES, 2017, no. 125, 1–78        
26. Knizel A., “Moduli Spaces of q -Connections and Gap Probabilities”, Int. Math. Res. Notices, 2016, no. 22, 6921–6954      
27. Petrov L., “Asymptotics of Uniformly Random Lozenge Tilings of Polygons. Gaussian Free Field”, Ann. Probab., 43:1 (2015), 1–43        
28. Bufetov A., Gorin V., “Representations of Classical Lie Groups and Quantized Free Convolution”, Geom. Funct. Anal., 25:3 (2015), 763–814            
29. Petrov L., “Asymptotics of Random Lozenge Tilings Via Gelfand-Tsetlin Schemes”, Probab. Theory Relat. Field, 160:3-4 (2014), 429–487        
30. Mkrtchyan S., “Plane Partitions With Two-Periodic Weights”, Lett. Math. Phys., 104:9 (2014), 1053–1078          
31. Borodin A., Gorin V., “Markov Processes of Infinitely Many Nonintersecting Random Walks”, Probab. Theory Relat. Field, 155:3-4 (2013), 935–997        
32. Boutillier C., Mkrtchyan S., Reshetikhin N., Tingley P., “Random skew plane partitions with a piecewise periodic back wall”, Ann. Henri Poincaré, 13:2 (2012), 271–296          
33. Fleming B.J., Forrester P.J., Nordenstam E., “A finitization of the bead process”, Probab. Theory Relat. Fields, 152:1-2 (2012), 321–356        
34. Forrester P.J., Nagao T., “Determinantal correlations for classical projection processes”, J. Stat. Mech., 2011, P08011, 28 pp.    
35. Jafarov E.I., Stoilova N.I., Van der Jeugt J., “The $\mathfrak{su}(2)_\alpha$ Hahn oscillator and a discrete Fourier-Hahn transform”, J. Phys. A, 44:35 (2011), 355205, 18 pp.          
36. Borodin A., Gorin V., Rains E.M., “$q$-Distributions on boxed plane partitions”, Selecta Math (N.S.), 16:4 (2010), 731–789        
37. Grünbaum F.A., “An urn model associated with Jacobi polynomials”, Commun. Appl. Math. Comput. Sci., 5:1 (2010), 55–63        
38. Borodin A., Gorin V., “Shuffling algorithm for boxed plane partitions”, Adv. Math., 220:6 (2009), 1739–1770          
39. Г. И. Ольшанский, “Разностные операторы и детерминантные точечные процессы”, Функц. анализ и его прил., 42:4 (2008), 83–97          ; G. I. Olshanskii, “Difference Operators and Determinantal Point Processes”, Funct. Anal. Appl., 42:4 (2008), 317–329      
40. В. Е. Горин, “Несталкивающиеся диффузии Якоби как предел марковских цепей на графе Гельфанда–Цетлина”, Теория представлений, динамические системы, комбинаторные методы. XVI, Зап. научн. сем. ПОМИ, 360, ПОМИ, СПб., 2008, 91–123      ; V. E. Gorin, “Non-colliding Jacobi processes as limits of Markov chains on the Gelfand–Tsetlin graph”, J. Math. Sci. (N. Y.), 158:6 (2009), 819–837