A local limit theorem for random strict partitions
A. M. Vershik, G. A. Freiman, Yu. V. Yakubovich

This publication is cited in the following articles:

1. Zhiyong Wang, Chenglang Yang, “Correlation function of self-conjugate partitions: q-difference equation and quasimodularity”, Math. Ann., 395:2 (2026)  
2. Jean C. Peyen, Leonid V. Bogachev, Paul P. Martin, “Boltzmann distribution on “short” integer partitions with power parts: Limit laws and sampling”, Advances in Applied Mathematics, 159 (2024), 102739  
3. Guozheng Dai, Zhonggen Su, “On the Fluctuations for Multiplicative Ensembles of Random Integer Partitions with Equiweighted Parts”, Front. Math, 18:1 (2023), 197  
4. Bogachev L.V., Yakubovich Yu.V., “Limit Shape of Minimal Difference Partitions and Fractional Statistics”, Commun. Math. Phys., 373:3 (2020), 1085–1131    
5. Corwin I., Parekh Sh., “Limit Shape of Subpartition-Maximizing Partitions”, J. Stat. Phys., 180:1-6, SI (2020), 597–611    
6. DeSalvo S., Pak I., “Limit Shapes Via Bijections”, Comb. Probab. Comput., 28:2 (2019), 187–240        
7. V. P. Maslov, “The Relationship between the Fermi–Dirac Distribution and Statistical Distributions in Languages”, Math. Notes, 101:4 (2017), 645–659            
8. V. P. Maslov, S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics”, Math. Notes, 100:6 (2016), 828–834            
9. Maslov V.P., “Large negative numbers in number theory, thermodynamics, information theory, and human thermodynamics”, Russ. J. Math. Phys., 23:4 (2016), 510–528          
10. Maslov V.P., “Negative energy, debts, and disinformation from the viewpoint of analytic number theory”, Russ. J. Math. Phys., 23:3 (2016), 355–368            
11. V. P. Maslov, V. E. Nazaikinskii, “Bose–Einstein Distribution as a Problem of Analytic Number Theory: The Case of Less than Two Degrees of Freedom”, Math. Notes, 100:2 (2016), 245–255          
12. V. P. Maslov, V. E. Nazaikinskii, “Conjugate Variables in Analytic Number Theory. Phase Space and Lagrangian Manifolds”, Math. Notes, 100:3 (2016), 421–428          
13. V. P. Maslov, V. E. Nazaikinskii, “Disinformation Theory for Bosonic Computational Media”, Math. Notes, 99:6 (2016), 895–900          
14. Tadahisa Funaki, SpringerBriefs in Probability and Mathematical Statistics, Lectures on Random Interfaces, 2016, 81  
15. Tadahisa Funaki, SpringerBriefs in Probability and Mathematical Statistics, Lectures on Random Interfaces, 2016, 93  
16. Tadahisa Funaki, SpringerBriefs in Probability and Mathematical Statistics, Lectures on Random Interfaces, 2016, 1  
17. Tadahisa Funaki, SpringerBriefs in Probability and Mathematical Statistics, Lectures on Random Interfaces, 2016, 111  
18. Tadahisa Funaki, SpringerBriefs in Probability and Mathematical Statistics, Lectures on Random Interfaces, 2016, 29  
19. V. M. Buchstaber, M. I. Gordin, I. A. Ibragimov, V. A. Kaimanovich, A. A. Kirillov, A. A. Lodkin, S. P. Novikov, A. Yu. Okounkov, G. I. Olshanski, F. V. Petrov, Ya. G. Sinai, L. D. Faddeev, S. V. Fomin, N. V. Tsilevich, Yu. V. Yakubovich, “Anatolii Moiseevich Vershik (on his 80th birthday)”, Russian Math. Surveys, 69:1 (2014), 165–179                
20. Funaki T., Sasada M., Sauer M., Xie B., “Fluctuations in an Evolutional Model of Two-Dimensional Young Diagrams”, Stoch. Process. Their Appl., 123:4 (2013), 1229–1275            
21. Dan Beltoft, Cédric Boutillier, Nathanaël Enriquez, “Random Young Diagrams in a Rectangular Box”, Mosc. Math. J., 12:4 (2012), 719–745      
22. Bogachev L.V., Zarbaliev S.M., “Universality of the Limit Shape of Convex Lattice Polygonal Lines”, Ann Probab, 39:6 (2011), 2271–2317            
23. Maslov V.P., “New global distributions in number theory and their applications”, J Fixed Point Theory Appl, 8:1 (2010), 81–111          
24. Erlihson M.M., Granovsky B.L., “Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case”, Annales de l Institut Henri Poincare–Probabilites et Statistiques, 44:5 (2008), 915–945            
25. Alain Comtet, Satya N. Majumdar, Sanjib Sabhapandit, “A note on limit shapes of minimal difference partitions”, Zhurn. matem. fiz., anal., geom., 4:1 (2008), 24–32      
26. Comtet A., Majumdar S.N., Ouvry S., Sabhapandit S., “Integer partitions and exclusion statistics: limit shapes and the largest parts of young diagrams”, Journal of Statistical Mechanics–Theory and Experiment, 2007, P10001          
27. Vershik A., Yakubovich Y., “Fluctuations of the maximal particle energy of the quantum ideal gas and random partitions”, Communications in Mathematical Physics, 261:3 (2006), 759–769            
28. Freiman G.A., Granovsky B.L., “Clustering in coagulation–fragmentation processes, random combinatorial structures and additive number systems: Asymptotic formulae and limiting laws”, Transactions of the American Mathematical Society, 357:6 (2005), 2483–2507          
29. Mutafchiev L.R., “The typical growth of the kth excess in a random integer partition”, Monatshefte fur Mathematik, 136:4 (2002), 313–325          
30. A. M. Vershik, Yu. V. Yakubovich, “The limit shape and fluctuations of random partitions of naturals with fixed number of summands”, Mosc. Math. J., 1:3 (2001), 457–468          
31. Yu. V. Yakubovich, “Central limit theorem for random strict partition”, J. Math. Sci. (New York), 107:5 (2001), 4296–4304