Discrete Harmonic Analysis and Noncommutative Probability

noncommutative probability, free harmonic analysis, in particular free probability

ORCID

Free Probability Theory

Almost Sure 

List of Publications:

1. Ejsmont, Wiktor; Hęćka, Patrycja; The Boolean quadratic forms and tangent law. Random Matrices Theory Appl. 13 (2024), no. 1, Paper No. 2450004. arxiv

2. Ejsmont, Wiktor; Milošević, Bojana; Obradović, Marko; A test for normality and independence based on characteristic function. Statist. Papers 64 (2023), no. 6, 1861–1889. arxiv

3. Bożejko, Marek; Ejsmont, Wiktor The double Fock space of type B. SIGMA Symmetry Integrability Geom. Methods Appl. 19 (2023), Paper No. 040, 22 pp. arxiv

4. Ejsmont, Wiktor Fock space associated with quadrabasic Hermite orthogonal polynomials. Studia Math. 270 (2023), no. 1, 17–56. arxiv

5. Bożejko, Marek; Dołęga, Maciej; Ejsmont, Wiktor; Gal, Światosław R. Reflection length with two parameters in the asymptotic representation theory of type B/C and applications. J. Funct. Anal. 284 (2023), no. 5, Paper No. 109797, 47 pp. arxiv

6. Ejsmont, Wiktor; Lehner, Franz; Sums of commutators in free probability. J. Funct. Anal. 280 (2021), no. 2, 108791. arxiv

7. Ejsmont, Wiktor; Lehner, Franz; The trace method for cotangent sums. J. Combin. Theory Ser. A 177 (2021), 105324. JCTA

8. Ejsmont, Wiktor; Lehner, Franz; The free tangent law. Adv. in Appl. Math. 121 (2020), 102093 arxiv

9. Ejsmont, Wiktor; Poisson type operators on the Fock space of type B and in the Blitvić model.  J. Operator Theory 84 (2020), no. 1, 67-97. arxiv

10. Blitvić, Natasha; Ejsmont, Wiktor; Type B Gaussian statistics as noncommutative central limits. J. Math. Anal. Appl. 480 (2019), no. 2, 123294. 62 arxiv

11. Bose, Arup; Dey, Apratim; Ejsmont, Wiktor Characterization of non-commutative free Gaussian variables. ALEA, Lat. Am. J. Probab. Math. Stat. 15 (2018), 1241–1255.  ALEA

12. Ejsmont, Wiktor; Lehner, Franz Sample variance in free probability. J. Funct. Anal. 273 (2017), no. 7, 2488–2520. arxiv

13. Ejsmont, W.; Franz, U.; Szpojankowski, K. Convolution, subordination, and characterization problems in noncommutative probability. Indiana Univ. Math. J. 66 (2017), no. 1, 237–257. arxiv

14. Bożejko, Marek; Ejsmont, Wiktor; Hasebe, Takahiro Noncommutative probability of type D. Internat. J. Math. 28 (2017), no. 2, 1750010, 30 pp. arxiv

15. Ejsmont, Wiktor A characterization of symmetric stable distributions. J. Funct. Spaces 2016, Art. ID 8384767, 3 pp JFS

16. Ejsmont, Wiktor A characterization of the normal distribution by the independence of a pair of random vectors. Statist. Probab. Lett. 114 (2016), 1–5. arxiv

17. Bożejko, Marek; Ejsmont, Wiktor; Hasebe, Takahiro Fock space associated to Coxeter groups of type B. J. Funct. Anal. 269 (2015), no. 6, 1769–1795. arxiv

18. Ejsmont, Wiktor Characterizations of some free random variables by properties of conditional moments of third degree polynomials. J. Theoret. Probab. 27 (2014), no. 3, JTP

19. Ejsmont, Wiktor New characterization of two-state normal distribution. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17 (2014), no. 3, arxiv

20. Bryc, Włodzimierz; Ejsmont, Wiktor Fock space realizations of some classical Markov processes. Probab. Math. Statist. 33 (2013), no. 2, 301–313. PMS

21. Ejsmont, Wiktor Noncommutative characterization of free Meixner processes. Electron. Commun. Probab. 18 (2013), no. 22, 12 pp. ECP

22. Ejsmont, Wiktor Remarks on conditional moments of the free deformed Poisson random variables. Noncommutative harmonic analysis with applications to probability III, 135–145, Banach Center Publ., 96, Polish Acad. Sci. Inst. Math., Warsaw, 2012. BCP

23. Ejsmont, Wiktor Laha-Lukacs properties of some free processes. Electron. Commun. Probab. 17 (2012), no. 13, 8 pp. ECP