Miscellanea



Publications  of   M.A. Lifshits (selection): 


A hierarchical renormalization model: some properties and open questions (joint with X.Chen, B.Derrida, Y.Hu, Z.Shi).

arXiv version

On the history of the St.Petersburg school of Probability and  Mathematical Statistics. II. Random processes and dependent variables (joint with I.A. Ibragimov, A.I. Nazarov, and D.N. Zaporozhets). Vestnik St. Petersburg University, Mathematics, 2018, 51, 3, 213–236. 

      Journal English version    Journal Russian version  


Toward the history of the St.Petersburg school of Probability and Mathematical Statistics. I. Limit theorems for sums of independent random variables (joint with A.Yu. Zaitsev, A.A. Zinger, and V.V.Petrov). Vestnik St. Petersburg University, Mathematics, 2018, 51, 2, 144-163.

      Journal English version    Journal Russian version  


Cyclic behavior of the maxima of sums of independent variables. J. Math. Sci., 2015, 204, 1, 134-139.

arXiv version      Journal English version    Journal Russian version  

Cyclic behavior of maxima in a hierarchical summation scheme. J. Math. Sci., 2014, 199, 2, 215-224.

arXiv version      Journal English version   Journal Russian version 

An inequality related to negative definite functions (joint with R.Schilling and I.Tyurin). In: High dimensional Probability VI, ser. Progress in Probability, 66, 2013, 73-80.

arXiv version

On the supremum of random Dirichlet polynomials with multiplicative coefficients (joint with M.Weber). Acta. Math. Hung., 2009, 123, 1-2, 41-64.

Abstract    Article in the journal     arXiv version  

Sampling the Lindelöf Hypothesis with the Cauchy random walk (joint with M.Weber). Proc. London Math. Soc., 2009, 98, 241-270.

Abstract   Full arXiv version     Article in the journal

On the supremum of random Dirichlet polynomials (joint with M.Weber). Studia Mathematica , 2007, 182, 41-65.

Abstract   Full arxiv version  

Il'dar Abdullovich Ibragimov (to his 70th birthday) (joint with A.A.Borovkov, Yu.Yu.Nikitin, Yu.V.Prokhorov, A.N.Shiryaev, V.N.Sudakov). Uspekhi Mat. Nauk, 2002, 57,  187-190 (in Russian). Russian Math. Surveys, 2002, 57, 1039-1043 (in English). 

  Anniversary lecture

Poisson measures quasi-invariant with respect to multiplicative transformations (joint with E.Yu.Shmileva), Theor. Probab. Appl., 2001, 46, 652-666 (in English), 697-712 (in Russian).

Abstract    Article in the journal

Average volume of sections of convex bodies (joint with A.L. Koldobsky). In: Geometric Aspects of Functional Analysis. Israel Seminar 1996-2000 (editors V.D.Milman, G.Schechtman), Lecture Notes in Math., v.1745, Springer, 2000, 119--146. 

Abstract      Volume on the web

Spectral regularization inequalities (joint with M. Weber). Math. Scand., 2000, 86, 75-99.

Abstract    Article in the journal