Entropy, Complexity, Approximation














Publications  of  M.A. Lifshits (selection):

Some extensions of linear approximation and prediction problems for stationary processes  (joint with I.A. Ibragimov and Z. Kabluchko).

arXiv full version 

Least energy approximations for processes with stationary increments (joint with Z. Kabluchko).  J.Theor. Probab., 2017, 30, 1, 268-296.

arXiv full version     Article in the journal

Energy of taut strings accompanying Wiener process (joint with E. Setterqvist) Stoch. Proc. Appl., 2015, 125, 401-427.

arXiv full version      Article in the journal

Approximation of a random process with variable smoothness (joint with E.Hoshorva, O.Seleznev),  In: M.Hallin et al (Eds.). Mathematical Statistics and Limit Theorems. Festschrift in Honour of Paul Deheuvels. Springer, 2015, 189-208.

arXiv full version 

Fractional integration operators of variable order: continuity and compactness properties (joint with W.Linde), Mathematische Nachrichten, 2014, 287, 980-1000. 

arXiv full version    Article in the journal

Tractability of multi-parametric Euler and Wiener integrated processes (joint with A.Papageorgiou and H.Wozniakowski) Probability and Mathematical Statistics, 2012, 32,131-165.

arXiv full version       Talk     Article in the journal

Average case tractability of non-homogeneous tensor product problems  (joint with A.Papageorgiou and H.Wozniakowski), Journal of Complexity, 2012, 28, 5-6, 539-561.

arXiv full version       Talk     Article in the journal

Bounds for entropy numbers for some critical operators. Trans. Amer. Math. Soc., 364 (2012), 1797-1813.

arXiv full version          Article  in the journal 

Compactness properties of weighted summation operators on trees (joint with W.Linde) Studia Mathematica, 2011, 202, 17-47.
arXiv full version    Article  in the journal   Talk 

Compactness properties of weighted summation operators on trees - the critical case
(joint with W.Linde) Studia Mathematica, 2011, 206, 75-96 .

Article  in the journal        arXiv full version            

On Haar expansion of Riemann-Liouville Process in a critical case. J. Math. Sci., 2010, 167, no 4, 531-536 (English). Zapiski Nauchnyh Seminarov POMI, 2009, 368, 171-179 (Russian).

journal English version    journal Russian version   arXiv full version 

Approximation complexity of additive random fields (joint with M.Zani). J. of Complexity, 2008, 24, 362-379.

Abstract       Article  in the journal    Talk 

Curse of dimensionality in approximation of random fields (joint with E.V.Tulyakova). Probab. Math. Stat., 2006, 26, 97-112.

 Abstract    Article in the journal

Approximation and entropy numbers of Volterra operators with application to Brownian Motion (joint with W.Linde). Memoirs of Amer. Math. Soc., 2002, 157, No 745, 1-87.

Abstract

Announcement in the Notices of AMS

Item in the AMS bookstore



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MAL68.PDF
(12k)
Mikhail Lifshits,
Dec 5, 2010, 11:56 PM
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MAL73.PDF
(21k)
Mikhail Lifshits,
Dec 5, 2010, 11:56 PM
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Mal78.pdf
(12k)
Mikhail Lifshits,
Dec 5, 2010, 11:56 PM
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Mikhail Lifshits,
Dec 4, 2011, 12:41 AM
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Mikhail Lifshits,
Dec 4, 2011, 12:41 AM
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hda11.pdf
(294k)
Mikhail Lifshits,
Dec 4, 2011, 12:39 AM