Publications   of   M.A. Lifshits (selection):

Small deviation probability via chaining (joint with F.Aurzada). To appear in: Stoch. Proc. Appl., 2007+.
Abstract   See also www.arXiv.org/abs/0706.2720

Small deviations of Riemann-Liouville processes in L_q-norms with respect to fractal measures (joint with W. Linde and Z.Shi). J. London Math. Soc., 2006, 92, 224-250.
Abstract    

Small deviations of Gaussian random fields in L_q-spaces (joint with W. Linde and Z.Shi). Electronic J. Probab., 2006, 11, 1204-1223.
Abstract   See also www.arXiv.org/abs/math/0605417  

Probabilities of randomly centered small balls and quantization in Banach spaces (joint with S.Dereich). Ann. Probab., 2005, 33, 1397-1421.
Abstract     See also www.arXiv.org/abs/math/0402220

Small deviations of weighted fractional processes and average non-linear approximation (joint with W.Linde). Trans. Amer. Math. Soc., 2005, 357, 2059-2079.
Abstract

Small deviations for fractional stable processes (joint with Th.Simon). Ann. Inst. H.Poincaré, 2005, 41, 725-752.
Abstract     See also www.arXiv.org/abs/math/0305092  

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

Probabilities of hitting of shifted small balls by centered Poisson processes (joint with P.Deheuvels), Zapiski Seminarov POMI, 2001, 278, 63-85. (in Russian) J. Math. Sci., 2003, 118 (6), 5541-5554 (in English).
Abstract

Metric entropy of integration operator and small ball probabilities of Brownian sheet (joint with T. Dunker, T. Kuhn, and W. Linde). Comptes Rendus Acad. Sci. Paris, Ser I, 1998, 326, 347-352; Journal of Approximation Theory, 1999, 101, 63-77.
Abstract

Asymptotic behavior of small ball probabilities. Probab. Theory and Math. Statist. Proc. VII International Vilnius Conference (1998). VSP/TEV, 1999, 453-468.
Abstract

Small deviations of sums of independent variables (joint with T. Dunker, W. Linde). Proc. Conf. High Dimensional Probability; Ser. Progress in Probability, v.43, Birkhäuser, 1998, 59-74.
Abstract

On the lower tail probabilities of some random series, Ann. Probab., 1997, 25, 424-442.
Abstract

Small deviations of Gaussian field (joint with B.S. Tsirelson). Th. Probab. Appl., 1986, 31, 557-558.
Abstract