2 citations · 2 across the 4 of their papers we have counts for
4 papers
Deviation inequality for monotonic Boolean functions with application to a number of k-cycles in a random graph
Dmitry Panchenko
Using Talagrand's concentration inequality on the discrete cube {0,1}^m we show that given a real-valued function Z(x)on {0,1}^m that satisfies certain monotonicity conditions one…
Symmetrization approach to concentration inequalities for empirical processes
Dmitry Panchenko
We introduce a symmetrization technique that allows us to translate a problem of controlling the deviation of some functionals on a product space from their mean into a problem of…
Some extensions of an inequality of Vapnik and Chervonenkis
Dmitry Panchenko
The inequality of Vapnik and Chervonenkis controls the expectation of the function by its sample average uniformly over a VC-major class of functions taking into account the size o…
Free energy in the Sherrington-Kirkpatrick model with constrained magnetization
Dmitry Panchenko
This paper has been withdrawn since a trivial proof of the result has been pointed out to the author.