activity
20062011
most citedConcentration inequalities for dependent Random variables via the martingale method

110 citations · 146 across the 10 of their papers we have counts for

collaborators

10 papers

math.DS2011

Virus Dynamics on Starlike Graphs

Thealexa Becker, Alexander Greaves-Tunnell, Leonid Aryeh Kontorovich +3

The field of epidemiology has presented fascinating and relevant questions for mathematicians, primarily concerning the spread of viruses in a community. The importance of this res…

cs.LG2009

Random DFAs are Efficiently PAC Learnable

Leonid Aryeh Kontorovich

This paper has been withdrawn due to an error found by Dana Angluin and Lev Reyzin.

stat.CO2009

Statistical estimation requires unbounded memory

Leonid, Kontorovich

We investigate the existence of bounded-memory consistent estimators of various statistical functionals. This question is resolved in the negative in a rather strong sense. We prop…

math.PR2007

Constructing processes with prescribed mixing coefficients

Leonid, Kontorovich

The rate at which dependencies between future and past observations decay in a random process may be quantified in terms of mixing coefficients. The latter in turn appear in strong…

math.PR2007★ 15 cited

Obtaining Measure Concentration from Markov Contraction

Leonid, Kontorovich

Concentration bounds for non-product, non-Haar measures are fairly recent: the first such result was obtained for contracting Markov chains by Marton in 1996 via the coupling metho…

math.FA2006★ 3 cited

A Linear Programming Inequality with Applications to Concentration of Measure

Leonid Kontorovich

We prove an elementary yet useful inequality bounding the maximal value of certain linear programs. This leads directly to a bound on the martingale difference for arbitrarily depe…