727 citations
- University of California, BerkeleyUS9 papers
- Brookhaven National LaboratoryUS7 papers
- California Institute of TechnologyUS6 papers
- Indiana University BloomingtonUS6 papers
- Institute for High Energy PhysicsES6 papers
- Lawrence Berkeley National LaboratoryUS6 papers
- Louisiana State UniversityUS6 papers
- Michigan State UniversityUS6 papers
- Universidade de São PauloBR6 papers
- University of BirminghamGB6 papers
- University of Illinois ChicagoUS6 papers
- University of WashingtonUS6 papers
5 papers · 1 filter
A Strong Law of Large Numbers for Strongly Mixing Processes
Aryeh Kontorovich, Anthony Brockwell
We prove a strong law of large numbers for a class of strongly mixing processes. Our result rests on recent advances in understanding of concentration of measure. It is simple to a…
The heavy traffic limit of an unbalanced generalized processor sharing model
Kavita Ramanan, Martin I. Reiman
This work considers a server that processes classes using the generalized processor sharing discipline with base weight vector and redistribution weight vecto…
The Skorokhod problem in a time-dependent interval
Krzysztof Burdzy, Weining Kang, Kavita Ramanan
We consider the Skorokhod problem in a time-varying interval. We prove existence and uniqueness for the solution. We also express the solution in terms of an explicit formula. Movi…
Noise stability of functions with low influences: invariance and optimality
Elchanan Mossel, Ryan O'Donnell, Krzysztof Oleszkiewicz
In this paper we study functions with low influences on product probability spaces. The analysis of boolean functions with low influences has become a central problem in discrete F…
Renormalization, large deviations and phase separation in Ising and percolation models
Ágoston Pisztora
Phase separation is a fairly common physical phenomenon with examples including the formation of water droplets from humid air (fog, rain), the separation of a crystalline structur…