55 citations · 109 across the 5 of their papers we have counts for
6 papers
How round are the complementary components of planar Brownian motion?
Nina Holden, Serban Nacu, Yuval Peres +1
Consider a Brownian motion in started from and run for time 1. Let denote the bounded connected components of . Let (re…
Random soups, carpets and fractal dimensions
Serban Nacu, Wendelin Werner
We study some properties of a class of random connected planar fractal sets induced by a Poissonian scale-invariant and translation-invariant point process. Using the second-moment…
Channel Uncertainty in Ultra Wideband Communication Systems
Dana Porrat, David N. C. Tse, Serban Nacu
Wide band systems operating over multipath channels may spread their power over bandwidth if they use duty cycle. Channel uncertainty limits the achievable data rates of power cons…
Increments of Random Partitions
Serban Nacu
For any partition of we define its {\it increments} by if is the smallest element in the partition block that contains it, $X_…
Fast simulation of new coins from old
Serban Nacu, Yuval Peres
Let S\subset (0,1). Given a known function f:S\to (0,1), we consider the problem of using independent tosses of a coin with probability of heads p (where p\in S is unknown) to simu…
Glauber Dynamics On The Cycle Is Monotone
Serban Nacu
We study heat-bath Glauber dynamics for the ferromagnetic Ising model on a finite cycle (a graph where every vertex has degree two). We prove that the relaxation time is an i…