Výsledky vyhledávání - "Nacu, Şerban"

Report

How round are the complementary components of planar Brownian motion?

Autor: Holden, Nina, Nacu, Serban, Peres, Yuval, Salisbury, Thomas S.

Publikováno v: Annales de l'Institut Henri Poincar\'e 55 (2019), pp. 882-908

Consider a Brownian motion $W$ in ${\bf C}$ started from $0$ and run for time 1. Let $A(1),A(2),\dots$ denote the bounded connected components of ${\bf C}-W([0,1])$. Let $R(i)$ (resp. $r(i)$) denote the out-radius (resp. in-radius) of $A(i)$ for $i\i

Externí odkaz: http://arxiv.org/abs/1609.06627

Zobrazit plný text záznamu

Report

Random soups, carpets and fractal dimensions

Autor: Nacu, Serban, Werner, Wendelin

Publikováno v: J. London Math. Soc., 83:3, 789-809 (2011)

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 method, we show that their Hausdorff dimensions are deterministic and

Externí odkaz: http://arxiv.org/abs/1009.4782

Zobrazit plný text záznamu

Report

Channel Uncertainty in Ultra Wideband Communication Systems

Autor: Porrat, Dana, Tse, David N. C., Nacu, Serban

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 constrained wide band systems; Duty cycle transmission reduces the channel

Externí odkaz: http://arxiv.org/abs/cs/0509068

Zobrazit plný text záznamu

Report

Increments of Random Partitions

Autor: Nacu, Serban

For any partition of $\{1, 2, ..., n\}$ we define its {\it increments} $X_i, 1 \le i \le n$ by $X_i = 1$ if $i$ is the smallest element in the partition block that contains it, $X_i = 0$ otherwise. We prove that for partially exchangeable random part

Externí odkaz: http://arxiv.org/abs/math/0310091

Zobrazit plný text záznamu

Report

Fast simulation of new coins from old

Autor: Nacu, Serban, Peres, Yuval

Publikováno v: Annals of Applied Probability 2005, Vol. 15, No. 1A, 93-115

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 simulate a coin with probability of heads f(p). We prove that if S is a cl

Externí odkaz: http://arxiv.org/abs/math/0309222

Zobrazit plný text záznamu

Report

Glauber Dynamics On The Cycle Is Monotone

Autor: Nacu, Serban

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 $\tau_2$ is an increasing function of any of the couplings $J_{xy}$. We also prove

Externí odkaz: http://arxiv.org/abs/math/0305056

Zobrazit plný text záznamu