Philippe H. A. Charmoy

activity

20122015

collaborators

3 papers

math.PR2015

Central limit theorems for the spectra of classes of random fractals

Philippe H. A. Charmoy, David A. Croydon, Ben M. Hambly

We discuss the spectral asymptotics of some open subsets of the real line with random fractal boundary and of a random fractal, the continuum random tree. In the case of open subse…

math.PR2014

Heat content asymptotics of some random Koch type snowflakes

Philippe H. A. Charmoy

We consider the short time asymptotics of the heat content $E$ of a domain $D$ of $R^{d}$ . The novelty of this paper is that we consider the situation where $D$ is a domain…

math.PR2012

Minkowski dimension of Brownian motion with drift

Philippe H. A. Charmoy, Yuval Peres, Perla Sousi

We study fractal properties of the image and the graph of Brownian motion in $R^{d}$ with an arbitrary c{à}dl{à}g drift $f$ . We prove that the Minkowski (box) dimension of both the…