TY  - BOOK
AU  - Picard,Jean
AU  - Dembo,Amir
AU  - Funaki,Tadahisa
TI  - Lectures on Probability Theory and Statistics: Ecole d'été de Probabilités de Saint-Flour XXXIII - 2003 
T2  - Lecture Notes in Mathematics,
SN  - 3540315373
U1  - 519.2 22
PY  - 2005///
CY  - Berlin Heidelberg
PB  - Springer-Verlag.
KW  - Differential equations, Partial
KW  - Distribution (Probability theory)
KW  - Mathematics
KW  - Potential theory (Mathematics)
KW  - Statistics
KW  - Measure and Integration
KW  - Partial Differential Equations
KW  - Potential Theory
KW  - Probability Theory and Stochastic Processes
KW  - Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences
KW  - fast
N2  - This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo's course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funaki's course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques
UR  - http://dx.doi.org/10.1007/b136622
UR  - http://link.springer.com/openurl?genre=book&isbn=978-3-540-26069-1
UR  - http://rd.springer.com/openurl?genre=book&isbn=978-3-540-26069-1
ER  -