TY - BOOK
AU - Picard,Jean
ED - SpringerLink (Online service)
TI - Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
T2 - École d'Été de Probabilités de Saint-Flour,
SN - 9783540315377
AV - QA273.A1-274.9
U1 - 519.2 23
PY - 2005///
CY - Berlin, Heidelberg
PB - Springer Berlin Heidelberg, Imprint: Springer
KW - Distribution (Probability theory
KW - Mathematics
KW - Potential theory (Mathematics)
KW - Statistics
KW - Differential equations, partial
KW - Probability Theory and Stochastic Processes
KW - Measure and Integration
KW - Potential Theory
KW - Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
KW - Partial Differential Equations
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 - https://doi.org/10.1007/b136622
ER -