[PDF][PDF] The continuum random tree. II. An overview

D Aldous - Stochastic analysis (Durham, 1990), 1991‏ - Citeseer
To give the really big picture in a paragraph, consider a tree on n vertices. View the vertices
as points in abstract (rather than d-dimensional) space, but let the edges have length (= 1 …

Diffusions on fractals

MT Barlow - Lectures on Probability Theory and Statistics: Ecole d' …, 2006‏ - Springer
The notes are based on lectures given in St. Flour in 1995, and cover, in greater detail, most
of the course given there. The word" fractal" was coined by Mandelbrot [Man] in the 1970s …

[ספר][B] FRACTAL CALCULUS AND ITS APPLICATIONS: Fα-Calculus

AK Golmankhaneh - 2023‏ - World Scientific
Many phenomena in physics and engineering have fractal structures; then analysis on them
has a vital role in the application. In this chapter, we present some frameworks of analysis on …

[ספר][B] Statistics for long-memory processes

J Beran - 2017‏ - taylorfrancis.com
Statistical Methods for Long Term Memory Processes covers the diverse statistical methods
and applications for data with long-range dependence. Presenting material that previously …

[ספר][B] Techniques in fractal geometry

KJ Falconer, KJ Falconer - 1997‏ - lib.ysu.am
Typeset in 10/12pt Times by Thomson Press (India) Ltd., New Delhi Printed and bound in
Great Britain by Biddles Ltd., Guildford and King's Lynn This book is printed on acid-free …

[ספר][B] Analysis on fractals

J Kigami - 2001‏ - books.google.com
This book covers analysis on fractals, a develo** area of mathematics which focuses on
the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a …

[ספר][B] Random walks on infinite graphs and groups

W Woess - 2000‏ - books.google.com
The main theme of this book is the interplay between the behaviour of a class of stochastic
processes (random walks) and discrete structure theory. The author considers Markov …

Geometrical structure of Laplacian eigenfunctions

DS Grebenkov, BT Nguyen - siam REVIEW, 2013‏ - SIAM
We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …

[ספר][B] Selfsimilar processes

P Embrechts - 2009‏ - degruyter.com
The modeling of stochastic dependence is fundamental for understanding random systems
evolving in time. When measured through linear correlation, many of these systems exhibit a …

Emulsions in porous media: From single droplet behavior to applications for oil recovery

A Perazzo, G Tomaiuolo, V Preziosi, S Guido - Advances in colloid and …, 2018‏ - Elsevier
Emulsions are suspensions of droplets ubiquitous in oil recovery from underground
reservoirs. Oil is typically trapped in geological porous media where emulsions are either …