NMR survey of reflected Brownian motion

DS Grebenkov - Reviews of Modern Physics, 2007 - APS
Restricted diffusion is a common feature of many physicochemical, biological, and industrial
processes. Nuclear magnetic resonance techniques are often used to survey the atomic or …

[图书][B] Fractal geometry: mathematical foundations and applications

K Falconer - 2014 - books.google.com
The seminal text on fractal geometry for students and researchers: extensively revised and
updated with new material, notes and references that reflect recent directions. Interest in …

[图书][B] Analysis on fractals

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

[图书][B] Mathematical theory of Feynman path integrals

S Albeverio, R Höegh-Krohn, S Mazzucchi - 1976 - Springer
Feynman path integrals have been introduced by Feynman in his formulation of quantum
mechanics [1]. 1 Since their inception they have occupied a somewhat ambiguous position …

[图书][B] Continued fractions

D Hensley - 2006 - books.google.com
" This book is the first authoritative and up-to-date survey of the history of Iraq from earliest
times to the present in any language. It presents a concise narrative of the rich and varied …

Laplace operators on fractals and related functional equations

G Derfel, PJ Grabner, F Vogl - Journal of Physics A: Mathematical …, 2012 - iopscience.iop.org
We give an overview over the application of functional equations, namely the classical
Poincaré and renewal equations, to the study of the spectrum of Laplace operators on self …

Fractal zeta functions and fractal drums

ML Lapidus, G Radunović, D Žubrinić - Springer Monographs in …, 2017 - Springer
The present research monograph is a testimony to the fact that Fractal Analysis is deeply
connected to numerous areas of contemporary Mathematics. Here, we have in mind, in …

Oscillatory finite-time singularities in finance, population and rupture

K Ide, D Sornette - Physica A: Statistical Mechanics and its Applications, 2002 - Elsevier
We present a simple two-dimensional dynamical system where two nonlinear terms,
exerting respectively positive feedback and reversal, compete to create a singularity in finite …

A walk in the noncommutative garden

A Connes, M Marcolli - An invitation to noncommutative geometry, 2008 - books.google.com
If you cleave the hearth of one drop of water a hundred pure oceans emerge from
it.(Mahmud Shabistari, Gulshan-i-raz) We have decided to contribute to the volume of the …

Dirac operators and spectral triples for some fractal sets built on curves

E Christensen, C Ivan, ML Lapidus - Advances in Mathematics, 2008 - Elsevier
We construct spectral triples and, in particular, Dirac operators, for the algebra of continuous
functions on certain compact metric spaces. The triples are countable sums of triples where …