The Net Advance of Physics:
RANDOM WALKS AND CURVES
RANDOM WALK PROBLEM and RANDOM CURVES:
General: Introductory:
Chemotaxis: How a Small Organism Finds a Food Source
by Andrea Schmidt [On Mehran Kardar's stat mech homepage at MIT] Random walk for high-school students.
Type: CONTINUOUS-TIME:
The Continuous Time Random Walk: Still Trendy
by Ryszard Kutner and Jaume Masoliver [2016/12] "Fifty-year history, state of art, and outlook."
Type: LÉVY FLIGHTS:
Radiation trapping and Lévy flights in atomic vapours: an introductory review
by Martine Chevrollier [
Contemporary Physics 53,
227 (2013)]
Lévy walks
by V. Zaburdaev et al. [2014/10]
Lévy Processes For Finance: An Introduction In R
by Derek J. Manuge [2015/03]
Type:NON-GAUSSIAN:
Radiation trapping and Lévy flights in atomic vapours: an introductory review
by Martine Chevrollier [
Contemporary Physics 53,
227 (2013)]
Type: ONE-DIMENSIONAL:
Kimball and Frisch 2006/06;
Type: QUANTUM:
Kempe 2003/03;
Quantum Walks
by Daniel Reitzner et al. [
Acta Physica Slovaca 61
, 603 (2011)]
Quantum walks: a comprehensive review
by Salvador E. Venegas-Andraca [2012/01]
Type: QUANTUM: Re: DECOHERENCE:
Kendon 2006/06;
Type: QUANTUM: Re: TOPOLOGY:
Topological phenomena in quantum walks; elementary introduction to the physics of topological phases
by Takuya Kitagawa [2011/12]
Type: IN RANDOM ENVIRONMENTS:
Zeitouni 2003/04;
Type: SELF AVOIDING:
Self-avoiding walks and polygons -- an overview
by Anthony J. Guttmann [2012/12]
Type: TWO-DIMENSIONAL:
Werner 2003/03;
Aspects: RATCHETS:
Brownian motion and gambling: from ratchets to paradoxical games
by J. M. R. Parrondo and Luis Dinis [
Contemporary Physics 45
, 147 (2004)]
Aspects: SCHRAMM-LOEWNER EVOLUTIONS:
Werner 2003/03;
Re: BIOLOGY:
The Boltzmann factor, DNA melting, and Brownian ratchets: Topics in an introductory physics sequence for biology and premedical students
by S. G. J. Mochrie [2011/05]
Re: ELECTRICAL NETWORKS:
Doyle and Snell 1984;
Recent progress on the Random Conductance Model
by Marek Biskup [2011/12]
Re: FRACTIONAL CALCULUS:
The Random Walk's Guide to Anomalous Diffusion: A Fractional Dynamics Approach
by Ralf Metzler and Joseph Klafter [
Physics Reports 339
, 1 (2000)] PDF
Re: KNOT THEORY:
Nechaev 98/12;
Re: SCHRAMM-LOEWNER THEORY:
Gruzberg and Kadanoff 2003/09;
THE NET ADVANCE OF PHYSICS