Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Loop-erased random walk
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==References== *{{citation | last1=Kenyon | first1=Richard | authorlink1=Richard Kenyon | title=The asymptotic determinant of the discrete Laplacian | journal=Acta Mathematica | volume=185 | issue=2 | date=2000a | pages=239β286 | arxiv=math-ph/0011042 | doi=10.1007/BF02392811 | doi-access=free}} *{{citation | last1=Kenyon | first1=Richard | authorlink1=Richard Kenyon | title=Conformal invariance of domino tiling | journal=[[Annals of Probability]] | volume=28 | issue=2 | date=April 2000 | pages=759β795 | arxiv=math-ph/9910002 | doi=10.1214/aop/1019160260 | doi-access=free}} *{{citation | last1=Kenyon | first1=Richard | authorlink1=Richard Kenyon | title=Long-range properties of spanning trees | journal=Journal of Mathematical Physics | volume=41 | issue=3 | date=March 2000 | pages=1338β1363 | url=http://www.math.ubc.ca/~kenyon/papers/long.ps.Z | doi=10.1063/1.533190| bibcode=2000JMP....41.1338K | archive-url=https://web.archive.org/web/20041113192623/http://www.math.ubc.ca/~kenyon/papers/long.ps.Z | archive-date=2004-11-13 | doi-access=free }} *{{citation | last1=Kozma | first1=Gady | title=The scaling limit of loop-erased random walk in three dimensions | journal=Acta Mathematica | volume=199 | issue=1 | date=2007 | pages=29β152 | arxiv=math.PR/0508344 | doi=10.1007/s11511-007-0018-8 | doi-access=free}} * {{citation | last1=Lawler | first1=Gregory F. | authorlink1=Greg Lawler | title=A self-avoiding random walk | journal=Duke Mathematical Journal | date=September 1980 | volume=47 | issue=3 | pages=655β693 | doi=10.1215/S0012-7094-80-04741-9}} * {{citation | last1=Lawler | first1=Gregory F. | authorlink1=Greg Lawler | contribution=The logarithmic correction for loop-erased random walk in four dimensions | title=Proceedings of the Conference in Honor of Jean-Pierre kahane ([[Orsay]], 1993). Special issue of the Journal of Fourier Analysis and Applications | pages=347β362 | isbn=9780429332838}} * {{citation | last1=Lawler | first1=Gregory F. | authorlink1=Greg Lawler | contribution=Loop-erased random walk | title=Perplexing problems in probability: Festschrift in honor of Harry Kesten | editor1-last=Bramson | editor1-first=Maury | editor2-last=Durrett | editor2-first=Richard T. | series=Progress in Probability | volume=44 | publisher=BirkhΓ€user, Boston, MA | date=1999 | pages=197β217 | doi=10.1007/978-1-4612-2168-5| isbn=978-1-4612-7442-1 }} * {{citation | last1=Lawler | first1=Gregory F. | authorlink1=Greg Lawler | last2=Schramm | first2=Oded | authorlink2=Oded Schramm | last3=Werner | first3=Wendelin | authorlink3=Wendelin Werner | title=Conformal invariance of planar loop-erased random walks and uniform spanning trees | journal=Annals of Probability | volume=32 | issue=1B | date=2004 | pages=939β995 | arxiv=math.PR/0112234 | doi=10.1214/aop/1079021469 | doi-access=free}} * {{citation | last1=Pemantle | first1=Robin | title=Choosing a spanning tree for the integer lattice uniformly | journal=Annals of Probability | volume=19 | issue=4 | date=1991 | pages=1559β1574 | doi=10.1214/aop/1176990223 | doi-access=free| arxiv=math/0404043 }} * {{citation | last1=Schramm | first1=Oded | authorlink1=Oded Schramm | title=Scaling limits of loop-erased random walks and uniform spanning trees | journal=[[Israel Journal of Mathematics]] | volume=118 | date=2000 | pages=221β288 | arxiv=math.PR/9904022 | doi=10.1007/BF02803524 | doi-access=free}} * {{citation | last1=Wilson | first1=David Bruce | contribution=Generating random spanning trees more quickly than the cover time | title=STOC '96: Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing (Philadelphia, PA, 1996) | pages=296β303 | publisher=Association for Computing Machinery, New York | date=1996 | doi=10.1145/237814.237880| s2cid=207198080 }} * {{citation | last1=Wilson | first1=David Bruce | date=2010 | title=The dimension of loop-erased random walk in three dimensions | journal=[[Physical Review E]] | volume=82 | issue=6 | pages=062102 | doi=10.1103/PhysRevE.82.062102 | pmid=21230692 | arxiv=1008.1147| bibcode=2010PhRvE..82f2102W }} {{Stochastic processes}} [[Category:Random graphs]] [[Category:Variants of random walks]]
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)