## Conformally Invariant Processes in the PlaneTheoretical physicists have predicted that the scaling limits of many two-dimensional lattice models in statistical physics are in some sense conformally invariant. This belief has allowed physicists to predict many quantities for these critical systems. The nature of these scaling limits has recently been described precisely by using one well-known tool, Brownian motion, and a new construction, the Schramm-Loewner evolution (SLE). This book is an introduction to the conformally invariant processes that appear as scaling limits. The following topics are covered: stochastic integration; complex Brownian motion and measures derived from Brownian motion; conformal mappings and univalent functions; the Loewner differential equation and Loewner chains; the Schramm-Loewner evolution (SLE), which is a Loewner chain with a Brownian motion input; and applications to intersection exponents for Brownian motion. The prerequisites are first-year graduate courses in real analysis, complex analysis, and probability. The book is suitable for graduate students and research mathematicians interested in random processes and their applications in theoretical physics. |

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Gregory F. Lawler: Conformally Invariant Processes in the Plane

Conformally Invariant Processes in the Plane Gregory F. Lawler Publication Year: 2005 ISBN-10: 0-8218-3677-3 ISBN-13: 978-0-8218-3677-4 ...

www.ams.org/ bookpages/ surv-114/

SLE seminar

See, for instance, Chapter 4 of Conformally invariant processes in the plane, by G. Lawler. Another source is The Loewner differential equation and slit ...

www.stat.berkeley.edu/ ~plr/ sle-seminar/ index-fa05.html

Citebase - The conformally invariant measure on self-avoiding loops

G/A, [16] gf Lawler (2005), Conformally invariant processes in the plane, Math. surveys and monographs, AMS. eprint, [17] gf Lawler, O. Schramm, ...

www.citebase.org/ abstract?identifier=oai%3AarXiv.org%3Amath%2F0511605&

CURRICULUM VITAE Name: Gregory Francis Lawler Born: July 14, 1955 **...**

Conformally Invariant Processes in the Plane, American Mathematical Society (2005). 5. (with V. Limic) Symmetric Random Walk, in preparation. Books Edited: ...

www.math.uchicago.edu/ ~lawler/ vita.pdf

Lawler. Conformally Invariant Processes in the Plane (web draft **...**

Conformally Invariant Processes in the Plane (web draft, 2006)(T)(226s)_MP_.djvu | Library:m_mathematics/mp_mathematical physics/Lawler. ...

lib.org.by/ info/ M_Mathematics/ MP_Mathematical%20physics/ Lawler.%20Conformally%20Invariant%20Processes%20in%20the%20P...

TOPICS • Besicovich covering lemma. em Stein and G. Weiss **...**

Chapter 4 of G. Lawler, Conformally invariant processes in the plane. American Mathematical Society, Providence, RI, 2005. Chapter 6 of lv Ahlfors, ...

www.math.ucla.edu/ ~jbg/ 290g_list.pdf

Phys. Rev. Lett. 95, 251601 (2005): Bettelheim et al. - Stochastic **...**

[4] gf Lawler, Conformally Invariant Processes in the Plane (American Mathematical Society, Providence, 2005); W. Werner, Random Planar Curves and ...

link.aps.org/ doi/ 10.1103/ PhysRevLett.95.251601

The Loewner Equation: Maps and Shapes

gf Lawler, Conformally invariant processes in the plane, a draft of. a book available online at URL http://www.math.cornell.edu/lawler/. book.ps. ...

www.springerlink.com/ index/ X44Q2T275H401558.pdf

ICTP Lecture Notes Series

... to the Dimer Model [ Sources: PS , PDF ]; Richard Kenyon. Conformally Invariant Processes in the Plane [ Sources: PS , PDF ]; Gregory F. Lawler ...

users.ictp.trieste.it/ ~pub_off/ lectures/ vol17.html

Books, Gregory F. Lawler

Conformally Invariant Processes in the Plane , by American Mathematical Society, 2005 (NOW AVAILABLE!) I was an editor for a volume of lectures notes from ...

www.math.cornell.edu/ ~lawler/ books.html