Department of Mathematics

Details

Exact formulas in random growth and directed polymers

by Jeremy Quastel | University of Toronto
Time: 13:00  (Wednesday, Mar. 30, 2011)
Location: BA6183, Bahen Center, 40 St. George St.
Abstract:
The Kardar-Parisi-Zhang equation has been widely used in physics as a model of random growth and directed polymers. We will discuss the sense that can be made of the equation, and the non-Gaussian fluctuations that describe its universality class.

Dates in this series

· Thursday, Jan. 21, 2010: The Calderon Problem - From the Past to the Present (Leo Tzou)

· Wednesday, Feb. 03, 2010: Indecomposable characters on the group S(2^∞) (Artem Dudko)

· Wednesday, Feb. 10, 2010: Self-referencing Recursions and Labeled Binary Trees (Abraham Isgur)

· Wednesday, Feb. 17, 2010: Introduction to the Well-posedness Theory of (Dispersive) PDEs (Hiro Oh)

· Wednesday, Mar. 03, 2010: Renormalization and universality in one-dimensional dynamics: critical circle maps (Michael Yampolsky)

· Wednesday, Mar. 10, 2010: The Dimer Model on a Planar Domain: From random domino tilings to limit shapes (Alex Bloemendal)

· Wednesday, Mar. 17, 2010: The Planar Dimer Model, continued (Alex Bloemendal)

· Thursday, Sep. 16, 2010: The calculus of Euler characteristic and some of its application (Dmitry Kerner)

· Thursday, Oct. 07, 2010: Equivalences of the Axiom of Choice (Mike Pawliuk)

· Thursday, Oct. 21, 2010: Covering arrays with row limit four (Nevena Francetic)

· Thursday, Oct. 28, 2010: Which groups are Lie groups? (Yevgeniy Likuomovich)

· Thursday, Nov. 04, 2010: All started with Weyl (Victor Ivrii)

· Thursday, Nov. 11, 2010: Sparse structures in Euclidean space (Dominic Dotterrer)

· Thursday, Nov. 18, 2010: A short introduction to curve singularities (Dmitry Kerner)

· Thursday, Nov. 25, 2010: Newton diagrams and applications (Dmitry Kerner)

· Thursday, Dec. 02, 2010: Convergence and smoothing properties of Steiner symmetrizations and other simple rearrangements (Almut Burchard)

· Tuesday, Jan. 11, 2011: TeXFreak (Victor Ivrii)

· Wednesday, Jan. 26, 2011: Two-sided chain condition in Leavitt path algebras (Pinar Colak)

· Tuesday, Feb. 01, 2011: SPECIAL GRADUATE SEMINAR -- How to classify algebraic varieties (Chenyang Xu)

· Wednesday, Feb. 02, 2011: Enrico Bombieri and the Prime Number Theorem (John Friedlander)

· Wednesday, Feb. 16, 2011: Basic Financial Derivatives and the Black-Scholes PDE (Ryan Donnelly)

· Wednesday, Mar. 09, 2011: Classical mechanics and symplectic geometry (Jonathan Fisher)

· Thursday, Mar. 17, 2011: On Computability of Julia sets (Artem Dudko)

· Wednesday, Mar. 23, 2011: Variational optimization in economics (Robert McCann)

· Wednesday, Mar. 30, 2011: Exact formulas in random growth and directed polymers (Jeremy Quastel)

· Wednesday, Apr. 06, 2011: Kitaev's quantum double model for topological quantum computation -- representations, higher categories and extended TQFTs (Lucy Zhang)

· Wednesday, Apr. 13, 2011: Tropicalization and Connection to Secondary Fans (Jihyeon Jessie Yang)

· Thursday, Sep. 29, 2011: Probabilistic Cauchy Theory and Invariant Measures for Hamiltonian PDEs (Geordie Richards)

· Thursday, Oct. 13, 2011: The cohomology ring of the GKM graph of a flag manifold (Yukiko Fukukawa)

· Friday, Nov. 04, 2011: Representations of the full group of a Bratteli diagram (Artem Dudko)

· Thursday, Nov. 10, 2011: How to Solve a Cubic Equation? (Askold Khovanskii)

· Thursday, Nov. 24, 2011: Rate of escape of random walks on groups (Balint Virag)

· Thursday, Dec. 01, 2011: Some aspects of geometric measure theory (Robert Jerrard)

· Thursday, Jan. 19, 2012: Bounded generation, congruence subgroups and the splitting of primes (Kumar Murty)

· Thursday, Jan. 26, 2012: How to solve a quintic polynomial? (Yuri Burda)

· Thursday, Feb. 02, 2012: Dynamics on the circle (Elio Mazzeo)

· Thursday, Feb. 09, 2012: How to keep a can from sliding down an incline (and make it roll instead) (David Li-Bland)

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· Thursday, Mar. 22, 2012: Two Inverse Problems in Medical Imaging (Nicholas Hoell)

· Thursday, Mar. 29, 2012: Enveloping algebras of nonassociative structures (Marina Tvalavadze)

· Thursday, Nov. 08, 2012: Airy's rainbow and Stokes' mist: asymptotics through the prism of geometry (Brent Pym)

· Thursday, Dec. 13, 2012: C*-algebras and the Classification Program (Danny Hay)

· Thursday, Jan. 17, 2013: Why is the Riemann Hypothesis a big deal? (Asif Zaman)