21st Western States
Mathematical Physics Meeting

February 18 – 19, 2002
151 Sloan

PROGRAM

MONDAY, FEBRUARY 18

• 9:00 – 9:05
  Welcome

• 9:05 – 9:30
  Marek Biskup (UCLA)
  Mean-field driven first-order phase transitions

• 9:35 – 10:00
  Anne Schilling (UC Davis)
  Fermionic formulas

• 10:00 – 10:30
  Coffee

• 10:30 – 10:55
  Bruno Nachtergaele (UC Davis)
  Derivation of the Euler equations from quantum dynamics

• 11:00 – 11:50
  Alexander Its (Indiana University-Purdue University Indianapolis)
  A Riemann-Hilbert approach to orthogonal polynomials

• 12:00 – 1:00
  Lunch

• 1:00 – 1:50
  Wilhelm Schlag (Caltech)
  On decay of solutions of Schrödinger equations with time independent and time dependent potentials

• 2:00 – 2:50
  Rowan Killip (University of Pennsylvania)
  Trace formulae and tri-diagonal matrices

• 3:00 – 3:30
  Coffee

• 3:30 – 4:20
  Peter Yuditskii (Michigan State University)
  On the inverse scattering problem for Jacobi matrices with spectrum on an interval, a finite system of intervals, or a Cantor set of positive length

• 4:30 – 4:55
  Gregory Eskin (UCLA)
  Inverse scattering problem at fixed energy in two dimensions

TUESDAY, FEBRUARY 19

• 9:00 – 9:25
  Alexei Rybkin (University of Alaska, Fairbanks)
  The Krein spectral shift function and the Weyl m-function for Schrödinger operators in one dimension

• 9:30 – 9:55
  Hrushikesh Mhaskar (California State University, Los Angeles)
  On the representation of band-limited signals using finitely many bits

• 10:00 – 10:30
  Coffee

• 10:30 – 11:20
  Evguenii Rakhmanov (University of South Florida)
  What are equilibrium positions of N electrons on a conducting sphere?

• 11:30 – 11:55
  Mourad Ismail (University of South Florida)
  Small eigenvalues of large Hankel matrices and indeterminate moment problems

• 12:00 – 1:00
  Lunch

• 1:00 – 1:50
  Alexander Kiselev (University of Chicago)
  Scattering and singular continuous spectrum for Schrödinger operators with decaying potentials

• 2:00 – 2:50
  Serguei Denissov (Caltech)
  Orthogonal polynomial theory and its application to the spectral analysis of Schrödinger operators

• 3:00 – 3:30
  Coffee

• 3:30 – 3:55
  Stanislav Kupin (Caltech)
  Remarks on the Hausdorff dimension of the singular spectrum of a Schrödinger operator with decaying potential

• 4:00 – 4:50
  Gunter Stolz (University of Alabama, Birmingham, visiting Caltech)
  Recent results and open problems for random Schrödinger operators

For information and registration, please contact Cherie Galvez at
(626) 395-3744 or cgalvez@its.caltech.edu. Registration fee is $10 (graduate students exempt).

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