1. Editorial

   Editorial 03 June 2009 Pages: 1 - 2

2. On Baxter \({\mathcal Q}\) -Operators and their Arithmetic Implications

   • Anton Gerasimov
   • Dimitri Lebedev
   • Sergey Oblezin

   OriginalPaper 13 January 2009 Pages: 3 - 30

3. Homogeneous Star Products

   • Louis Boutet De Monvel

   OriginalPaper 28 January 2009 Pages: 31 - 38

4. Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian

   • B. Feigin
   • E. Feigin
   • E. Mukhin

   OriginalPaper 30 January 2009 Pages: 39 - 77

5. Modules Over Deformation Quantization Algebroids: An Overview

   • Masaki Kashiwara
   • Pierre Schapira

   OriginalPaper 30 January 2009 Pages: 79 - 99

6. Fractal Strings and Multifractal Zeta Functions

   • Michel L. Lapidus
   • Jacques Lévy-Véhel
   • John A. Rock

   OriginalPaper Open access 26 February 2009 Pages: 101 - 129

7. Quantum Theta Functions and Gabor Frames for Modulation Spaces

   • Franz luef
   • Yuri I. Manin

   OriginalPaper Open access 26 February 2009 Pages: 131 - 161

8. On the Endomorphisms of Weyl Modules over Affine Kac–Moody Algebras at the Critical Level

   • Boris Feigin
   • Edward Frenkel
   • Leonid Rybnikov

   OriginalPaper Open access 27 February 2009 Pages: 163 - 173

9. Large Deviations and Scaling Limit

   • Srinivasa R. S. Varadhan

   OriginalPaper 05 March 2009 Pages: 175 - 185

10. Airy Functions Over Local Fields

    • Rahul N. Fernandez
    • V. S. Varadarajan
    • David Weisbart

    OriginalPaper Open access 21 March 2009 Pages: 187 - 206

11. Two-Dimensional Topological Strings Revisited

    • Nikita A. Nekrasov

    OriginalPaper 28 March 2009 Pages: 207 - 253

12. The Mean Field Theory of Spin Glasses: The Heuristic Replica Approach and Recent Rigorous Results

    • Giorgio Parisi

    OriginalPaper 10 April 2009 Pages: 255 - 269

13. Deformation Quantization on the Closure of Minimal Coadjoint Orbits

    • Christian Frønsdal

    OriginalPaper Open access 21 April 2009 Pages: 271 - 320

14. On Invariants of Graphs Related to Quantum \({\mathfrak {sl}(2)}\) at Roots of Unity

    • Nathan Geer
    • Nicolai Reshetikhin

    OriginalPaper Open access 13 May 2009 Pages: 321 - 331

15. The Principal Element of a Frobenius Lie Algebra

    • Murray Gerstenhaber
    • Anthony Giaquinto

    OriginalPaper 19 May 2009 Pages: 333 - 341

16. Oscillatory Modules

    • Boris Tsygan

    OriginalPaper 29 May 2009 Pages: 343 - 369