1. A Hamilton–Jacobi PDE Associated with Hydrodynamic Fluctuations from a Nonlinear Diffusion Equation

   • Jin Feng
   • Toshio Mikami
   • Johannes Zimmer

   OriginalPaper 06 June 2021 Pages: 1 - 54

2. On Composite Quantum Hypothesis Testing

   • Mario Berta
   • Fernando G. S. L. Brandão
   • Christoph Hirche

   OriginalPaper Open access 10 June 2021 Pages: 55 - 77

3. General Lieb–Schultz–Mattis Type Theorems for Quantum Spin Chains

   • Yoshiko Ogata
   • Yuji Tachikawa
   • Hal Tasaki

   OriginalPaper 03 June 2021 Pages: 79 - 99

   

4. Vafa–Witten Invariants from Exceptional Collections

   • Guillaume Beaujard
   • Jan Manschot
   • Boris Pioline

   OriginalPaper 12 June 2021 Pages: 101 - 226

   

5. Quantum Unique Ergodicity for Eisenstein Series in the Level Aspect

   • Jiakun Pan
   • Matthew P. Young

   OriginalPaper 14 February 2021 Pages: 227 - 266

6. Higgs Bundles and Flat Connections Over Compact Sasakian Manifolds

   • Indranil Biswas
   • Hisashi Kasuya

   OriginalPaper 26 March 2021 Pages: 267 - 290

7. Kitaev’s Stabilizer Code and Chain Complex Theory of Bicommutative Hopf Algebras

   • Minkyu Kim

   OriginalPaper 04 April 2021 Pages: 291 - 329

   

8. On the Chern Character in Higher Twisted K-Theory and Spherical T-Duality

   • Lachlan Macdonald
   • Varghese Mathai
   • Hemanth Saratchandran

   OriginalPaper 05 May 2021 Pages: 331 - 368

   

9. Thermodynamic Formalism for Random Non-uniformly Expanding Maps

   • Manuel Stadlbauer
   • Shintaro Suzuki
   • Paulo Varandas

   OriginalPaper 19 April 2021 Pages: 369 - 427

10. The appearance of particle tracks in detectors

    • Miguel Ballesteros
    • Tristan Benoist
    • Jürg Fröhlich

    OriginalPaper 01 March 2021 Pages: 429 - 463

11. On Spectral Flow and Fermi Arcs

    • Guo Chuan Thiang

    OriginalPaper 08 February 2021 Pages: 465 - 493

    

12. A Lattice Version of the Atiyah–Singer Index Theorem

    • Mayuko Yamashita

    OriginalPaper 05 February 2021 Pages: 495 - 520

13. Flexibility and Rigidity in Steady Fluid Motion

    • Peter Constantin
    • Theodore D. Drivas
    • Daniel Ginsberg

    OriginalPaper 11 March 2021 Pages: 521 - 563

    

14. The N-Vortex Problem on a Riemann Sphere

    • Qun Wang

    OriginalPaper 22 March 2021 Pages: 565 - 593

    

15. Macdonald-Level Extension of Beta Ensembles and Large-N Limit Transition

    • Grigori Olshanski

    OriginalPaper 17 November 2020 Pages: 595 - 631