4.5 Article

OBSERVABLES OF MACDONALD PROCESSES

Journal

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 368, Issue 3, Pages 1517-1558

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/tran/6359

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Funding

  1. NSF [DMS-1056390, DMS-1208998]
  2. Microsoft Research through the Schramm Memorial Fellowship
  3. Clay Mathematics Institute Research Fellowship
  4. RFBR-CNRS grant [11-01-93105]
  5. [RFBR 13-02-00478]
  6. [NSH-3349.2012.2]
  7. [8606]
  8. Division Of Mathematical Sciences
  9. Direct For Mathematical & Physical Scien [1056390, 1438867] Funding Source: National Science Foundation

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We present a framework for computing averages of various observables of Macdonald processes. This leads to new contour-integral formulas for averages of a large class of multilevel observables, as well as Fredholm determinants for averages of two different single level observables.

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