684 citations
- The University of TokyoJP84 papers
- Tokyo Institute of TechnologyJP20 papers
- High Energy Accelerator Research OrganizationJP18 papers
- Kyoto UniversityJP18 papers
- RIKENJP17 papers
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- CEA Paris-SaclayFR12 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR11 papers
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5 papers · 1 filter
Polynuclear growth model, GOE and random matrix with deterministic source
T. Imamura, T. Sasamoto
We present a random matrix interpretation of the distribution functions which have appeared in the study of the one-dimensional polynuclear growth (PNG) model with external sources…
Hypergeometric Generating Function of L-function, Slater's Identities, and Quantum Invariant
Kazuhiro Hikami, Anatol N. Kirillov
We study certain connections between the quantum invariants of the torus knots T_{3,2^k} and some q-series identities. In particular, we obtain new generalizations of Slater's iden…
Fluctuations of the one-dimensional polynuclear growth model with external sources
T. Imamura, T. Sasamoto
The one-dimensional polynuclear growth model with external sources at edges is studied. The height fluctuation at the origin is known to be given by either the Gaussian, the GUE Tr…
On the Quantum Invariant for the Brieskorn Homology Spheres
Kazuhiro Hikami
We study an exact asymptotic behavior of the Witten-Reshetikhin-Turaev invariant for the Brieskorn homology spheres by use of properties of the modular form follow…
Quantum Knot Invariant for Torus Link and Modular Forms
Kazuhiro Hikami
We consider an asymptotic expansion of Kashaev's invariant or the colored Jones function for the torus link T(2,2m). We shall give q-series identity related to these invariants, an…