37 citations
- Kyoto UniversityJP30 papers
- Korea Institute for Advanced StudyKR5 papers
- The University of TokyoJP5 papers
- University of PaduaIT3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Fujian Normal UniversityCN2 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR2 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP2 papers
- Tokyo University of ScienceJP2 papers
- Beijing Institute of TechnologyCN1 paper
- Bielefeld UniversityDE1 paper
- Ewha Womans UniversityKR1 paper
33 papers
On large deviation rate functions for a continuous-time directed polymer in weak disorder
Ryoki Fukushima, Stefan Junk
We show that the endpoint large deviation rate function for a continuous-time directed polymer agrees with the rate function of the underlying random walk near the origin in the wh…
Kazhdan-Lusztig conjecture via Zastava spaces
Alexander Braverman, Michael Finkelberg, Hiraku Nakajima
We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Sat…
A lattice version of the Atiyah-Singer index theorem
Mayuko Yamashita
We formulate and prove a lattice version of the Atiyah-Singer index theorem. The main theorem gives a -theoretic formula for an index-type invariant of operators on lattice appr…
-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces
Takahiro Mori
In this paper, we discuss relationships between the continuous embeddings of Dirichlet spaces into Lebesgue spaces and the integrability of the assoc…
Global wellposedness for the energy-critical Zakharov system below the ground state
Timothy Candy, Sebastian Herr, Kenji Nakanishi
The Cauchy problem for the Zakharov system in the energy-critical dimension is considered. We prove that global well-posedness holds in the full (non-radial) energy space for…
A cubical model for -categories
Tim Campion, Chris Kapulkin, Yuki Maehara
We propose a new model for the theory of -categories (including the case ) in the category of marked cubical sets with connections, similar in flavor to compl…