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60 papers · 1 filter
Isostaticity in two dimensional pile of rigid disks
Akihiro Kasahara, Hiizu Nakanishi
We study the static structure of piles made of polydisperse disks in the rigid limit with and without friction using molecular dynamic simulations for various elasticities of the d…
Generalized Partitioned Quantum Cellular Automata and Quantization of Classical CA
Shuichi Inokuchi, Yoshihiro Mizoguchi
In this paper, in order to investigate natural transformations from discrete CA to QCA, we introduce a new formulation of finite cyclic QCA and generalized notion of partitioned QC…
On F-pure thresholds
Shunsuke Takagi, Kei-ichi Watanabe
Using the Frobenius map, we introduce a new invariant for a pair $(R,\a)$ of a ring and an ideal $\a \subset R$, which we call the F-pure threshold $\mathrm{c}(\a)$ of $\a$, an…
HNN Extensions of von Neumann Algebras
Yoshimichi Ueda
Reduced HNN extensions of von Neumann algebras (as well as -algebras) will be introduced, and their modular theory, factoriality and ultraproducts will be discussed. In severa…
Correlation functions of the shifted Schur measure
Sho Matsumoto
The shifted Schur measure introduced by Tracy and Widom is a measure on the set of all strict partitions, which is defined by Schur -functions. The main aim of this paper is to…
Applications of Minor Summation Formula III, Plucker Relations, Lattice Paths and Pfaffian Identities
Masao Ishikawa, Masato Wakayama
The initial purpose of this paper is to provide a combinatorial proof of the minor summation formula of Pfaffians based on the lattice path method. There we related Plücker relatio…